**********************************************************************************
*                                                                                                      
* GENERATING SERIES approach for Structural Identifiability Analysis   
*                                                                                                      
* Oana Chis, Julio R. Banga and Eva Balsa-Canto                                
*  BioProcess Engineering Group, IIM-CSIC, Vigo-Spain                        
*  contact: [chisoana,julio,ebalsa]@iim.csic.es                                     
*                                                                                                        
**********************************************************************************

Matlab version=9.2.0.538062 (R2017a)
Computer=PCWIN64
options:
                verbose: 1
                 noRank: 0
            closeFigure: 1
    problem_folder_path: 'D:\data\Tom\Research\GenSSI\Results\BIOMD03_syms\run3'

STRUCTURAL IDENTIFIABILITY ANALYSIS FOR: BIOMD03_syms Model
 

***************
* INPUT DATA 
***************

-----> Maximum number of derivatives for the analysis: 8
-----> Dynamic model:
	A1=vi_reaction1 - C*kd_reaction2 - (C*X*vd_reaction3)/(C + Kd_reaction3)
 
	A2=- (M*V2_reaction5)/(K2_reaction5 + M) - (C*VM1*(M - 1))/((C + Kc)*(K1_reaction4 - M + 1))
 
	A3=- (V4_reaction7*X)/(K4_reaction7 + X) - (M*VM3*(X - 1))/(K3_reaction6 - X + 1)
 
-----> Control variables:
-----> Observables:
	H1=C
 
	H2=X
 
	H3=M
 
-----> Initial conditions:
	IC=[ 1/100, 1/100, 1/100]
 
-----> Parameters to be considered in the analysis:
	Par=[ Kc, vi_reaction1, kd_reaction2, vd_reaction3, Kd_reaction3, K1_reaction4, V2_reaction5, K2_reaction5, K3_reaction6, K4_reaction7, V4_reaction7]
 



Report inputs elapsed time: 0.10969
*******************************
-> COMPUTE LIE DERIVATIVES
*******************************

COMPUTING LIE DERIVATIVES OF ORDER 1
.................................................................
   ->The rank of the Jacobian generated by 1 derivatives is  3.
   ->The rank of the next Jacobian is expected to be maximum 6.
.................................................................
  
COMPUTING LIE DERIVATIVES OF ORDER 2
   
.................................................................
   ->The rank of the Jacobian generated by 2 derivatives is  6.
   ->The rank of the next Jacobian is expected to be maximum 9.
.................................................................
  
COMPUTING LIE DERIVATIVES OF ORDER 3
   
.................................................................
   ->The rank of the Jacobian generated by 3 derivatives is  9.
   ->The rank of the next Jacobian is expected to be maximum 11.
.................................................................
  
COMPUTING LIE DERIVATIVES OF ORDER 4
   
.................................................................
   ->The rank of the Jacobian generated by 4 derivatives is 11.
Compute Lie derivatives elapsed time: 21.6261


***************************************
-> COMPUTE IDENTIFIABILITY TABLEAU
***************************************

 ----->The rank of the full Jacobian matrix is 11 

 ---->THE RANK OF THE FULL JACOBIAN IS COMPLETE, THUS AT LEAST LOCAL IDENTIFIABILITY IS GUARANTEED.
Compute tableau elapsed time: 7.5933


************************************************
-> COMPUTE REDUCED IDENTIFIABILITY TABLEAUS
************************************************


*****************************************************
-> THE RELATIONS NEEDED FOR COMPUTING THE PARAMETERS
*****************************************************

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         vi_reaction1 - kd_reaction2/100 - c1 - vd_reaction3/(10000*(Kd_reaction3 + 1/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  (99*VM3)/(10000*(K3_reaction6 + 99/100)) - V4_reaction7/(100*(K4_reaction7 + 1/100)) - c2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)) - V2_reaction5/(100*(K2_reaction5 + 1/100)) - c3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - c4 + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)) - c5 - (99*VM3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - c6
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100)^2)) - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reac\\\r\ntion6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100))) - c7 + (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((99*VM3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(K3_reaction6 + 99/100)) - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(VM3/(K3_reaction6 + 99/100) - (99*VM3)/(100*(K3_reaction6 + 99/100)^2)) + (99*VM3*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100))) - c8 + (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((2*V4_reaction7)/(K4_reaction7 + 1/100)^2 - V4_reaction7/(50*(K4_reaction7 + 1/100)^3) - VM3/(50*(K3_reaction6 + 99/\\\r\n100)^2) + (99*VM3)/(5000*(K3_reaction6 + 99/100)^3)) - (V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2))^2 - (VM3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(K3_reaction6 + 99/100) + (99*VM3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100)^2)) - (99*VM3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))))/(100*(K3_reaction6 + 99/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/\\\r\n100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (9\\\r\n9*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) + (V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))^2) - c9
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         - c10 - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(((99*VM3*vd_reaction3)/(100*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)) - (99*VM3*vd_reaction3)/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (99*VM3*((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100))))/(100*(K3_reaction6 + 99/100)) - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_\\\r\nreaction6 + 99/100)))*(VM3/(K3_reaction6 + 99/100) - (99*VM3)/(100*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (99*VM3*vd_reaction3*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(((2*vd_reaction3)/(Kd_reaction3 + 1/100)^2 - vd_reaction3/(50*(Kd_reaction3 + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)) - (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(1\\\r\n00*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)^2) - (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)^2) + (vd_reaction3*(vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3)))/(100*(Kd_reaction3 + 1/100))) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*((vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reac\\\r\ntion2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100)^2)) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(3*(vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)) - ((3*vd_reaction3)/(50*(Kd_reaction3 + 1/100)^3) - (3*vd_reaction3)/(5000*(Kd_reaction3 + 1/100)^4))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (2*vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reac\\\r\ntion6 + 99/100))))/(Kd_reaction3 + 1/100)^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(50*(Kd_reaction3 + 1/100)^3)) + (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)) - (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)^2) - (99*VM3*vd_reaction3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))) - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(((2*vd_reaction3)/(Kd_reaction3 + 1/100)^2 - vd_reaction3/(50*(Kd_reaction3 + 1/100)^3))*(kd_reacti\\\r\non2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - 2*(vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)) - (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)^2) + (vd_reaction3*(vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3)))/(100*(Kd_reaction3 + 1/100))) - ((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (vd_reac\\\r\ntion3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)))*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)) + ((vd_reaction3*((2*V4_reaction7)/(K4_reaction7 + 1/100)^2 - V4_reaction7/(50*(K4_reaction7 + 1/100)^3) - VM3/(50*(K3_reaction6 + 99/100)^2) + (99*VM3)/(5000*(K3_reaction6 + 99/100)^3)))/(100*(Kd_reaction3 + 1/100)) - (vd_reaction3*(vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2)))/(50*(Kd_reaction3 + 1/100)))*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))) + (vd_reaction3*((vd_reaction3/(50*(Kd_reacti\\\r\non3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)) - (VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)) + (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)^2*(Kd_reaction3 + 1/100)))
 (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((6*V2_reaction5)/(K2_reaction5 + 1/100)^3 - (3*V2_reaction5)/(50*(K2_reaction5 + 1/100)^4) + (3*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) - (297*VM1)/(5000*(K1_reaction4 + 99/100)^4*(Kc + 1/100))) - 3*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((2*VM1)/((K1_react\\\r\nion4 + 99/100)^2*(Kc + 1/100)) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) - (99*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)^2))) + ((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) + (V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))^2)*(V2_reactio\\\r\nn5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(2*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + ((99*VM1\\\r\n)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)*(Kc + 1/100)^2) - VM1/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (99*VM1)/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^3)) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)^2*(Kc + 1/100)) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) - (99*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)^2))) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3\\\r\n_reaction6 + 99/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (99*VM3*vd_reaction3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))) - c11 - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)) - (vd_reaction3*((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3)))/(100*(Kd_reaction3 + 1/100)))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (vd_reac\\\r\ntion3*(((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reac\\\r\ntion3/(10000*(Kd_reaction3 + 1/100)^2))))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) - (vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)))/(100*(Kd_reaction3 + 1/100))) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(2*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2\\\r\n_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) - (kd_reaction2/100 - vi_\\\r\nreaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)*(Kc + 1/100)^2) - VM1/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (99*VM1)/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^3)) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)^2*(Kc + 1/100)) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) - (99*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)^2))) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(((297*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (297*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^4))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*((99*VM1)/(100*(K1_reaction4 + 99/\\\r\n100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)) - ((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)*(Kc + 1/100)^2) - VM1/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (99*VM1)/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^3)) + 2*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction\\\r\n4 + 99/100)^2*(Kc + 1/100)^2)) - 2*((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) + (V2_reaction5/(K2_reaction5 + 1/100) \\\r\n- V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))^2) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100\\\r\n)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3)))/(100*(Kd_reaction3 + 1/100)) - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))\\\r\n)/(100*(Kd_reaction3 + 1/100)^2))
 
Compute reduced tableau  elapsed time: 11.7828


******************************************************************************************
-> DETECT (DIRECT) STRUCTURALLY GLOBALLY IDENTIFIABLE PARAMETERS AND REORGANIZES TABLEAU
*******************************************************************************************



 -> STRUCTURALLY GLOBALLY IDENTIFIABLE PARAMETERS DETERMINED DIRECTLY 
   (parameters corresponding to one non-zero element in the reduced identifiability tableau)



************************************************************************************************************
->THE REMAINING PARAMETERS (APART FROM IDENTIFIABLE OR NON-IDENTIFIABLE), AND THE CORRESPONDING RELATIONS  
************************************************************************************************************

-----> Parameters: 
[ Kc, vi_reaction1, kd_reaction2, vd_reaction3, Kd_reaction3, K1_reaction4, V2_reaction5, K2_reaction5, K3_reaction6, K4_reaction7, V4_reaction7]
 
-----> Relations: 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         vi_reaction1 - kd_reaction2/100 - c1 - vd_reaction3/(10000*(Kd_reaction3 + 1/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  (99*VM3)/(10000*(K3_reaction6 + 99/100)) - V4_reaction7/(100*(K4_reaction7 + 1/100)) - c2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)) - V2_reaction5/(100*(K2_reaction5 + 1/100)) - c3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - c4 + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)) - c5 - (99*VM3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - c6
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100)^2)) - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reac\\\r\ntion6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100))) - c7 + (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((99*VM3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(K3_reaction6 + 99/100)) - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(VM3/(K3_reaction6 + 99/100) - (99*VM3)/(100*(K3_reaction6 + 99/100)^2)) + (99*VM3*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100))) - c8 + (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((2*V4_reaction7)/(K4_reaction7 + 1/100)^2 - V4_reaction7/(50*(K4_reaction7 + 1/100)^3) - VM3/(50*(K3_reaction6 + 99/\\\r\n100)^2) + (99*VM3)/(5000*(K3_reaction6 + 99/100)^3)) - (V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2))^2 - (VM3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(K3_reaction6 + 99/100) + (99*VM3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100)^2)) - (99*VM3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))))/(100*(K3_reaction6 + 99/100))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/\\\r\n100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (9\\\r\n9*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) + (V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))^2) - c9
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         - c10 - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(((99*VM3*vd_reaction3)/(100*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)) - (99*VM3*vd_reaction3)/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (99*VM3*((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100))))/(100*(K3_reaction6 + 99/100)) - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_\\\r\nreaction6 + 99/100)))*(VM3/(K3_reaction6 + 99/100) - (99*VM3)/(100*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (99*VM3*vd_reaction3*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(((2*vd_reaction3)/(Kd_reaction3 + 1/100)^2 - vd_reaction3/(50*(Kd_reaction3 + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)) - (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(1\\\r\n00*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)^2) - (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)^2) + (vd_reaction3*(vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3)))/(100*(Kd_reaction3 + 1/100))) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*((vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reac\\\r\ntion2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100)^2)) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(3*(vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)) - ((3*vd_reaction3)/(50*(Kd_reaction3 + 1/100)^3) - (3*vd_reaction3)/(5000*(Kd_reaction3 + 1/100)^4))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (2*vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reac\\\r\ntion6 + 99/100))))/(Kd_reaction3 + 1/100)^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(50*(Kd_reaction3 + 1/100)^3)) + (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)) - (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)^2) - (99*VM3*vd_reaction3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))) - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(((2*vd_reaction3)/(Kd_reaction3 + 1/100)^2 - vd_reaction3/(50*(Kd_reaction3 + 1/100)^3))*(kd_reacti\\\r\non2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - 2*(vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)) - (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)^2) + (vd_reaction3*(vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3)))/(100*(Kd_reaction3 + 1/100))) - ((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) + (vd_reac\\\r\ntion3*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)))*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)) + ((vd_reaction3*((2*V4_reaction7)/(K4_reaction7 + 1/100)^2 - V4_reaction7/(50*(K4_reaction7 + 1/100)^3) - VM3/(50*(K3_reaction6 + 99/100)^2) + (99*VM3)/(5000*(K3_reaction6 + 99/100)^3)))/(100*(Kd_reaction3 + 1/100)) - (vd_reaction3*(vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2)))/(50*(Kd_reaction3 + 1/100)))*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))) + (vd_reaction3*((vd_reaction3/(50*(Kd_reacti\\\r\non3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))^2 - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100))))/(100*(Kd_reaction3 + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)) - (VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(100*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100)) + (99*VM3*vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100))))/(10000*(K3_reaction6 + 99/100)^2*(Kd_reaction3 + 1/100)))
 (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((6*V2_reaction5)/(K2_reaction5 + 1/100)^3 - (3*V2_reaction5)/(50*(K2_reaction5 + 1/100)^4) + (3*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) - (297*VM1)/(5000*(K1_reaction4 + 99/100)^4*(Kc + 1/100))) - 3*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((2*VM1)/((K1_react\\\r\nion4 + 99/100)^2*(Kc + 1/100)) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) - (99*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)^2))) + ((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) + (V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))^2)*(V2_reactio\\\r\nn5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(2*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + ((99*VM1\\\r\n)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)*(Kc + 1/100)^2) - VM1/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (99*VM1)/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^3)) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)^2*(Kc + 1/100)) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) - (99*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)^2))) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3\\\r\n_reaction6 + 99/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)))/(100*(Kd_reaction3 + 1/100)) + (99*VM3*vd_reaction3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(10000*(K3_reaction6 + 99/100)*(Kd_reaction3 + 1/100))) - c11 - (V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*(((vd_reaction3/(Kd_reaction3 + 1/100) - vd_reaction3/(100*(Kd_reaction3 + 1/100)^2))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)) - (vd_reaction3*((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3)))/(100*(Kd_reaction3 + 1/100)))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (vd_reac\\\r\ntion3*(((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reac\\\r\ntion3/(10000*(Kd_reaction3 + 1/100)^2))))/(100*(Kd_reaction3 + 1/100)) + (vd_reaction3*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V4_reaction7/(K4_reaction7 + 1/100) - V4_reaction7/(100*(K4_reaction7 + 1/100)^2) + VM3/(100*(K3_reaction6 + 99/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)^2)))/(100*(Kd_reaction3 + 1/100)) - (vd_reaction3*(V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)))/(100*(Kd_reaction3 + 1/100))) + (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(2*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2\\\r\n_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) + ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) - (kd_reaction2/100 - vi_\\\r\nreaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)*(Kc + 1/100)^2) - VM1/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (99*VM1)/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^3)) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)^2*(Kc + 1/100)) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) - (99*VM1)/(50*(K1_reaction4 + 99/100)^3*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100)^2))) - (kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(((297*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (297*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^4))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - (vd_reaction3/(50*(Kd_reaction3 + 1/100)^2) - vd_reaction3/(5000*(Kd_reaction3 + 1/100)^3))*((99*VM1)/(100*(K1_reaction4 + 99/\\\r\n100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)) - ((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*VM1)/((K1_reaction4 + 99/100)*(Kc + 1/100)^2) - VM1/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^3) - (99*VM1)/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^3)) + 2*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction\\\r\n4 + 99/100)^2*(Kc + 1/100)^2)) - 2*((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*((kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*((2*V2_reaction5)/(K2_reaction5 + 1/100)^2 - V2_reaction5/(50*(K2_reaction5 + 1/100)^3) - VM1/(50*(K1_reaction4 + 99/100)^2*(Kc + 1/100)) + (99*VM1)/(5000*(K1_reaction4 + 99/100)^3*(Kc + 1/100))) + (V2_reaction5/(K2_reaction5 + 1/100) \\\r\n- V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)))^2) + (kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))*(((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3))*(kd_reaction2/100 - vi_reaction1 + vd_reaction3/(10000*(Kd_reaction3 + 1/100))) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(V2_reaction5/(K2_reaction5 + 1/100) - V2_reaction5/(100*(K2_reaction5 + 1/100)^2) + VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100))) + (V2_reaction5/(100*(K2_reaction5 + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)))*(VM1/((K1_reaction4 + 99/100)*(Kc + 1/100)) - VM1/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(100*(K1_reaction4 + 99/100\\\r\n)^2*(Kc + 1/100)) + (99*VM1)/(10000*(K1_reaction4 + 99/100)^2*(Kc + 1/100)^2)) - ((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))*(kd_reaction2 + vd_reaction3/(100*(Kd_reaction3 + 1/100)) - vd_reaction3/(10000*(Kd_reaction3 + 1/100)^2))) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(50*(K1_reaction4 + 99/100)*(Kc + 1/100)^2) - (99*VM1)/(5000*(K1_reaction4 + 99/100)*(Kc + 1/100)^3)))/(100*(Kd_reaction3 + 1/100)) - (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2)))/(Kd_reaction3 + 1/100) + (vd_reaction3*(V4_reaction7/(100*(K4_reaction7 + 1/100)) - (99*VM3)/(10000*(K3_reaction6 + 99/100)))*((99*VM1)/(100*(K1_reaction4 + 99/100)*(Kc + 1/100)) - (99*VM1)/(10000*(K1_reaction4 + 99/100)*(Kc + 1/100)^2))\\\r\n)/(100*(Kd_reaction3 + 1/100)^2))
 
-----> THE SYMBOLIC SOLUTION OF THE REMAINING PARAMETERS: 
[Warning: Unable to find explicit solution. For options, see <a href="matlab:web(fullfile(docroot, 'symbolic/troubleshoot-equation-solutions-from-solve-function.html'))">help</a>.] 
[> In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('solve', 'C:\Program Files\MATLAB\R2017a\toolbox\symbolic\symbolic\solve.m', 317)" style="font-weight:bold">solve</a> (<a href="matlab: opentoline('C:\Program Files\MATLAB\R2017a\toolbox\symbolic\symbolic\solve.m',317,0)">line 317</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('genssiOrderTableau>solveRemPar', 'D:\data\Tom\Research\GenSSI\Auxiliary\genssiOrderTableau.m', 682)" style="font-weight:bold">genssiOrderTableau>solveRemPar</a> (<a href="matlab: opentoline('D:\data\Tom\Research\GenSSI\Auxiliary\genssiOrderTableau.m',682,0)">line 682</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('genssiOrderTableau', 'D:\data\Tom\Research\GenSSI\Auxiliary\genssiOrderTableau.m', 216)" style="font-weight:bold">genssiOrderTableau</a> (<a href="matlab: opentoline('D:\data\Tom\Research\GenSSI\Auxiliary\genssiOrderTableau.m',216,0)">line 216</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('genssiMain', 'D:\data\Tom\Research\GenSSI\genssiMain.m', 123)" style="font-weight:bold">genssiMain</a> (<a href="matlab: opentoline('D:\data\Tom\Research\GenSSI\genssiMain.m',123,0)">line 123</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('runBIOMD03', 'D:\data\Tom\Research\GenSSI\Examples\runBIOMD03.m', 15)" style="font-weight:bold">runBIOMD03</a> (<a href="matlab: opentoline('D:\data\Tom\Research\GenSSI\Examples\runBIOMD03.m',15,0)">line 15</a>)] 
-----> The parameter Kc has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter vi_reaction1 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter kd_reaction2 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter vd_reaction3 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter Kd_reaction3 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter K1_reaction4 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter V2_reaction5 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter K2_reaction5 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter K3_reaction6 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter K4_reaction7 has the solution/solutions: 
  matrix(0, 1, [])
-----> The parameter V4_reaction7 has the solution/solutions: 
  matrix(0, 1, [])
Order tableau elapsed time: 9076.3103


***************************************************************

 -----> THE MODEL IS STRUCTURALLY LOCALLY IDENTIFIABLE 

***************************************************************

        The structurally globally identifiable parameters are: 

         	None

        The structurally locally identifiable parameters are: 

     	[      Kc	      vi_reaction1	      kd_reaction2	      vd_reaction3	      Kd_reaction3	      K1_reaction4	      V2_reaction5	      K2_reaction5	      K3_reaction6	      K4_reaction7	      V4_reaction7	]


Report results elapsed time: 0.018937
Total elapsed time: 9117.4467
