
NGF_Erk

seed_ := 25$

NUMBER OF EQUATIONS$

n_ := 6$

VARIABLES VECTOR$

b_ := {k_3__trka_ngf,
k_6__rasgtp,
k_8__praf,
k_10__pmek,
s__perk,
y1}$

UNKNOWN PARAMETER(S) VECTOR$

b1_ := {k_1,
k_2,
k_4,
k_5,
k_7,
k_9,
k_11,
k_3__trka_0,
k_6__ras_0,
k_8__raf_0,
k_10__mek_0,
s__erk_0,
s_k,
n,
ngf_0}$

RANKING AMONG THE VARIABLES$

bb_ := {k_3__trka_ngf,
df(k_3__trka_ngf,t),
df(k_3__trka_ngf,t,2),
df(k_3__trka_ngf,t,3),
df(k_3__trka_ngf,t,4),
df(k_3__trka_ngf,t,5),
k_6__rasgtp,
k_8__praf,
k_10__pmek,
s__perk,
y1,
df(k_6__rasgtp,t),
df(k_8__praf,t),
df(k_10__pmek,t),
df(s__perk,t),
df(y1,t)}$

NUMBER OF INPUT(S)$

nu_ := 0$

NUMBER OF OUTPUT(S)$

ny_ := 1$

NUMBER OF STATE(S) $

nx_ := 5$

MODEL EQUATION(S)$

c_ := {df(k_3__trka_ngf,t)=(k_3__trka_0 - k_3__trka_ngf)*k_1*ngf_0 - k_2*k_3__trka_ngf,
df(k_6__rasgtp,t)=(s_k**n*((k_6__ras_0 - k_6__rasgtp)*k_4 - k_5*k_6__rasgtp + (k_6__ras_0 - k_6__rasgtp)*k_3__trka_ngf) 
+ s__perk**n*((k_6__ras_0 - k_6__rasgtp)*k_4 - k_5*k_6__rasgtp))/(s__perk**n + s_k**n),
df(k_8__praf,t)= - (k_8__praf - k_8__raf_0)*k_6__rasgtp - k_7*k_8__praf,
df(k_10__pmek,t)= - (k_8__praf + k_9)*k_10__pmek + k_10__mek_0*k_8__praf,
df(s__perk,t)=(s__erk_0 - s__perk)*k_10__pmek - k_11*s__perk,
y1=s__perk}$

CHARACTERISTIC SET$

aa_(1) := df(k_3__trka_ngf,t) + k_3__trka_ngf*(k_1*ngf_0 + k_2) - k_1*k_3__trka_0*ngf_0$

aa_(2) :=  - s__perk + y1$

aa_(3) := df(k_6__rasgtp,t)*(s__perk**n + s_k**n) + s_k**n*k_3__trka_ngf*k_6__rasgtp - s_k**n*k_3__trka_ngf*k_6__ras_0 +
 k_6__rasgtp*(s__perk**n*k_4 + s__perk**n*k_5 + s_k**n*k_4 + s_k**n*k_5) - k_4*k_6__ras_0*(s__perk**n + s_k**n)$

aa_(4) := df(k_8__praf,t) + k_6__rasgtp*k_8__praf - k_6__rasgtp*k_8__raf_0 + k_8__praf*k_7$

aa_(5) := df(k_10__pmek,t) + k_10__pmek*k_8__praf + k_10__pmek*k_9 - k_8__praf*k_10__mek_0$

aa_(6) := df(s__perk,t) + k_10__pmek*s__perk - k_10__pmek*s__erk_0 + s__perk*k_11$

MODEL NOT ALGEBRAICALLY OBSERVABLE$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S) VECTOR$

b2_ := {k_1=8,
k_2=16,
k_4=3,
k_5=20,
k_7=17,
k_9=13,
k_11=5,
k_3__trka_0=10,
k_6__ras_0=24,
k_8__raf_0=22,
k_10__mek_0=15,
s__erk_0=2,
s_k=12,
n=18,
ngf_0=11}$

EXHAUSTIVE SUMMARY $

flist_ := { - k_1*k_3__trka_0*ngf_0 + 880,k_1*ngf_0 + k_2 - 104}$

MODEL PARAMETER SOLUTION(S)$

 G_:=GROESOLVE(FLIST_,B1_) $

g_ := {{k_2= - k_1*ngf_0 + 104,k_3__trka_0=880/(k_1*ngf_0)}}$

MODEL NON IDENTIFIABLE$

IDENTIFIABILITY WITH THE KNOWN INITIAL CONDITION(S)$

bi_ := {k_3__trka_ngf,y1,y1,y1,y1}$

aai_(2) :=  - s__perk + y1$

ic1_ := {}$

BBBI_ INCLUDES THE BB_ ENTRIES CALCULATED AT T=0$

bbbi_ := {df(k_3__trka_ngf,t)=k_3__trka_ngfd10,k_3__trka_ngf=k_3__trka_ngf0,y1=y1_0}$

UNKNOWN PARAMETER(S) VECTOR$

b1i_ := {k_1,
k_2,
k_4,
k_5,
k_7,
k_9,
k_11,
k_3__trka_0,
k_6__ras_0,
k_8__raf_0,
k_10__mek_0,
s__erk_0,
s_k,
n,
ngf_0,
y1_0}$

EXHAUSTIVE SUMMARY EVALUATED AT TIME T=0 $

bbi_ := {k_3__trka_ngfd10,k_3__trka_ngf0}$

flisty_ := {104*k_3__trka_ngf0 + k_3__trka_ngfd10 - 880}$

 GY_:=GROESOLVE(FLISTY_,BBI_)$

gy_ := {{k_3__trka_ngf0=( - k_3__trka_ngfd10 + 880)/104}}$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S ) VECTOR$

b2i_ := {k_1=8,
k_2=16,
k_4=3,
k_5=20,
k_7=17,
k_9=13,
k_11=5,
k_3__trka_0=10,
k_6__ras_0=24,
k_8__raf_0=22,
k_10__mek_0=15,
s__erk_0=2,
s_k=12,
n=18,
ngf_0=11,
y1_0=4}$

EXHAUSTIVE SUMMARY$

flist1i_ := { - k_1*k_3__trka_0*ngf_0 + 880,
k_1*ngf_0 + k_2 - 104,
 - s__perk + y1_0}$

GI_=GROESOLVE(FLIST1I_,B1I_)  $

gi_ := {{y1_0=s__perk,k_2= - k_1*ngf_0 + 104,k_3__trka_0=880/(k_1*ngf_0)}}$

MODEL NON IDENTIFIABLE$
Elapsed time for NGF-Erk: 1.0300604 seconds
