
Cholesterol2

seed_ := 65$

NUMBER OF EQUATIONS$

n_ := 3$

VARIABLES VECTOR$

b_ := {x1,x2,u1,y1}$

UNKNOWN PARAMETER(S) VECTOR$

b1_ := {k02,k12,k21,v1}$

RANKING AMONG THE VARIABLES$

bb_ := {x1,
x2,
df(x1,t),
df(x2,t),
df(x1,t,2),
df(x2,t,2),
u1,
y1,
df(u1,t),
df(y1,t)}$

NUMBER OF INPUT(S)$

nu_ := 1$

NUMBER OF OUTPUT(S)$

ny_ := 1$

NUMBER OF STATE(S) $

nx_ := 2$

MODEL EQUATION(S)$

c_ := {df(x1,t)=u1 - x1 - k21*x1 + k12*x2,
df(x2,t)= - (k12*x2 - k21*x1) - k02*x2,
y1=x1/v1}$

CHARACTERISTIC SET$

aa_(1) := df(x2,t) - x1*k21 + x2*(k02 + k12)$

aa_(2) := df(x1,t) - u1 + x1*(k21 + 1) - x2*k12$

aa_(3) :=  - x1 + y1*v1$

MODEL ALGEBRAICALLY OBSERVABLE$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S) VECTOR$

b2_ := {k02=63,k12=41,k21=38,v1=35}$

EXHAUSTIVE SUMMARY $

flist_ := { - k21 + 38,k02 + k12 - 104}$

MODEL PARAMETER SOLUTION(S)$

 G_:=GROESOLVE(FLIST_,B1_) $

g_ := {{k02= - k12 + 104,k21=38}}$

MODEL NON IDENTIFIABLE$
Elapsed time for Cholesterol2: 1.0050974 seconds
