
Cholesterol1

seed_ := 65$

NUMBER OF EQUATIONS$

n_ := 3$

VARIABLES VECTOR$

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

UNKNOWN PARAMETER(S) VECTOR$

b1_ := {k01,
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)= - (k21*x1 - u1 - k12*x2) - k01*x1,
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*(k01 + k21) - x2*k12$

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

MODEL ALGEBRAICALLY OBSERVABLE$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S) VECTOR$

b2_ := {k01=63,k02=41,k12=38,k21=35,v1=32}$

EXHAUSTIVE SUMMARY $

flist_ := { - k21 + 35,k02 + k12 - 79}$

MODEL PARAMETER SOLUTION(S)$

 G_:=GROESOLVE(FLIST_,B1_) $

g_ := {{k02= - k12 + 79,k21=35}}$

MODEL NON IDENTIFIABLE$
