
TransfectionMultiEx

seed_ := 65$

NUMBER OF EQUATIONS$

n_ := 4$

VARIABLES VECTOR$

b_ := {x1,x2,x3,y1}$

UNKNOWN PARAMETER(S) VECTOR$

b1_ := {d1,
d2tm0,
d3,
b,
ktltm0,
e0dm0}$

RANKING AMONG THE VARIABLES$

bb_ := {x1,
df(x1,t),
df(x1,t,2),
df(x1,t,3),
x2,
x3,
y1,
df(x2,t),
df(x3,t),
df(y1,t)}$

NUMBER OF INPUT(S)$

nu_ := 0$

NUMBER OF OUTPUT(S)$

ny_ := 1$

NUMBER OF STATE(S) $

nx_ := 3$

MODEL EQUATION(S)$

c_ := {df(x1,t)= - d1*x1 - d2tm0*x1*x3,
df(x2,t)= - b*x2 + ktltm0*x1,
df(x3,t)=(e0dm0 - x3)*d3 - d2tm0*x1*x3,
y1=x2}$

CHARACTERISTIC SET$

aa_(1) :=  - df(x1,t,2)*x1 + df(x1,t)**2 - df(x1,t)*x1**2*d2tm0 - df(x1,t)*x1*d3 - x1**3*d1*d2tm0 - x1**2*d3*(d1 + d2tm0
*e0dm0)$

aa_(2) := df(x1,t) + x1*x3*d2tm0 + x1*d1$

aa_(3) :=  - x2 + y1$

aa_(4) := df(x2,t) - x1*ktltm0 + x2*b$

MODEL NOT ALGEBRAICALLY OBSERVABLE$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S) VECTOR$

b2_ := {d1=63,d2tm0=41,d3=38,b=35,ktltm0=32,e0dm0=23}$

EXHAUSTIVE SUMMARY $

flist_ := { - d2tm0 + 41,
 - d3 + 38,
 - d1*d2tm0 + 2583,
 - d1*d3 - d2tm0*d3*e0dm0 + 38228}$

MODEL PARAMETER SOLUTION(S)$

 G_:=GROESOLVE(FLIST_,B1_) $

g_ := {{e0dm0=23,d1=63,d2tm0=41,d3=38}}$

MODEL NON IDENTIFIABLE$

IDENTIFIABILITY WITH THE KNOWN INITIAL CONDITION(S)$

bi_ := {x1,x3,y1}$

aai_(2) := df(x1,t) + x1*x3*d2tm0 + x1*d1$

aai_(3) :=  - x2 + y1$

ic1_ := {x3=1}$

BBBI_ INCLUDES THE BB_ ENTRIES CALCULATED AT T=0$

bbbi_ := {df(x1,t,2)=x1d20,df(x1,t)=x1d10,x1=x10,x3=1,y1=y1_0}$

UNKNOWN PARAMETER(S) VECTOR$

b1i_ := {d1,
d2tm0,
d3,
b,
ktltm0,
e0dm0,
y1_0}$

EXHAUSTIVE SUMMARY EVALUATED AT TIME T=0 $

bbi_ := {x1d20,x1d10,x10}$

flisty_ := { - 2583*x10**3 - 41*x10**2*x1d10 - 38228*x10**2 - 38*x10*x1d10 - x10*x1d20 + x1d10**2,104*x10 + x1d10}$

 GY_:=GROESOLVE(FLISTY_,BBI_)$

gy_ := {{x1d10=0,x10=0,x1d20=arbcomplex(1)},
{x1d20=x10*(1681*x10 - 23460),x1d10= - 104*x10}}$

gy_ := {}$
Elapsed time for TransfectionTransformation: 1.0332638 seconds
