
TransfectionMultiEx

seed_ := 65$

NUMBER OF EQUATIONS$

n_ := 9$

VARIABLES VECTOR$

b_ := {x1,
x2,
x3,
x4,
x5,
x6,
x7,
x8,
y1}$

UNKNOWN PARAMETER(S) VECTOR$

b1_ := {d,b,ktl}$

RANKING AMONG THE VARIABLES$

bb_ := {x1,
df(x1,t),
df(x1,t,2),
df(x1,t,3),
df(x1,t,4),
df(x1,t,5),
df(x1,t,6),
df(x1,t,7),
df(x1,t,8),
x2,
x3,
x4,
x5,
x6,
x7,
x8,
y1,
df(x2,t),
df(x3,t),
df(x4,t),
df(x5,t),
df(x6,t),
df(x7,t),
df(x8,t),
df(y1,t)}$

NUMBER OF INPUT(S)$

nu_ := 0$

NUMBER OF OUTPUT(S)$

ny_ := 1$

NUMBER OF STATE(S) $

nx_ := 8$

MODEL EQUATION(S)$

c_ := {df(x1,t)= - d*x1,
df(x2,t)= - b*x2 + ktl*x1,
df(x3,t)= - d*x3,
df(x4,t)= - b*x4 + ktl*x3,
df(x5,t)= - d*x5,
df(x6,t)=( - 2*b*x6 + ktl*x5)/2,
df(x7,t)= - d*x7,
df(x8,t)=( - 3*b*x8 + 4*ktl*x7)/4,
y1=x2}$

CHARACTERISTIC SET$

aa_(1) := df(x1,t) + x1*d$

aa_(2) :=  - x2 + y1$

aa_(3) := df(x2,t) - x1*ktl + x2*b$

aa_(4) := df(x3,t) + x3*d$

aa_(5) := df(x4,t) - x3*ktl + x4*b$

aa_(6) := df(x5,t) + x5*d$

aa_(7) := 2*df(x6,t) - x5*ktl + 2*x6*b$

aa_(8) := df(x7,t) + x7*d$

aa_(9) := 4*df(x8,t) - 4*x7*ktl + 3*x8*b$

MODEL NOT ALGEBRAICALLY OBSERVABLE$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S) VECTOR$

b2_ := {d=63,b=41,ktl=38}$

EXHAUSTIVE SUMMARY $

flist_ := {d - 63}$

MODEL PARAMETER SOLUTION(S)$

 G_:=GROESOLVE(FLIST_,B1_) $

g_ := {{d=63}}$

MODEL NON IDENTIFIABLE$

IDENTIFIABILITY WITH THE KNOWN INITIAL CONDITION(S)$

bi_ := {x1,y1,y1,y1,y1,y1,y1,y1}$

aai_(2) :=  - x2 + y1$

ic1_ := {}$

BBBI_ INCLUDES THE BB_ ENTRIES CALCULATED AT T=0$

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

UNKNOWN PARAMETER(S) VECTOR$

b1i_ := {d,b,ktl,y1_0}$

EXHAUSTIVE SUMMARY EVALUATED AT TIME T=0 $

bbi_ := {x1d10,x10}$

flisty_ := {63*x10 + x1d10}$

 GY_:=GROESOLVE(FLISTY_,BBI_)$

gy_ := {{x10=( - x1d10)/63}}$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S ) VECTOR$

b2i_ := {d=63,b=41,ktl=38,y1_0=35}$

EXHAUSTIVE SUMMARY$

flist1i_ := {d - 63, - x2 + y1_0}$

GI_=GROESOLVE(FLIST1I_,B1I_)  $

gi_ := {{y1_0=x2,d=63}}$

MODEL NON IDENTIFIABLE$
Elapsed time for TransfectionMultiEx: 1.0178872 seconds
