
HighDimNonLin

seed_ := 25$

NUMBER OF EQUATIONS$

n_ := 40$

VARIABLES VECTOR$

b_ := {x1,
x2,
x3,
x4,
x5,
x6,
x7,
x8,
x9,
x10,
x11,
x12,
x13,
x14,
x15,
x16,
x17,
x18,
x19,
x20,
y1,
y2,
y3,
y4,
y5,
y6,
y7,
y8,
y9,
y10,
y11,
y12,
y13,
y14,
y15,
y16,
y17,
y18,
y19,
y20}$

UNKNOWN PARAMETER(S) VECTOR$

b1_ := {vm,
km,
p1,
p2,
p3,
p4,
p5,
p6,
p7,
p8,
p9,
p10,
p11,
p12,
p13,
p14,
p15,
p16,
p17,
p18,
p19,
p20}$

RANKING AMONG THE VARIABLES$

bb_ := {x1,
x2,
x3,
x4,
x5,
x6,
x7,
x8,
x9,
x10,
x11,
x12,
x13,
x14,
x15,
x16,
x17,
x18,
x19,
x20,
df(x1,t),
df(x2,t),
df(x3,t),
df(x4,t),
df(x5,t),
df(x6,t),
df(x7,t),
df(x8,t),
df(x9,t),
df(x10,t),
df(x11,t),
df(x12,t),
df(x13,t),
df(x14,t),
df(x15,t),
df(x16,t),
df(x17,t),
df(x18,t),
df(x19,t),
df(x20,t),
df(x1,t,2),
df(x2,t,2),
df(x3,t,2),
df(x4,t,2),
df(x5,t,2),
df(x6,t,2),
df(x7,t,2),
df(x8,t,2),
df(x9,t,2),
df(x10,t,2),
df(x11,t,2),
df(x12,t,2),
df(x13,t,2),
df(x14,t,2),
df(x15,t,2),
df(x16,t,2),
df(x17,t,2),
df(x18,t,2),
df(x19,t,2),
df(x20,t,2),
df(x1,t,3),
df(x2,t,3),
df(x3,t,3),
df(x4,t,3),
df(x5,t,3),
df(x6,t,3),
df(x7,t,3),
df(x8,t,3),
df(x9,t,3),
df(x10,t,3),
df(x11,t,3),
df(x12,t,3),
df(x13,t,3),
df(x14,t,3),
df(x15,t,3),
df(x16,t,3),
df(x17,t,3),
df(x18,t,3),
df(x19,t,3),
df(x20,t,3),
df(x1,t,4),
df(x2,t,4),
df(x3,t,4),
df(x4,t,4),
df(x5,t,4),
df(x6,t,4),
df(x7,t,4),
df(x8,t,4),
df(x9,t,4),
df(x10,t,4),
df(x11,t,4),
df(x12,t,4),
df(x13,t,4),
df(x14,t,4),
df(x15,t,4),
df(x16,t,4),
df(x17,t,4),
df(x18,t,4),
df(x19,t,4),
df(x20,t,4),
df(x1,t,5),
df(x2,t,5),
df(x3,t,5),
df(x4,t,5),
df(x5,t,5),
df(x6,t,5),
df(x7,t,5),
df(x8,t,5),
df(x9,t,5),
df(x10,t,5),
df(x11,t,5),
df(x12,t,5),
df(x13,t,5),
df(x14,t,5),
df(x15,t,5),
df(x16,t,5),
df(x17,t,5),
df(x18,t,5),
df(x19,t,5),
df(x20,t,5),
df(x1,t,6),
df(x2,t,6),
df(x3,t,6),
df(x4,t,6),
df(x5,t,6),
df(x6,t,6),
df(x7,t,6),
df(x8,t,6),
df(x9,t,6),
df(x10,t,6),
df(x11,t,6),
df(x12,t,6),
df(x13,t,6),
df(x14,t,6),
df(x15,t,6),
df(x16,t,6),
df(x17,t,6),
df(x18,t,6),
df(x19,t,6),
df(x20,t,6),
df(x1,t,7),
df(x2,t,7),
df(x3,t,7),
df(x4,t,7),
df(x5,t,7),
df(x6,t,7),
df(x7,t,7),
df(x8,t,7),
df(x9,t,7),
df(x10,t,7),
df(x11,t,7),
df(x12,t,7),
df(x13,t,7),
df(x14,t,7),
df(x15,t,7),
df(x16,t,7),
df(x17,t,7),
df(x18,t,7),
df(x19,t,7),
df(x20,t,7),
df(x1,t,8),
df(x2,t,8),
df(x3,t,8),
df(x4,t,8),
df(x5,t,8),
df(x6,t,8),
df(x7,t,8),
df(x8,t,8),
df(x9,t,8),
df(x10,t,8),
df(x11,t,8),
df(x12,t,8),
df(x13,t,8),
df(x14,t,8),
df(x15,t,8),
df(x16,t,8),
df(x17,t,8),
df(x18,t,8),
df(x19,t,8),
df(x20,t,8),
df(x1,t,9),
df(x2,t,9),
df(x3,t,9),
df(x4,t,9),
df(x5,t,9),
df(x6,t,9),
df(x7,t,9),
df(x8,t,9),
df(x9,t,9),
df(x10,t,9),
df(x11,t,9),
df(x12,t,9),
df(x13,t,9),
df(x14,t,9),
df(x15,t,9),
df(x16,t,9),
df(x17,t,9),
df(x18,t,9),
df(x19,t,9),
df(x20,t,9),
df(x1,t,10),
df(x2,t,10),
df(x3,t,10),
df(x4,t,10),
df(x5,t,10),
df(x6,t,10),
df(x7,t,10),
df(x8,t,10),
df(x9,t,10),
df(x10,t,10),
df(x11,t,10),
df(x12,t,10),
df(x13,t,10),
df(x14,t,10),
df(x15,t,10),
df(x16,t,10),
df(x17,t,10),
df(x18,t,10),
df(x19,t,10),
df(x20,t,10),
df(x1,t,11),
df(x2,t,11),
df(x3,t,11),
df(x4,t,11),
df(x5,t,11),
df(x6,t,11),
df(x7,t,11),
df(x8,t,11),
df(x9,t,11),
df(x10,t,11),
df(x11,t,11),
df(x12,t,11),
df(x13,t,11),
df(x14,t,11),
df(x15,t,11),
df(x16,t,11),
df(x17,t,11),
df(x18,t,11),
df(x19,t,11),
df(x20,t,11),
df(x1,t,12),
df(x2,t,12),
df(x3,t,12),
df(x4,t,12),
df(x5,t,12),
df(x6,t,12),
df(x7,t,12),
df(x8,t,12),
df(x9,t,12),
df(x10,t,12),
df(x11,t,12),
df(x12,t,12),
df(x13,t,12),
df(x14,t,12),
df(x15,t,12),
df(x16,t,12),
df(x17,t,12),
df(x18,t,12),
df(x19,t,12),
df(x20,t,12),
df(x1,t,13),
df(x2,t,13),
df(x3,t,13),
df(x4,t,13),
df(x5,t,13),
df(x6,t,13),
df(x7,t,13),
df(x8,t,13),
df(x9,t,13),
df(x10,t,13),
df(x11,t,13),
df(x12,t,13),
df(x13,t,13),
df(x14,t,13),
df(x15,t,13),
df(x16,t,13),
df(x17,t,13),
df(x18,t,13),
df(x19,t,13),
df(x20,t,13),
df(x1,t,14),
df(x2,t,14),
df(x3,t,14),
df(x4,t,14),
df(x5,t,14),
df(x6,t,14),
df(x7,t,14),
df(x8,t,14),
df(x9,t,14),
df(x10,t,14),
df(x11,t,14),
df(x12,t,14),
df(x13,t,14),
df(x14,t,14),
df(x15,t,14),
df(x16,t,14),
df(x17,t,14),
df(x18,t,14),
df(x19,t,14),
df(x20,t,14),
df(x1,t,15),
df(x2,t,15),
df(x3,t,15),
df(x4,t,15),
df(x5,t,15),
df(x6,t,15),
df(x7,t,15),
df(x8,t,15),
df(x9,t,15),
df(x10,t,15),
df(x11,t,15),
df(x12,t,15),
df(x13,t,15),
df(x14,t,15),
df(x15,t,15),
df(x16,t,15),
df(x17,t,15),
df(x18,t,15),
df(x19,t,15),
df(x20,t,15),
df(x1,t,16),
df(x2,t,16),
df(x3,t,16),
df(x4,t,16),
df(x5,t,16),
df(x6,t,16),
df(x7,t,16),
df(x8,t,16),
df(x9,t,16),
df(x10,t,16),
df(x11,t,16),
df(x12,t,16),
df(x13,t,16),
df(x14,t,16),
df(x15,t,16),
df(x16,t,16),
df(x17,t,16),
df(x18,t,16),
df(x19,t,16),
df(x20,t,16),
df(x1,t,17),
df(x2,t,17),
df(x3,t,17),
df(x4,t,17),
df(x5,t,17),
df(x6,t,17),
df(x7,t,17),
df(x8,t,17),
df(x9,t,17),
df(x10,t,17),
df(x11,t,17),
df(x12,t,17),
df(x13,t,17),
df(x14,t,17),
df(x15,t,17),
df(x16,t,17),
df(x17,t,17),
df(x18,t,17),
df(x19,t,17),
df(x20,t,17),
df(x1,t,18),
df(x2,t,18),
df(x3,t,18),
df(x4,t,18),
df(x5,t,18),
df(x6,t,18),
df(x7,t,18),
df(x8,t,18),
df(x9,t,18),
df(x10,t,18),
df(x11,t,18),
df(x12,t,18),
df(x13,t,18),
df(x14,t,18),
df(x15,t,18),
df(x16,t,18),
df(x17,t,18),
df(x18,t,18),
df(x19,t,18),
df(x20,t,18),
df(x1,t,19),
df(x2,t,19),
df(x3,t,19),
df(x4,t,19),
df(x5,t,19),
df(x6,t,19),
df(x7,t,19),
df(x8,t,19),
df(x9,t,19),
df(x10,t,19),
df(x11,t,19),
df(x12,t,19),
df(x13,t,19),
df(x14,t,19),
df(x15,t,19),
df(x16,t,19),
df(x17,t,19),
df(x18,t,19),
df(x19,t,19),
df(x20,t,19),
df(x1,t,20),
df(x2,t,20),
df(x3,t,20),
df(x4,t,20),
df(x5,t,20),
df(x6,t,20),
df(x7,t,20),
df(x8,t,20),
df(x9,t,20),
df(x10,t,20),
df(x11,t,20),
df(x12,t,20),
df(x13,t,20),
df(x14,t,20),
df(x15,t,20),
df(x16,t,20),
df(x17,t,20),
df(x18,t,20),
df(x19,t,20),
df(x20,t,20),
y1,
y2,
y3,
y4,
y5,
y6,
y7,
y8,
y9,
y10,
y11,
y12,
y13,
y14,
y15,
y16,
y17,
y18,
y19,
y20,
df(y1,t),
df(y2,t),
df(y3,t),
df(y4,t),
df(y5,t),
df(y6,t),
df(y7,t),
df(y8,t),
df(y9,t),
df(y10,t),
df(y11,t),
df(y12,t),
df(y13,t),
df(y14,t),
df(y15,t),
df(y16,t),
df(y17,t),
df(y18,t),
df(y19,t),
df(y20,t)}$

NUMBER OF INPUT(S)$

nu_ := 0$

NUMBER OF OUTPUT(S)$

ny_ := 20$

NUMBER OF STATE(S) $

nx_ := 20$

MODEL EQUATION(S)$

c_ := {df(x1,t)=( - (p1*x1 + vm)*x1 - km*p1*x1)/(km + x1),
df(x2,t)=p1*x1 - p2*x2,
df(x3,t)=p2*x2 - p3*x3,
df(x4,t)=p3*x3 - p4*x4,
df(x5,t)=p4*x4 - p5*x5,
df(x6,t)=p5*x5 - p6*x6,
df(x7,t)=p6*x6 - p7*x7,
df(x8,t)=p7*x7 - p8*x8,
df(x9,t)=p8*x8 - p9*x9,
df(x10,t)= - p10*x10 + p9*x9,
df(x11,t)=p10*x10 - p11*x11,
df(x12,t)=p11*x11 - p12*x12,
df(x13,t)=p12*x12 - p13*x13,
df(x14,t)=p13*x13 - p14*x14,
df(x15,t)=p14*x14 - p15*x15,
df(x16,t)=p15*x15 - p16*x16,
df(x17,t)=p16*x16 - p17*x17,
df(x18,t)=p17*x17 - p18*x18,
df(x19,t)=p18*x18 - p19*x19,
df(x20,t)=p19*x19 - p20*x20,
x1=y1,
x2=y2,
x3=y3,
x4=y4,
x5=y5,
x6=y6,
x7=y7,
x8=y8,
x9=y9,
x10=y10,
x11=y11,
x12=y12,
x13=y13,
x14=y14,
x15=y15,
x16=y16,
x17=y17,
x18=y18,
x19=y19,
x20=y20}$

CHARACTERISTIC SET$

aa_(1) := df(x1,t)*x1 + df(x1,t)*km + x1**2*p1 + x1*(km*p1 + vm)$

aa_(2) := df(x2,t) - x1*p1 + x2*p2$

aa_(3) := df(x3,t) - x2*p2 + x3*p3$

aa_(4) := df(x4,t) - x3*p3 + x4*p4$

aa_(5) := df(x5,t) - x4*p4 + x5*p5$

aa_(6) := df(x6,t) - x5*p5 + x6*p6$

aa_(7) := df(x7,t) - x6*p6 + x7*p7$

aa_(8) := df(x8,t) - x7*p7 + x8*p8$

aa_(9) := df(x9,t) - x8*p8 + x9*p9$

aa_(10) := df(x10,t) + x10*p10 - x9*p9$

aa_(11) := df(x11,t) - x10*p10 + x11*p11$

aa_(12) := df(x12,t) - x11*p11 + x12*p12$

aa_(13) := df(x13,t) - x12*p12 + x13*p13$

aa_(14) := df(x14,t) - x13*p13 + x14*p14$

aa_(15) := df(x15,t) - x14*p14 + x15*p15$

aa_(16) := df(x16,t) - x15*p15 + x16*p16$

aa_(17) := df(x17,t) - x16*p16 + x17*p17$

aa_(18) := df(x18,t) - x17*p17 + x18*p18$

aa_(19) := df(x19,t) - x18*p18 + x19*p19$

aa_(20) := df(x20,t) - x19*p19 + x20*p20$

aa_(21) := x1 - y1$

aa_(22) := x2 - y2$

aa_(23) := x3 - y3$

aa_(24) := x4 - y4$

aa_(25) := x5 - y5$

aa_(26) := x6 - y6$

aa_(27) := x7 - y7$

aa_(28) := x8 - y8$

aa_(29) := x9 - y9$

aa_(30) := x10 - y10$

aa_(31) := x11 - y11$

aa_(32) := x12 - y12$

aa_(33) := x13 - y13$

aa_(34) := x14 - y14$

aa_(35) := x15 - y15$

aa_(36) := x16 - y16$

aa_(37) := x17 - y17$

aa_(38) := x18 - y18$

aa_(39) := x19 - y19$

aa_(40) := x20 - y20$

MODEL ALGEBRAICALLY OBSERVABLE$

RANDOMLY CHOSEN NUMERICAL PARAMETER(S) VECTOR$

b2_ := {vm=8,
km=16,
p1=3,
p2=20,
p3=17,
p4=13,
p5=5,
p6=10,
p7=24,
p8=22,
p9=15,
p10=2,
p11=12,
p12=18,
p13=11,
p14=4,
p15=6,
p16=14,
p17=23,
p18=19,
p19=21,
p20=9}$

EXHAUSTIVE SUMMARY $

flist_ := {km - 16,
p1 - 3,
 - p1 + 3,
p2 - 20,
 - p2 + 20,
p3 - 17,
 - p3 + 17,
p4 - 13,
 - p4 + 13,
p5 - 5,
 - p5 + 5,
p6 - 10,
 - p6 + 10,
p7 - 24,
 - p7 + 24,
p8 - 22,
 - p8 + 22,
p9 - 15,
p10 - 2,
 - p9 + 15,
 - p10 + 2,
p11 - 12,
 - p11 + 12,
p12 - 18,
 - p12 + 18,
p13 - 11,
 - p13 + 11,
p14 - 4,
 - p14 + 4,
p15 - 6,
 - p15 + 6,
p16 - 14,
 - p16 + 14,
p17 - 23,
 - p17 + 23,
p18 - 19,
 - p18 + 19,
p19 - 21,
 - p19 + 21,
p20 - 9,
km*p1 + vm - 56}$

MODEL PARAMETER SOLUTION(S)$

 G_:=GROESOLVE(FLIST_,B1_) $

g_ := {{p20=9,
vm=8,
km=16,
p10=2,
p11=12,
p12=18,
p13=11,
p14=4,
p15=6,
p16=14,
p17=23,
p18=19,
p19=21,
p2=20,
p3=17,
p4=13,
p5=5,
p6=10,
p7=24,
p8=22,
p9=15,
p1=3}}$

MODEL GLOBALLY IDENTIFIABLE$

INITIAL CONDITION(S)  NOT NECESSARY$
Elapsed time for HighDimNonLin: 58.0221589 seconds
