Structurally Identifiable Parameters & Parameter Combinations

All Solutions
Model may have been entered incorrectly or cannot be solved with COMBOS algorithms.
COMBOS Runtime = 35.63 seconds

Model Entered

dx[1](t)/dt = (x[2](t)*p5)/(p6+x[2](t))-(x[1](t)*p1)/(((x[8](t)/p2)^p3+1)*(p4+x[1](t)))
dx[2](t)/dt = (x[1](t)*p1)/(((x[8](t)/p2)^p3+1)*(p4+x[1](t)))-(x[2](t)*p5)/(p6+x[2](t))
dx[3](t)/dt = (x[4](t)*p13)/(p14+x[4](t))-(x[3](t)*x[2](t)*p7)/(p8+x[3](t))
dx[4](t)/dt = (x[5](t)*p11)/(p12+x[5](t))-(x[4](t)*p13)/(p14+x[4](t))+(x[3](t)*x[2](t)*p7)/(p8+x[3](t))-(x[4](t)*x[2](t)*p9)/(p10+x[4](t))
dx[5](t)/dt = (x[4](t)*x[2](t)*p9)/(p10+x[4](t))-(x[5](t)*p11)/(p12+x[5](t))
dx[6](t)/dt = (x[7](t)*p21)/(p22+x[7](t))-(x[6](t)*x[5](t)*p15)/(p16+x[6](t))
dx[7](t)/dt = (x[8](t)*p19)/(p20+x[8](t))-(x[7](t)*p21)/(p22+x[7](t))+(x[6](t)*x[5](t)*p15)/(p16+x[6](t))-(x[7](t)*x[5](t)*p17)/(p18+x[7](t))
dx[8](t)/dt = (x[7](t)*x[5](t)*p17)/(p18+x[7](t))-(x[8](t)*p19)/(p20+x[8](t))
y[1](t) = x[6](t)
x[1](0) = 90
x[2](0) = 10
x[3](0) = 280
x[4](0) = 10
x[5](0) = 10
x[6](0) = 280
x[7](0) = 10
x[8](0) = 10

Model in Copy/Paste Format

dx1/dt = (x2*p5)/(p6+x2)-(x1*p1)/(((x8/p2)^p3+1)*(p4+x1)); dx2/dt = (x1*p1)/(((x8/p2)^p3+1)*(p4+x1))-(x2*p5)/(p6+x2); dx3/dt = (x4*p13)/(p14+x4)-(x3*x2*p7)/(p8+x3); dx4/dt = (x5*p11)/(p12+x5)-(x4*p13)/(p14+x4)+(x3*x2*p7)/(p8+x3)-(x4*x2*p9)/(p10+x4); dx5/dt = (x4*x2*p9)/(p10+x4)-(x5*p11)/(p12+x5); dx6/dt = (x7*p21)/(p22+x7)-(x6*x5*p15)/(p16+x6); dx7/dt = (x8*p19)/(p20+x8)-(x7*p21)/(p22+x7)+(x6*x5*p15)/(p16+x6)-(x7*x5*p17)/(p18+x7); dx8/dt = (x7*x5*p17)/(p18+x7)-(x8*p19)/(p20+x8); y1 = x6; x1(0) = 90;x2(0) = 10;x3(0) = 280;x4(0) = 10;x5(0) = 10;x6(0) = 280;x7(0) = 10;x8(0) = 10;

Mapped Parameters

p5
p1
p6
p2
p1
p3
p2
p4
p3
p5
p4
p6
p13
p7
p14
p8
p7
p9
p8
p10
p11
p11
p12
p12
p9
p13
p10
p14
p21
p15
p22
p16
p15
p17
p16
p18
p19
p19
p20
p20
p17
p21
p18
p22