Structurally Identifiable Parameters & Parameter Combinations

All Solutions
Model may have been entered incorrectly or cannot be solved with COMBOS algorithms.
COMBOS Runtime = 0.17 seconds

Model Entered

dx[1](t)/dt = kprod-kdeg*x[1](t)-k1*x[1](t)*u[1](t)
dx[2](t)/dt = -k3*x[2](t)-kdeg*x[2](t)-a2*x[2](t)*x[10](t)+t1*x[4](t)-a3*x[2](t)*x[13](t)+t2*x[5](t)(k1*x[1](t)-k2*x[2](t)*x[8](t))*u[2](t)
dx[3](t)/dt = k3*x[2](t)-kdeg*x[3](t)k2*x[2](t)*x[8](t)*u[3](t)
dx[4](t)/dt = a2*x[2](t)*x[10](t)-t1*x[4](t)
dx[5](t)/dt = a3*x[2](t)*x[13](t)-t2*x[5](t)
dx[6](t)/dt = c6a*x[13](t)-a1*x[6](t)*x[10](t)+t2*x[5](t)-i1*x[6](t)
dx[7](t)/dt = i1*kv*x[6](t)-a1*x[11](t)*x[7](t)
dx[8](t)/dt = c4*x[9](t)-c5*x[8](t)
dx[9](t)/dt = c2+c1*x[7](t)-c3*x[9](t)
dx[10](t)/dt = -a2*x[2](t)*x[10](t)-a1*x[10](t)*x[6](t)+c4a*x[12](t)-c5a*x[10](t)-i1a*x[10](t)+e1a*x[11](t)
dx[11](t)/dt = -a1*x[11](t)*x[7](t)+i1a*kv*x[10](t)-e1a*kv*x[11](t)
dx[12](t)/dt = c2a+c1a*x[7](t)-c3a*x[12](t)
dx[13](t)/dt = a1*x[10](t)*x[6](t)-c6a*x[13](t)-a3*x[2](t)*x[13](t)+e2a*x[14](t)
dx[14](t)/dt = a1*x[11](t)*x[7](t)-e2a*kv*x[14](t)
dx[15](t)/dt = c2c+c1c*x[7](t)-c3c*x[15](t)
y[1](t) = x[7](t)
y[2](t) = x[10](t)+x[13](t)
y[3](t) = x[9](t)
y[4](t) = x[1](t)+x[2](t)+x[3](t)
y[5](t) = x[2](t)
y[6](t) = x[12](t)

Model in Copy/Paste Format

dx1/dt = kprod-kdeg*x1-k1*x1*u1; dx2/dt = -k3*x2-kdeg*x2-a2*x2*x10+t1*x4-a3*x2*x13+t2*x5(k1*x1-k2*x2*x8)*u2; dx3/dt = k3*x2-kdeg*x3k2*x2*x8*u3; dx4/dt = a2*x2*x10-t1*x4; dx5/dt = a3*x2*x13-t2*x5; dx6/dt = c6a*x13-a1*x6*x10+t2*x5-i1*x6; dx7/dt = i1*kv*x6-a1*x11*x7; dx8/dt = c4*x9-c5*x8; dx9/dt = c2+c1*x7-c3*x9; dx10/dt = -a2*x2*x10-a1*x10*x6+c4a*x12-c5a*x10-i1a*x10+e1a*x11; dx11/dt = -a1*x11*x7+i1a*kv*x10-e1a*kv*x11; dx12/dt = c2a+c1a*x7-c3a*x12; dx13/dt = a1*x10*x6-c6a*x13-a3*x2*x13+e2a*x14; dx14/dt = a1*x11*x7-e2a*kv*x14; dx15/dt = c2c+c1c*x7-c3c*x15; y1 = x7; y2 = x10+x13; y3 = x9; y4 = x1+x2+x3; y5 = x2; y6 = x12; 

Mapped Parameters

kprod
p1
kdeg
p2
k1
p3
k3
p4
a2
p5
a3
p6
k2
p7
c6a
p8
a1
p9
i1
p10
kv
p11
c4
p12
c5
p13
c2
p14
c1
p15
c3
p16
c4a
p17
c5a
p18
i1a
p19
e1a
p20
c2a
p21
c1a
p22
c3a
p23
e2a
p24
c2c
p25
c1c
p26
c3c
p27