(* Generated by JWS Online *) (* This is an experimental feature of JWS Online. Please report any mistakes.*) (* Note that the following notable SBML entities or features are not supported in notebook outputyet: *) (* Events *) (* Constraints *) (* Units and UnitDefinitions *) (* AlgebraicRules *) (* conversionFactors *) variables = { Cdc20A[t], Cdc20T[t], Cdh1[t], CycBT[t], IEP[t], SK[t], m[t] }; initialValues = { Cdc20A[0] == 0.001, Cdc20T[0] == 0.001, Cdh1[0] == 0.001, CycBT[0] == 0.001, IEP[0] == 0.001, SK[0] == 0.001, m[0] == 0.5 }; rates = { v\[LetterSpace]1, v\[LetterSpace]10, v\[LetterSpace]11, v\[LetterSpace]12, v\[LetterSpace]13, v\[LetterSpace]14, v\[LetterSpace]2, v\[LetterSpace]3, v\[LetterSpace]4, v\[LetterSpace]5, v\[LetterSpace]6, v\[LetterSpace]7, v\[LetterSpace]8, v\[LetterSpace]9 }; rateEquations = { v\[LetterSpace]1 -> k1 + k0*SK[t], v\[LetterSpace]10 -> CycB*k9*(1 - IEP[t])*m[t], v\[LetterSpace]11 -> k10*IEP[t], v\[LetterSpace]12 -> 0.005*(1 - m[t]/10)*m[t], v\[LetterSpace]13 -> TF + k0*SK[t], v\[LetterSpace]14 -> SK[t], v\[LetterSpace]2 -> (k21 + Cdc20A[t] + k22*Cdh1[t])*CycBT[t], v\[LetterSpace]3 -> ((k31 + k32*Cdc20A[t])*(1 - Cdh1[t]))/(1 + J3 - Cdh1[t]), v\[LetterSpace]4 -> (Cdh1[t]*(CycB*k4*m[t] + 2*SK[t]))/(J4 + Cdh1[t]), v\[LetterSpace]5 -> k51 + (k52*((CycB*m[t])/J5)^n)/(1 + ((CycB*m[t])/J5)^n), v\[LetterSpace]6 -> k6*(-Cdc20A[t] + Cdc20T[t]), v\[LetterSpace]7 -> (k7*(-Cdc20A[t] + Cdc20T[t])*IEP[t])/(J7 - Cdc20A[t] + Cdc20T[t]), v\[LetterSpace]8 -> (k8*MAD*Cdc20A[t])/(J8 + Cdc20A[t]), v\[LetterSpace]9 -> k6*Cdc20A[t] }; parameters = { J3 -> 0.04, J4 -> 0.04, J5 -> 0.3, J7 -> 0.001, J8 -> 0.001, MAD -> 1.0, k0 -> 0.0, k1 -> 0.04, k10 -> 0.02, k21 -> 0.04, k22 -> 1.0, k31 -> 1.0, k32 -> 10.0, k4 -> 35.0, k51 -> 0.005, k52 -> 0.2, k6 -> 0.1, k7 -> 1.0, k8 -> 0.5, k9 -> 0.1, mu -> 0.01, n -> 4.0, ext -> 0.0, default\[LetterSpace]compartment -> 1.0 }; assignments = { GK[a_,b_,c_,d_] -> (2*a*d)/(-a + b + b*c + a*d + (-4*a*(-a + b)*d + (-a + b + b*c + a*d)^2)^0.5), CycB -> CycBT[t], TF -> GK[1.5*m[t] + 0.05*SK[t], 1 + 3*CycB*m[t], 0.01, 0.01] }; events = { }; speciesAnnotations = { }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { Cdc20A'[t] == 1.0*v\[LetterSpace]7 -1.0*v\[LetterSpace]8 -1.0*v\[LetterSpace]9, Cdc20T'[t] == 1.0*v\[LetterSpace]5 -1.0*v\[LetterSpace]9 -1.0*v\[LetterSpace]6, Cdh1'[t] == 1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]4, CycBT'[t] == 1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]2, IEP'[t] == 1.0*v\[LetterSpace]10 -1.0*v\[LetterSpace]11, SK'[t] == 1.0*v\[LetterSpace]13 -1.0*v\[LetterSpace]14, m'[t] == 1.0*v\[LetterSpace]12 }; timeCourse = NDSolve[Join[odes, initialValues]//.rateEquations//.assignments//.parameters, variables, {t, 0, 100}]; (* Steady-state solution initialized with result of time evolution *) findRootEquations = odes /.D[_[t],t]->0; findRootVariables = Partition[Flatten[{#, #/.timeCourse/.t->100} &/@variables],2]; steadyStateVariables = FindRoot[findRootEquations//.rateEquations//.assignments//.parameters, findRootVariables, MaxIterations->100] fluxes = #//.assignments//.parameters/.steadyStateVariables&/@rateEquations (* Plot the time evolution of the variables *) plotTable=Table[Plot[variables[[i]]/.parameters/.timeCourse,{t,0,100},PlotLegends->variables[[i]],PlotRange->Full],{i,Length[variables]}]