(* 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 = {
EI[t], EIIA[t], EIIAP[t], EIIAPIICB[t], EIICB[t], EIICBP[t], EIICBPGlc[t], EIP[t], EIPHPr[t], HPr[t], HPrP[t], HPrPIIA[t], PyrPI[t]
};

initialValues = {
EI[0] == 3.0, EIIA[0] == 20.0, EIIAP[0] == 20.0, EIIAPIICB[0] == 0.0, EIICB[0] == 5.0, EIICBP[0] == 5.0, EIICBPGlc[0] == 0.0, EIP[0] == 2.0, EIPHPr[0] == 0.0, HPr[0] == 25.0, HPrP[0] == 25.0, HPrPIIA[0] == 0.0, PyrPI[0] == 0.0
};

rates = {
v\[LetterSpace]1, v\[LetterSpace]10, 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 -> k1f*PEP*EI[t] - k1r*PyrPI[t], v\[LetterSpace]10 -> -(GlcP*k10r*EIICB[t]) + k10f*EIICBPGlc[t], v\[LetterSpace]2 -> -(k2r*Pyr*EIP[t]) + k2f*PyrPI[t], v\[LetterSpace]3 -> -(k3r*EIPHPr[t]) + k3f*EIP[t]*HPr[t], v\[LetterSpace]4 -> k4f*EIPHPr[t] - k4r*EI[t]*HPrP[t], v\[LetterSpace]5 -> k5f*EIIA[t]*HPrP[t] - k5r*HPrPIIA[t], v\[LetterSpace]6 -> -(k6r*EIIAP[t]*HPr[t]) + k6f*HPrPIIA[t], v\[LetterSpace]7 -> -(k7r*EIIAPIICB[t]) + k7f*EIIAP[t]*EIICB[t], v\[LetterSpace]8 -> k8f*EIIAPIICB[t] - k8r*EIIA[t]*EIICBP[t], v\[LetterSpace]9 -> Glc*k9f*EIICBP[t] - k9r*EIICBPGlc[t]
};

parameters = {
k10f -> 4800.0, k10r -> 0.0054, k1f -> 1960.0, k1r -> 480000.0, k2f -> 108000.0, k2r -> 294.0, k3f -> 14000.0, k3r -> 14000.0, k4f -> 84000.0, k4r -> 3360.0, k5f -> 21960.0, k5r -> 21960.0, k6f -> 4392.0, k6r -> 3384.0, k7f -> 880.0, k7r -> 880.0, k8f -> 2640.0, k8r -> 960.0, k9f -> 260.0, k9r -> 389.0, Glc -> 500.0, GlcP -> 50.0, PEP -> 2800.0, Pyr -> 900.0, default\[LetterSpace]compartment -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

units = {
{"time" -> "min", "metabolite" -> "uM/<compartment size units>", "extent" -> "uM"}
};

(* Time evolution *)
odes = {
EI'[t] == 1.0*v\[LetterSpace]4 -1.0*v\[LetterSpace]1, EIIA'[t] == 1.0*v\[LetterSpace]8 -1.0*v\[LetterSpace]5, EIIAP'[t] == 1.0*v\[LetterSpace]6 -1.0*v\[LetterSpace]7, EIIAPIICB'[t] == 1.0*v\[LetterSpace]7 -1.0*v\[LetterSpace]8, EIICB'[t] == 1.0*v\[LetterSpace]10 -1.0*v\[LetterSpace]7, EIICBP'[t] == 1.0*v\[LetterSpace]8 -1.0*v\[LetterSpace]9, EIICBPGlc'[t] == 1.0*v\[LetterSpace]9 -1.0*v\[LetterSpace]10, EIP'[t] == 1.0*v\[LetterSpace]2 -1.0*v\[LetterSpace]3, EIPHPr'[t] == 1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]4, HPr'[t] == 1.0*v\[LetterSpace]6 -1.0*v\[LetterSpace]3, HPrP'[t] == 1.0*v\[LetterSpace]4 -1.0*v\[LetterSpace]5, HPrPIIA'[t] == 1.0*v\[LetterSpace]5 -1.0*v\[LetterSpace]6, PyrPI'[t] == 1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]2
};
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]}]