(* 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 = {
atp[t], fbp[t], phos[t]
};

initialValues = {
atp[0] == 1.0, fbp[0] == 2.0, phos[0] == 10.0
};

rates = {
v1, v2, v3, v4, v5
};

rateEquations = {
v1 -> (VMAXPFK*atp[t])/(KMPFKATP + atp[t]*(1 + atp[t]/KiPFKATP)), v2 -> (VMAXLG*(atot - atp[t])*fbp[t]*phos[t])/(KMLGADP*KMLGP*(1 + (atot - atp[t])/KMLGADP)*(KMLGF16P + fbp[t])*(1 + phos[t]/KMLGP)), v3 -> KATPASE*atp[t], v4 -> k6*(pT - phos[t]), v5 -> (VMAXGLYC*fbp[t])/(KMLGF16P + fbp[t])
};

parameters = {
KATPASE -> 10.0, KMLGADP -> 0.1, KMLGF16P -> 1.0, KMLGP -> 2.0, KMPFKATP -> 0.1, KiPFKATP -> 3.0, VMAXGLYC -> 0.0, VMAXLG -> 10.0, VMAXPFK -> 10.0, atot -> 5.0, k6 -> 0.3, pT -> 10.0, EtOH -> 0.0, Glycerol -> 0.0, PiVac -> 0.0, g6p -> 0.0, compartment -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

units = {
{"time" -> "", "metabolite" -> "", "extent" -> ""}
};

(* Time evolution *)
odes = {
atp'[t] == 4.0*v2 -2.0*v1 -1.0*v3, fbp'[t] == 1.0*v1 -1.0*v2 -1.0*v5, phos'[t] == 1.0*v3 +1.0*v4 +2.0*v5 -2.0*v2
};
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]}]