(* 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 = {
Biom[t], Sext[t], Sint[t], Xint[t]
};

initialValues = {
Biom[0] == 0.03, Sext[0] == 0.0, Sint[0] == 0.0, Xint[0] == 0.0
};

rates = {
v\[LetterSpace]1, v\[LetterSpace]2, v\[LetterSpace]3, v\[LetterSpace]4, v\[LetterSpace]5, v\[LetterSpace]6
};

rateEquations = {
v\[LetterSpace]1 -> Dil*Sr, v\[LetterSpace]2 -> (Vm2*Biom[t]*Sext[t])/(K2S*(1 + Sext[t]/K2S + (10000.*Sint[t])/K2Sin)), v\[LetterSpace]3 -> Dil*Sext[t], v\[LetterSpace]4 -> (Vm4*Biom[t]*(10000.*Sint[t] - (10000.*Xint[t])/Keq4))/(K4Sint*(1 + (10000.*Sint[t])/K4Sint + (10000.*Xint[t])/K4X)), v\[LetterSpace]5 -> (10000.*Vm5*Biom[t]*Xint[t])/(K5X*(1 + (10000.*Xint[t])/K5X)), v\[LetterSpace]6 -> Dil*Biom[t]
};

parameters = {
Dil -> 0.1, K2S -> 0.1, K2Sin -> 0.1, K4Sint -> 1.0, K4X -> 1.0, K5X -> 2.0, Keq4 -> 100.0, Vm2 -> 9.0, Vm4 -> 10.0, Vm5 -> 0.52, Sr -> 20.0, p -> 0.0, default\[LetterSpace]compartment -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
Biom'[t] == 1.0*v\[LetterSpace]5 -1.0*v\[LetterSpace]6, Sext'[t] == 1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]2, Sint'[t] == 1.0*v\[LetterSpace]2 -1.0*v\[LetterSpace]4, Xint'[t] == 1.0*v\[LetterSpace]4 -1.0*v\[LetterSpace]5
};
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]}]