(* 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 = {
Epo[t], EpoR[t], Epo\[LetterSpace]EpoR[t], Epo\[LetterSpace]EpoRi[t], dEpoe[t], dEpoi[t]
};

initialValues = {
Epo[0] == 2030.19, EpoR[0] == 516.0, Epo\[LetterSpace]EpoR[0] == 0.0, Epo\[LetterSpace]EpoRi[0] == 0.0, dEpoe[0] == 0.0, dEpoi[0] == 0.0
};

rates = {
reaction\[LetterSpace]1, reaction\[LetterSpace]2, reaction\[LetterSpace]3, reaction\[LetterSpace]4, reaction\[LetterSpace]5, reaction\[LetterSpace]6, reaction\[LetterSpace]7, reaction\[LetterSpace]8
};

rateEquations = {
reaction\[LetterSpace]1 -> Bmax*cell*kt, reaction\[LetterSpace]2 -> cell*kt*EpoR[t], reaction\[LetterSpace]3 -> cell*kon*Epo[t]*EpoR[t], reaction\[LetterSpace]4 -> cell*koff*Epo\[LetterSpace]EpoR[t], reaction\[LetterSpace]5 -> cell*ke*Epo\[LetterSpace]EpoR[t], reaction\[LetterSpace]6 -> cell*kex*Epo\[LetterSpace]EpoRi[t], reaction\[LetterSpace]7 -> cell*kdi*Epo\[LetterSpace]EpoRi[t], reaction\[LetterSpace]8 -> cell*kde*Epo\[LetterSpace]EpoRi[t]
};

parameters = {
Bmax -> 516.0, kde -> 0.0164042, kdi -> 0.00317871, ke -> 0.0748267, kex -> 0.00993805, koff -> 0.0172135, kon -> 0.00010496, kt -> 0.0329366, cell -> 1.0, cellsurface -> 1.0, medium -> 1.0
};

assignments = {
Epo\[LetterSpace]cells -> dEpoi[t] + Epo\[LetterSpace]EpoRi[t], Epo\[LetterSpace]medium -> dEpoe[t] + Epo[t]
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
Epo'[t] == 1.0*reaction\[LetterSpace]4 +1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]3, EpoR'[t] == 1.0*reaction\[LetterSpace]1 +1.0*reaction\[LetterSpace]4 +1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]3, Epo\[LetterSpace]EpoR'[t] == 1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]5, Epo\[LetterSpace]EpoRi'[t] == 1.0*reaction\[LetterSpace]5 -1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]8, dEpoe'[t] == 1.0*reaction\[LetterSpace]8 , dEpoi'[t] == 1.0*reaction\[LetterSpace]7 
};
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]}]