(* 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 = {
c[t]
};

initialValues = {
c[0] == 0.0
};

rates = {
reaction\[LetterSpace]1, reaction\[LetterSpace]2, reaction\[LetterSpace]3, reaction\[LetterSpace]4
};

rateEquations = {
reaction\[LetterSpace]1 -> reaction\[LetterSpace]1\[LetterSpace]alpha, reaction\[LetterSpace]2 -> c[t]/(reaction\[LetterSpace]2\[LetterSpace]kappa + c[t]), reaction\[LetterSpace]3 -> reaction\[LetterSpace]3\[LetterSpace]kd*c[t], reaction\[LetterSpace]4 -> (reaction\[LetterSpace]4\[LetterSpace]phi*c[t])/(reaction\[LetterSpace]4\[LetterSpace]delta + reaction\[LetterSpace]4\[LetterSpace]gamma*c[t])
};

parameters = {
reaction\[LetterSpace]1\[LetterSpace]alpha -> 0.001, reaction\[LetterSpace]3\[LetterSpace]kd -> 1.0, reaction\[LetterSpace]2\[LetterSpace]kappa -> 0.5, reaction\[LetterSpace]4\[LetterSpace]phi -> 5*^-06, reaction\[LetterSpace]4\[LetterSpace]delta -> 1*^-05, reaction\[LetterSpace]4\[LetterSpace]gamma -> 1*^-05, cell -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
c'[t] == 1.0*reaction\[LetterSpace]1 +1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]4
};
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]}]