(* 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 = {
u[t], z[t]
};

initialValues = {
u[0] == 0.0, z[0] == 0.0
};

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

rateEquations = {
v\[LetterSpace]1 -> kappa, v\[LetterSpace]2 -> k6*u[t], v\[LetterSpace]3 -> k4*(k4prime/k4 + u[t]^2)*z[t]
};

parameters = {
k4 -> 180.0, k4prime -> 0.018, k6 -> 1.0, kappa -> 0.015, p -> 1.0, s -> 1.0, default\[LetterSpace]compartment -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
u'[t] == 1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]2, z'[t] == 1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]3
};
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]}]