(* 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 = {
R[t], X[t]
};

initialValues = {
R[0] == 0.0, X[0] == 0.0
};

rates = {
r0, r1, r2, r2\[LetterSpace]prime, r3, r4, r5, r6
};

rateEquations = {
r0 -> env*Ep*k0, r1 -> env*k1*S, r2 -> env*k2*R[t], r2\[LetterSpace]prime -> env*k2\[LetterSpace]prime*R[t]*X[t], r3 -> (E*env*k3*R[t])/(E + Km3), r4 -> (env*Ep*k4)/(Ep + Km4), r5 -> env*k5*R[t], r6 -> env*k6*X[t]
};

parameters = {
Et -> 1.0, J3 -> 0.3, J4 -> 0.3, k0 -> 4.0, k1 -> 1.0, k2 -> 1.0, k2\[LetterSpace]prime -> 1.0, k3 -> 1.0, k4 -> 1.0, k5 -> 0.1, k6 -> 0.075, S -> 0.0, env -> 1.0
};

assignments = {
goldbeter\[LetterSpace]koshland[v1_,v2_,J1_,J2_] -> (2*J2*v1)/(-v1 + J2*v1 + v2 + J1*v2 + Sqrt[-4*J2*v1*(-v1 + v2) + (-v1 + J2*v1 + v2 + J1*v2)^2]), Km3 -> Et*J3, Ep -> Et*goldbeter\[LetterSpace]koshland[k3*R[t], k4, J3, J4], E -> -Ep + Et, Km4 -> Et*J4
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
R'[t] == 1.0*r0 +1.0*r1 -1.0*r2 -1.0*r2\[LetterSpace]prime, X'[t] == 1.0*r5 -1.0*r6
};
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]}]