(* 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 = {
D[t], DR[t], DRG[t], DRG\[LetterSpace]GDP[t], DRG\[LetterSpace]GTP[t], GDP[t], GTP[t], G\[LetterSpace]GDP[t], G\[LetterSpace]GTP[t], R[t]
};

initialValues = {
D[0] == 3.1*^-05, DR[0] == 0.0, DRG[0] == 0.0, DRG\[LetterSpace]GDP[0] == 0.0, DRG\[LetterSpace]GTP[0] == 0.0, GDP[0] == 0.0, GTP[0] == 1*^-05, G\[LetterSpace]GDP[0] == 1*^-06, G\[LetterSpace]GTP[0] == 0.0, R[0] == 1*^-10
};

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

rateEquations = {
Reaction\[LetterSpace]1 -> cell*(-(Reaction\[LetterSpace]1\[LetterSpace]k7*DR[t]) + Reaction\[LetterSpace]1\[LetterSpace]k1*D[t]*R[t]), Reaction\[LetterSpace]2 -> cell*(-(Reaction\[LetterSpace]2\[LetterSpace]k8*DRG\[LetterSpace]GDP[t]) + Reaction\[LetterSpace]2\[LetterSpace]k2*DR[t]*G\[LetterSpace]GDP[t]), Reaction\[LetterSpace]3 -> cell*(Reaction\[LetterSpace]3\[LetterSpace]k3*DRG\[LetterSpace]GDP[t] - Reaction\[LetterSpace]3\[LetterSpace]k9*DRG[t]*GDP[t]), Reaction\[LetterSpace]4 -> cell*(-(Reaction\[LetterSpace]4\[LetterSpace]k10*DRG\[LetterSpace]GTP[t]) + Reaction\[LetterSpace]4\[LetterSpace]k4*DRG[t]*GTP[t]), Reaction\[LetterSpace]5 -> cell*Reaction\[LetterSpace]5\[LetterSpace]k5*DRG\[LetterSpace]GTP[t], Reaction\[LetterSpace]6 -> cell*Reaction\[LetterSpace]6\[LetterSpace]k6*G\[LetterSpace]GTP[t]
};

parameters = {
Reaction\[LetterSpace]1\[LetterSpace]k1 -> 5000000.0, Reaction\[LetterSpace]1\[LetterSpace]k7 -> 10.0, Reaction\[LetterSpace]2\[LetterSpace]k2 -> 100000000.0, Reaction\[LetterSpace]2\[LetterSpace]k8 -> 0.1, Reaction\[LetterSpace]3\[LetterSpace]k3 -> 5.0, Reaction\[LetterSpace]3\[LetterSpace]k9 -> 100000.0, Reaction\[LetterSpace]4\[LetterSpace]k4 -> 5000000.0, Reaction\[LetterSpace]4\[LetterSpace]k10 -> 55.0, Reaction\[LetterSpace]5\[LetterSpace]k5 -> 1.0, Reaction\[LetterSpace]6\[LetterSpace]k6 -> 2.0, cell -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {
D[t]->"http://identifiers.org/chebi/CHEBI:35569", GDP[t]->"http://identifiers.org/chebi/CHEBI:17552", GTP[t]->"http://identifiers.org/chebi/CHEBI:15996"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
D'[t] ==  -1.0*Reaction\[LetterSpace]1, DR'[t] == 1.0*Reaction\[LetterSpace]1 +1.0*Reaction\[LetterSpace]5 -1.0*Reaction\[LetterSpace]2, DRG'[t] == 1.0*Reaction\[LetterSpace]3 -1.0*Reaction\[LetterSpace]4, DRG\[LetterSpace]GDP'[t] == 1.0*Reaction\[LetterSpace]2 -1.0*Reaction\[LetterSpace]3, DRG\[LetterSpace]GTP'[t] == 1.0*Reaction\[LetterSpace]4 -1.0*Reaction\[LetterSpace]5, GDP'[t] == 1.0*Reaction\[LetterSpace]3 , GTP'[t] ==  -1.0*Reaction\[LetterSpace]4, G\[LetterSpace]GDP'[t] == 1.0*Reaction\[LetterSpace]6 -1.0*Reaction\[LetterSpace]2, G\[LetterSpace]GTP'[t] == 1.0*Reaction\[LetterSpace]5 -1.0*Reaction\[LetterSpace]6, R'[t] ==  -1.0*Reaction\[LetterSpace]1
};
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]}]