(* 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 = {
S1[t], S2[t], S3[t], S4[t], S5[t], S6[t]
};

initialValues = {
S1[0] == 0.0, S2[0] == 0.0, S3[0] == 0.0, S4[0] == 0.0, S5[0] == 0.0, S6[0] == 0.0
};

rates = {
re1, re2, re3, re4, re5, re6
};

rateEquations = {
re1 -> k1*S1[t]*S2[t], re2 -> k2*S3[t], re3 -> k3*S3[t], re4 -> k4*S4[t]*S5[t], re5 -> k5*S6[t], re6 -> k6*S6[t]
};

parameters = {
k1 -> 1.0, k2 -> 1.0, k3 -> 0.1, k4 -> 1.0, k5 -> 1.0, k6 -> 0.1, default -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
S1'[t] == 1.0*re2 +1.0*re3 -1.0*re1, S2'[t] == 1.0*re2 +1.0*re6 -1.0*re1, S3'[t] == 1.0*re1 -1.0*re2 -1.0*re3, S4'[t] == 1.0*re5 +1.0*re6 -1.0*re4, S5'[t] == 1.0*re3 +1.0*re5 -1.0*re4, S6'[t] == 1.0*re4 -1.0*re5 -1.0*re6
};
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]}]