(* 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 = {
E[t], P[t], Q[t], X[t]
};

initialValues = {
E[0] == 1.0, P[0] == 0.0, Q[0] == 0.0, X[0] == 8.0
};

rates = {
r1, r2
};

rateEquations = {
r1 -> cell*(-(K2*P[t]) + E[t]*X[t]), r2 -> cell*K3*P[t]
};

parameters = {
K2 -> 0.0, K3 -> 0.5, cell -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {
Q[t]->"http://identifiers.org/chebi/CHEBI:15377", X[t]->"http://identifiers.org/chebi/CHEBI:16240", X[t]->"http://identifiers.org/kegg.compound/C00027"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
E'[t] == 1.0*r2 -1.0*r1, P'[t] == 1.0*r1 -1.0*r2, Q'[t] == 1.0*r2 , X'[t] ==  -1.0*r1
};
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]}]