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

initialValues = {
P[0] == 0.0, Q[0] == 0.0, R[0] == 0.0
};

rates = {
reaction\[LetterSpace]0, reaction\[LetterSpace]1, reaction\[LetterSpace]2, reaction\[LetterSpace]3, reaction\[LetterSpace]4, reaction\[LetterSpace]5
};

rateEquations = {
reaction\[LetterSpace]0 -> body*function\[LetterSpace]0[reaction\[LetterSpace]0\[LetterSpace]a, Q[t]], reaction\[LetterSpace]1 -> function\[LetterSpace]1[reaction\[LetterSpace]1\[LetterSpace]V, P[t], reaction\[LetterSpace]1\[LetterSpace]Km], reaction\[LetterSpace]2 -> function\[LetterSpace]2[reaction\[LetterSpace]2\[LetterSpace]V1, Q[t], reaction\[LetterSpace]2\[LetterSpace]K1], reaction\[LetterSpace]3 -> function\[LetterSpace]3[reaction\[LetterSpace]3\[LetterSpace]V2, R[t], Q[t], reaction\[LetterSpace]3\[LetterSpace]K2], reaction\[LetterSpace]4 -> function\[LetterSpace]4[P[t], reaction\[LetterSpace]4\[LetterSpace]V3, R[t], reaction\[LetterSpace]4\[LetterSpace]k3], reaction\[LetterSpace]5 -> function\[LetterSpace]1[reaction\[LetterSpace]5\[LetterSpace]V, R[t], reaction\[LetterSpace]5\[LetterSpace]Km]
};

parameters = {
reaction\[LetterSpace]5\[LetterSpace]Km -> 0.01, reaction\[LetterSpace]4\[LetterSpace]k3 -> 0.01, reaction\[LetterSpace]0\[LetterSpace]a -> 0.1, reaction\[LetterSpace]1\[LetterSpace]V -> 0.1, reaction\[LetterSpace]1\[LetterSpace]Km -> 0.2, reaction\[LetterSpace]2\[LetterSpace]V1 -> 1.0, reaction\[LetterSpace]2\[LetterSpace]K1 -> 0.01, reaction\[LetterSpace]3\[LetterSpace]V2 -> 1.5, reaction\[LetterSpace]3\[LetterSpace]K2 -> 0.01, reaction\[LetterSpace]4\[LetterSpace]V3 -> 6.0, reaction\[LetterSpace]5\[LetterSpace]V -> 2.5, body -> 1.0
};

assignments = {
function\[LetterSpace]4[P_,V3_,R_,k3_] -> (P*(1 - R)*V3)/(1 + k3 - R), function\[LetterSpace]0[a_,Q_] -> a*Q, function\[LetterSpace]1[V_,substrate_,Km_] -> (substrate*V)/(Km + substrate), function\[LetterSpace]2[V1_,Q_,K1_] -> ((1 - Q)*V1)/(1 + K1 - Q), function\[LetterSpace]3[V2_,R_,Q_,K2_] -> (Q*R*V2)/(K2 + Q)
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
P'[t] == 1.0*reaction\[LetterSpace]0 -1.0*reaction\[LetterSpace]1, Q'[t] == 1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]3, R'[t] == 1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]5
};
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]}]