(* 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 = {
species\[LetterSpace]1[t], species\[LetterSpace]2[t], species\[LetterSpace]3[t], species\[LetterSpace]4[t]
};

initialValues = {
species\[LetterSpace]1[0] == 0.1, species\[LetterSpace]2[0] == 0.1, species\[LetterSpace]3[0] == 0.1, species\[LetterSpace]4[0] == 0.1
};

rates = {
reaction\[LetterSpace]1, reaction\[LetterSpace]2, reaction\[LetterSpace]3, reaction\[LetterSpace]4, reaction\[LetterSpace]5, reaction\[LetterSpace]6, reaction\[LetterSpace]7, reaction\[LetterSpace]8, reaction\[LetterSpace]9
};

rateEquations = {
reaction\[LetterSpace]1 -> compartment\[LetterSpace]1*reaction\[LetterSpace]1\[LetterSpace]k1*species\[LetterSpace]1[t], reaction\[LetterSpace]2 -> compartment\[LetterSpace]1*reaction\[LetterSpace]2\[LetterSpace]k1*species\[LetterSpace]2[t], reaction\[LetterSpace]3 -> compartment\[LetterSpace]1*reaction\[LetterSpace]3\[LetterSpace]k1*species\[LetterSpace]3[t], reaction\[LetterSpace]4 -> compartment\[LetterSpace]1*reaction\[LetterSpace]4\[LetterSpace]k1*species\[LetterSpace]4[t], reaction\[LetterSpace]5 -> compartment\[LetterSpace]1*parameter\[LetterSpace]1*species\[LetterSpace]3[t], reaction\[LetterSpace]6 -> compartment\[LetterSpace]1*parameter\[LetterSpace]2*species\[LetterSpace]4[t], reaction\[LetterSpace]7 -> compartment\[LetterSpace]1*function\[LetterSpace]1[reaction\[LetterSpace]7\[LetterSpace]V, reaction\[LetterSpace]7\[LetterSpace]Shalve, parameter\[LetterSpace]4, species\[LetterSpace]2[t]], reaction\[LetterSpace]8 -> compartment\[LetterSpace]1*function\[LetterSpace]2[species\[LetterSpace]1[t], reaction\[LetterSpace]8\[LetterSpace]Shalve, reaction\[LetterSpace]8\[LetterSpace]V, parameter\[LetterSpace]5], reaction\[LetterSpace]9 -> compartment\[LetterSpace]1*parameter\[LetterSpace]6*species\[LetterSpace]4[t]
};

parameters = {
parameter\[LetterSpace]1 -> 0.57, parameter\[LetterSpace]2 -> 2.5, parameter\[LetterSpace]3 -> 1.0, parameter\[LetterSpace]4 -> 6.5, parameter\[LetterSpace]5 -> 6.5, parameter\[LetterSpace]6 -> 1.5, reaction\[LetterSpace]1\[LetterSpace]k1 -> 1.0, reaction\[LetterSpace]2\[LetterSpace]k1 -> 1.0, reaction\[LetterSpace]3\[LetterSpace]k1 -> 1.0, reaction\[LetterSpace]4\[LetterSpace]k1 -> 1.0, reaction\[LetterSpace]7\[LetterSpace]V -> 1.0, reaction\[LetterSpace]7\[LetterSpace]Shalve -> 1.0, reaction\[LetterSpace]8\[LetterSpace]Shalve -> 1.0, reaction\[LetterSpace]8\[LetterSpace]V -> 1.0, compartment\[LetterSpace]1 -> 1.0
};

assignments = {
function\[LetterSpace]1[V_,Shalve_,h_,substrate_] -> V/(Shalve^h + substrate^h), function\[LetterSpace]2[substrate_,Shalve_,V_,h_] -> (substrate^h*V)/(Shalve^h + substrate^h)
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
species\[LetterSpace]1'[t] == 1.0*reaction\[LetterSpace]5 +1.0*reaction\[LetterSpace]8 +1.0*reaction\[LetterSpace]9 -1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]8, species\[LetterSpace]2'[t] == 1.0*reaction\[LetterSpace]6 +1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]7, species\[LetterSpace]3'[t] == 1.0*reaction\[LetterSpace]5 +1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]5, species\[LetterSpace]4'[t] == 1.0*reaction\[LetterSpace]6 +1.0*reaction\[LetterSpace]8 +1.0*reaction\[LetterSpace]9 -1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]9
};
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]}]