(* 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 = {
y[t], z[t]
};

initialValues = {
y[0] == 1.4, z[0] == 0.1
};

rates = {
reaction\[LetterSpace]0000001, reaction\[LetterSpace]0000002, reaction\[LetterSpace]0000003, reaction\[LetterSpace]0000004, reaction\[LetterSpace]0000005, reaction\[LetterSpace]0000006
};

rateEquations = {
reaction\[LetterSpace]0000001 -> beta*Cytosol*v1, reaction\[LetterSpace]0000002 -> Cytosol*v0, reaction\[LetterSpace]0000003 -> Cytosol*kf*y[t], reaction\[LetterSpace]0000004 -> (intracellular\[LetterSpace]Ca\[LetterSpace]storepool*VM2*z[t]^n)/(K2^n + z[t]^n), reaction\[LetterSpace]0000005 -> (Cytosol*VM3*y[t]^m*z[t]^p)/((KR^m + y[t]^m)*(KA^p + z[t]^p)), reaction\[LetterSpace]0000006 -> extracellular*k*z[t]
};

parameters = {
K2 -> 1.0, KA -> 0.9, KR -> 2.0, VM2 -> 65.0, VM3 -> 500.0, flag -> 0.0, k -> 10.0, kf -> 1.0, m -> 2.0, n -> 2.0, p -> 4.0, tstim -> 4.0, v0 -> 1.0, v1 -> 7.3, Cytosol -> 1.0, extracellular -> 1.0, intracellular\[LetterSpace]Ca\[LetterSpace]storepool -> 1.0
};

assignments = {
beta -> (0.96*flag)/E^(0.2*(t - tstim))
};

events = {

};

speciesAnnotations = {
y[t]->"http://identifiers.org/obo.chebi/CHEBI:29108", y[t]->"http://identifiers.org/kegg.compound/C00076", z[t]->"http://identifiers.org/obo.chebi/CHEBI:29108", z[t]->"http://identifiers.org/kegg.compound/C00076"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
y'[t] == 1.0*reaction\[LetterSpace]0000004 -1.0*reaction\[LetterSpace]0000003 -1.0*reaction\[LetterSpace]0000005, z'[t] == 1.0*reaction\[LetterSpace]0000001 +1.0*reaction\[LetterSpace]0000002 +1.0*reaction\[LetterSpace]0000003 +1.0*reaction\[LetterSpace]0000005 -1.0*reaction\[LetterSpace]0000004 -1.0*reaction\[LetterSpace]0000006
};
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]}]