(* 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], GQ[t], H[t], HR[t], HRRH[t], IP3[t], R[t]
};

initialValues = {
E[0] == 0.0, GQ[0] == 0.1, H[0] == 1.0, HR[0] == 0.0, HRRH[0] == 0.0, IP3[0] == 0.0, R[0] == 0.01
};

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

rateEquations = {
reaction\[LetterSpace]0 -> cell*(-(reaction\[LetterSpace]0\[LetterSpace]k2*HR[t]) + reaction\[LetterSpace]0\[LetterSpace]k1*H[t]*R[t]), reaction\[LetterSpace]1 -> cell*(reaction\[LetterSpace]1\[LetterSpace]k1*HR[t]^2 - reaction\[LetterSpace]1\[LetterSpace]k2*HRRH[t]), reaction\[LetterSpace]2 -> cell*(-(reaction\[LetterSpace]2\[LetterSpace]k2*E[t]) + reaction\[LetterSpace]2\[LetterSpace]k1*GQ[t]*HRRH[t]), reaction\[LetterSpace]3 -> cell*reaction\[LetterSpace]3\[LetterSpace]k1*IP3[t], reaction\[LetterSpace]4 -> cell*reaction\[LetterSpace]4\[LetterSpace]k*E[t]
};

parameters = {
alpha -> 2.0, beta -> 4.0, reaction\[LetterSpace]0\[LetterSpace]k1 -> 2.5, reaction\[LetterSpace]0\[LetterSpace]k2 -> 5.0, reaction\[LetterSpace]1\[LetterSpace]k1 -> 2500.0, reaction\[LetterSpace]1\[LetterSpace]k2 -> 5.0, reaction\[LetterSpace]2\[LetterSpace]k1 -> 4000.0, reaction\[LetterSpace]2\[LetterSpace]k2 -> 200.0, reaction\[LetterSpace]3\[LetterSpace]k1 -> 10.0, reaction\[LetterSpace]4\[LetterSpace]k -> 20000000.0, cell -> 1.0
};

assignments = {
CHO -> (0.001*alpha*(0.3 + 0.3*beta*E^(1 - beta*t)*t)*IP3[t])/(1 + 0.001*alpha*IP3[t])
};

events = {

};

speciesAnnotations = {
E[t]->"http://identifiers.org/pirsf/PIRSF005483"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
E'[t] == 1.0*reaction\[LetterSpace]2 , GQ'[t] ==  -1.0*reaction\[LetterSpace]2, H'[t] ==  -1.0*reaction\[LetterSpace]0, HR'[t] == 1.0*reaction\[LetterSpace]0 -2.0*reaction\[LetterSpace]1, HRRH'[t] == 1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]2, IP3'[t] == 1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]3, R'[t] ==  -1.0*reaction\[LetterSpace]0
};
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]}]