(* 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 = {
h[t], hm[t], hmm[t], hmmm[t]
};

initialValues = {
h[0] == 0.0, hm[0] == 0.0, hmm[0] == 0.0, hmmm[0] == 0.0
};

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

rateEquations = {
v\[LetterSpace]1 -> gamma, v\[LetterSpace]2 -> dot*k0*h[t], v\[LetterSpace]3 -> dot*k1*hm[t], v\[LetterSpace]4 -> dot*k2*hmm[t], v\[LetterSpace]5 -> mu*h[t], v\[LetterSpace]6 -> mu*hm[t], v\[LetterSpace]7 -> mu*hmm[t], v\[LetterSpace]8 -> mu*hmmm[t]
};

parameters = {
dot -> 0.00625, k0 -> 0.055, k1 -> 0.019, k2 -> 0.0087, mu -> 0.00483333, s -> 0.0, x -> 0.0, xm -> 0.0, xmm -> 0.0, xmmm -> 0.0, default\[LetterSpace]compartment -> 1.0
};

assignments = {
gamma -> 125*mu, HM -> hm[t]/(h[t] + hm[t] + hmm[t] + hmmm[t]), H -> h[t]/(h[t] + hm[t] + hmm[t] + hmmm[t]), HMMM -> hmmm[t]/(h[t] + hm[t] + hmm[t] + hmmm[t]), HMM -> hmm[t]/(h[t] + hm[t] + hmm[t] + hmmm[t])
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
h'[t] == 1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]5 -1.0*v\[LetterSpace]2, hm'[t] == 1.0*v\[LetterSpace]2 -1.0*v\[LetterSpace]6 -1.0*v\[LetterSpace]3, hmm'[t] == 1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]4 -1.0*v\[LetterSpace]7, hmmm'[t] == 1.0*v\[LetterSpace]4 -1.0*v\[LetterSpace]8
};
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]}]