(* 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 = {
zd[t], zs[t], zsm[t]
};

initialValues = {
zd[0] == 1.0, zs[0] == 0.5, zsm[0] == 0.0
};

rates = {
v1, v2, v3
};

rateEquations = {
v1 -> lp*(-1 + 2*pr)*zs[t], v2 -> lp*(-1 + 2*prm)*zsm[t], v3 -> -(lm*zd[t]) + 2*lp*(1 - pr)*zs[t] + 2*lp*(1 - prm)*zsm[t]
};

parameters = {
k\[LetterSpace]pr -> 1.0, k\[LetterSpace]prm -> 0.15, lm -> 0.5, lp -> 1.0, default -> 1.0
};

assignments = {
pr -> (1 + (k\[LetterSpace]pr*zd[t])^0.5)^(-1), prm -> (1 + (k\[LetterSpace]prm*zd[t])^0.5)^(-1)
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
zd'[t] == 1.0*v3 , zs'[t] == 1.0*v1 , zsm'[t] == 1.0*v2 
};
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]}]