(* 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 = {
T[t], Trr[t], Ts[t], Vr[t], Vs[t]
};

initialValues = {
T[0] == 1000000.0, Trr[0] == 0.0, Ts[0] == 0.0, Vr[0] == 0.0, Vs[0] == 1*^-06
};

rates = {
v1, v10, v11, v2, v3, v4, v5, v6, v7, v8, v9
};

rateEquations = {
v1 -> lambda, v10 -> delta*Nr*Trr[t], v11 -> c*Vr[t], v2 -> d*T[t], v3 -> ks*T[t]*Vs[t], v4 -> kr*T[t]*Vr[t], v5 -> ks*mu*T[t]*Vs[t], v6 -> delta*Ts[t], v7 -> delta*Ns*Ts[t], v8 -> c*Vs[t], v9 -> delta*Trr[t]
};

parameters = {
Nr -> 2000.0, Ns -> 3000.0, c -> 23.0, d -> 0.01, delta -> 1.0, kr -> 2*^-08, ks -> 2.4*^-08, lambda -> 10000.0, mu -> 3*^-05, default -> 1.0
};

assignments = {
TmicroL -> T[t]/1000, SumVsr -> Vr[t] + Vs[t]
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
T'[t] == 1.0*v1 -1.0*v3 -1.0*v4 -1.0*v2, Trr'[t] == 1.0*v5 +1.0*v4 -1.0*v9, Ts'[t] == 1.0*v3 -1.0*v6 -1.0*v5, Vr'[t] == 1.0*v10 -1.0*v11, Vs'[t] == 1.0*v7 -1.0*v8
};
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]}]