(* 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], TEstar[t], Tstar[t], V[t]
};

initialValues = {
T[0] == 1000000.0, TEstar[0] == 0.0, Tstar[0] == 0.0, V[0] == 1*^-06
};

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

rateEquations = {
v1 -> lambda, v2 -> d*T[t], v3 -> k*T[t]*V[t], v4 -> b*TEstar[t], v5 -> phi*TEstar[t], v6 -> deltaE*TEstar[t], v7 -> delta*Tstar[t], v8 -> p*Tstar[t], v9 -> c*V[t]
};

parameters = {
b -> 0.01, c -> 23.0, d -> 0.01, delta -> 1.0, deltaE -> 0.7, k -> 2.4*^-08, lambda -> 10000.0, p -> 4000.0, phi -> 0.8, default -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
T'[t] == 1.0*v1 +1.0*v4 -1.0*v3 -1.0*v2, TEstar'[t] == 1.0*v3 -1.0*v4 -1.0*v5 -1.0*v6, Tstar'[t] == 1.0*v5 -1.0*v7, V'[t] == 1.0*v8 -1.0*v9
};
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]}]