(* 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 = {
C[t], M[t], MI[t], X[t], XI[t]
};

initialValues = {
C[0] == 0.01, M[0] == 0.01, MI[0] == 0.99, X[0] == 0.01, XI[0] == 0.99
};

rates = {
reaction1, reaction2, reaction3, reaction4, reaction5, reaction6, reaction7
};

rateEquations = {
reaction1 -> cell*reaction1\[LetterSpace]vi, reaction2 -> cell*reaction2\[LetterSpace]kd*C[t], reaction3 -> (cell*reaction3\[LetterSpace]vd*C[t]*X[t])/(reaction3\[LetterSpace]Kd + C[t]), reaction4 -> (cell*V1*MI[t])/(reaction4\[LetterSpace]K1 + MI[t]), reaction5 -> (cell*reaction5\[LetterSpace]V2*M[t])/(reaction5\[LetterSpace]K2 + M[t]), reaction6 -> (cell*V3*XI[t])/(reaction6\[LetterSpace]K3 + XI[t]), reaction7 -> (cell*reaction7\[LetterSpace]V4*X[t])/(reaction7\[LetterSpace]K4 + X[t])
};

parameters = {
Kc -> 0.5, VM1 -> 3.0, VM3 -> 1.0, reaction3\[LetterSpace]vd -> 0.25, reaction1\[LetterSpace]vi -> 0.025, reaction2\[LetterSpace]kd -> 0.01, reaction3\[LetterSpace]Kd -> 0.02, reaction4\[LetterSpace]K1 -> 0.005, reaction5\[LetterSpace]V2 -> 1.5, reaction5\[LetterSpace]K2 -> 0.005, reaction6\[LetterSpace]K3 -> 0.005, reaction7\[LetterSpace]K4 -> 0.005, reaction7\[LetterSpace]V4 -> 0.5, cell -> 1.0
};

assignments = {
V3 -> VM3*M[t], V1 -> (VM1*C[t])/(Kc + C[t])
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
C'[t] == 1.0*reaction1 -1.0*reaction2 -1.0*reaction3, M'[t] == 1.0*reaction4 -1.0*reaction5, MI'[t] == 1.0*reaction5 -1.0*reaction4, X'[t] == 1.0*reaction6 -1.0*reaction7, XI'[t] == 1.0*reaction7 -1.0*reaction6
};
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]}]