(* 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 = {
Ln\[LetterSpace][t], NRLn[t], NRn[t], RE[t], REL[t]
};

initialValues = {
Ln\[LetterSpace][0] == 0.0, NRLn[0] == 0.0, NRn[0] == 370.0, RE[0] == 3.7, REL[0] == 0.0
};

rates = {
v\[LetterSpace]1, v\[LetterSpace]2, v\[LetterSpace]3
};

rateEquations = {
v\[LetterSpace]1 -> k1*NRLn[t]*RE[t] - k2*REL[t], v\[LetterSpace]2 -> TR[Kapf, Lc, Kapb, Ln\[LetterSpace][t]]/Vnucleus, v\[LetterSpace]3 -> -(k22*NRLn[t]) + k12*Ln\[LetterSpace][t]*NRn[t]
};

parameters = {
Kapb -> 3.24*^-11, Kapf -> 3.24*^-11, Vcytosol -> 1.55*^-12, Vnucleus -> 4.5*^-13, k1 -> 60.0, k12 -> 60.0, k2 -> 60.0, k22 -> 60.0, Lc -> 0.005, default\[LetterSpace]compartment -> 1.0
};

assignments = {
TR[Kapf_,Cvar_,Kapb_,Nvar_] -> Cvar*Kapf - Kapb*Nvar
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

units = {
{"time" -> "min", "metabolite" -> "nmol/L", "extent" -> "nM"}
};

(* Time evolution *)
odes = {
Ln\[LetterSpace]'[t] == 1.0*v\[LetterSpace]2 -1.0*v\[LetterSpace]3, NRLn'[t] == 1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]1, NRn'[t] ==  -1.0*v\[LetterSpace]3, RE'[t] ==  -1.0*v\[LetterSpace]1, REL'[t] == 1.0*v\[LetterSpace]1 
};
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]}]