(* 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 = {
M[t], P[t]
};

initialValues = {
M[0] == 0.0, P[0] == 0.0
};

rates = {
DBT, ProteinD, TC, TL, mRNAD
};

rateEquations = {
DBT -> (CYTOPLASM*(DBT\[LetterSpace]k2*P[t] + (2*DBT\[LetterSpace]k1*P[t])/(1 + (1 + 8*DBT\[LetterSpace]Keq*P[t])^0.5)))/(DBT\[LetterSpace]J + P[t]), ProteinD -> CYTOPLASM*ProteinD\[LetterSpace]D*P[t], TC -> (CYTOPLASM*TC\[LetterSpace]Vm)/(1 + (P[t]^2*(1 - 2/(1 + (1 + 8*TC\[LetterSpace]Keq*P[t])^0.5))^2)/(4*TC\[LetterSpace]Pcrit^2)), TL -> CYTOPLASM*TL\[LetterSpace]V*M[t], mRNAD -> CYTOPLASM*mRNAD\[LetterSpace]D*M[t]
};

parameters = {
N\[LetterSpace]A -> 6.0221367*^+23, EmptySet -> 0.0, TC\[LetterSpace]Vm -> 1.0, TC\[LetterSpace]Pcrit -> 0.1, TC\[LetterSpace]Keq -> 200.0, TL\[LetterSpace]V -> 0.5, mRNAD\[LetterSpace]D -> 0.1, ProteinD\[LetterSpace]D -> 0.1, DBT\[LetterSpace]k1 -> 10.0, DBT\[LetterSpace]k2 -> 0.03, DBT\[LetterSpace]J -> 0.05, DBT\[LetterSpace]Keq -> 200.0, CYTOPLASM -> 1.0, default -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {
P[t]->"http://identifiers.org/uniprot/P07663"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
M'[t] == 1.0*TC -1.0*mRNAD, P'[t] == 1.0*TL -1.0*ProteinD -1.0*DBT
};
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]}]