(* 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 = {
AMP[t], Acetic\[LetterSpace]acid[t], Amadori[t], C5[t], Cn[t], Formic\[LetterSpace]acid[t], Fru[t], Glu[t], Melanoidin[t], Triose[t], lys\[LetterSpace]R[t]
};

initialValues = {
AMP[0] == 0.0, Acetic\[LetterSpace]acid[0] == 0.0, Amadori[0] == 0.0, C5[0] == 0.0, Cn[0] == 0.0, Formic\[LetterSpace]acid[0] == 0.0, Fru[0] == 0.0, Glu[0] == 160.0, Melanoidin[0] == 0.0, Triose[0] == 0.0, lys\[LetterSpace]R[0] == 15.0
};

rates = {
\[LetterSpace]J1, \[LetterSpace]J10, \[LetterSpace]J11, \[LetterSpace]J2, \[LetterSpace]J3, \[LetterSpace]J4, \[LetterSpace]J5, \[LetterSpace]J6, \[LetterSpace]J7, \[LetterSpace]J8, \[LetterSpace]J9
};

rateEquations = {
\[LetterSpace]J1 -> \[LetterSpace]J1\[LetterSpace]K1*Glu[t], \[LetterSpace]J10 -> \[LetterSpace]J10\[LetterSpace]K10*Fru[t]*lys\[LetterSpace]R[t], \[LetterSpace]J11 -> \[LetterSpace]J11\[LetterSpace]K11*AMP[t], \[LetterSpace]J2 -> \[LetterSpace]J2\[LetterSpace]K2*Fru[t], \[LetterSpace]J3 -> \[LetterSpace]J3\[LetterSpace]K3*Glu[t], \[LetterSpace]J4 -> \[LetterSpace]J4\[LetterSpace]K4*Fru[t], \[LetterSpace]J5 -> \[LetterSpace]J5\[LetterSpace]K5*Fru[t], \[LetterSpace]J6 -> \[LetterSpace]J6\[LetterSpace]K6*Triose[t], \[LetterSpace]J7 -> \[LetterSpace]J7\[LetterSpace]K7*Glu[t]*lys\[LetterSpace]R[t], \[LetterSpace]J8 -> \[LetterSpace]J8\[LetterSpace]K8*Amadori[t], \[LetterSpace]J9 -> \[LetterSpace]J9\[LetterSpace]K9*Amadori[t]
};

parameters = {
\[LetterSpace]J1\[LetterSpace]K1 -> 0.01, \[LetterSpace]J2\[LetterSpace]K2 -> 0.00509, \[LetterSpace]J3\[LetterSpace]K3 -> 0.00047, \[LetterSpace]J4\[LetterSpace]K4 -> 0.0011, \[LetterSpace]J5\[LetterSpace]K5 -> 0.00712, \[LetterSpace]J6\[LetterSpace]K6 -> 0.00439, \[LetterSpace]J7\[LetterSpace]K7 -> 0.00018, \[LetterSpace]J8\[LetterSpace]K8 -> 0.11134, \[LetterSpace]J9\[LetterSpace]K9 -> 0.14359, \[LetterSpace]J10\[LetterSpace]K10 -> 0.00015, \[LetterSpace]J11\[LetterSpace]K11 -> 0.12514, compartment -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {
Acetic\[LetterSpace]acid[t]->"http://identifiers.org/chebi/CHEBI:15366", Acetic\[LetterSpace]acid[t]->"http://identifiers.org/kegg.compound/C00033", Formic\[LetterSpace]acid[t]->"http://identifiers.org/chebi/CHEBI:30751", Formic\[LetterSpace]acid[t]->"http://identifiers.org/kegg.compound/C00058", Fru[t]->"http://identifiers.org/chebi/CHEBI:28757", Fru[t]->"http://identifiers.org/kegg.compound/C01496", Glu[t]->"http://identifiers.org/chebi/CHEBI:17234", Glu[t]->"http://identifiers.org/kegg.compound/C00293", lys\[LetterSpace]R[t]->"http://identifiers.org/chebi/CHEBI:32568"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
AMP'[t] == 1.0*\[LetterSpace]J9 +1.0*\[LetterSpace]J10 -1.0*\[LetterSpace]J11, Acetic\[LetterSpace]acid'[t] == 1.0*\[LetterSpace]J6 +1.0*\[LetterSpace]J8 , Amadori'[t] == 1.0*\[LetterSpace]J7 -1.0*\[LetterSpace]J8 -1.0*\[LetterSpace]J9, C5'[t] == 1.0*\[LetterSpace]J3 +1.0*\[LetterSpace]J4 , Cn'[t] == 1.0*\[LetterSpace]J6 , Formic\[LetterSpace]acid'[t] == 1.0*\[LetterSpace]J3 +1.0*\[LetterSpace]J4 , Fru'[t] == 1.0*\[LetterSpace]J1 -1.0*\[LetterSpace]J2 -1.0*\[LetterSpace]J4 -1.0*\[LetterSpace]J5 -1.0*\[LetterSpace]J10, Glu'[t] == 1.0*\[LetterSpace]J2 -1.0*\[LetterSpace]J1 -1.0*\[LetterSpace]J3 -1.0*\[LetterSpace]J7, Melanoidin'[t] == 1.0*\[LetterSpace]J11 , Triose'[t] == 2.0*\[LetterSpace]J5 -1.0*\[LetterSpace]J6, lys\[LetterSpace]R'[t] == 1.0*\[LetterSpace]J8 -1.0*\[LetterSpace]J7 -1.0*\[LetterSpace]J10
};
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]}]