(* 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 = {
CD274mRNA[t], IL13\[LetterSpace]Rec[t], JAK2[t], Rec[t], Rec\[LetterSpace]i[t], SHP1[t], STAT5[t], pJAK2[t], pSTAT5[t], p\[LetterSpace]IL13\[LetterSpace]Rec[t], p\[LetterSpace]IL13\[LetterSpace]Rec\[LetterSpace]i[t]
};

initialValues = {
CD274mRNA[0] == 0.0, IL13\[LetterSpace]Rec[0] == 0.0, JAK2[0] == 24.0, Rec[0] == 1.8, Rec\[LetterSpace]i[0] == 118.598, SHP1[0] == 9.4, STAT5[0] == 209.0, pJAK2[0] == 0.0, pSTAT5[0] == 0.0, p\[LetterSpace]IL13\[LetterSpace]Rec[0] == 0.0, p\[LetterSpace]IL13\[LetterSpace]Rec\[LetterSpace]i[0] == 0.0
};

rates = {
reaction\[LetterSpace]1, reaction\[LetterSpace]10, reaction\[LetterSpace]11, reaction\[LetterSpace]12, reaction\[LetterSpace]2, reaction\[LetterSpace]3, reaction\[LetterSpace]4, reaction\[LetterSpace]5, reaction\[LetterSpace]6, reaction\[LetterSpace]7, reaction\[LetterSpace]8, reaction\[LetterSpace]9
};

rateEquations = {
reaction\[LetterSpace]1 -> cell*IL13*Kon\[LetterSpace]IL13Rec*Rec[t], reaction\[LetterSpace]10 -> cell*STAT5\[LetterSpace]phosphorylation*pJAK2[t]*STAT5[t], reaction\[LetterSpace]11 -> cell*pSTAT5\[LetterSpace]dephosphorylation*pSTAT5[t]*SHP1[t], reaction\[LetterSpace]12 -> CD274mRNA\[LetterSpace]production*cell*pSTAT5[t], reaction\[LetterSpace]2 -> cell*Rec\[LetterSpace]intern*Rec[t], reaction\[LetterSpace]3 -> cell*Rec\[LetterSpace]recycle*Rec\[LetterSpace]i[t], reaction\[LetterSpace]4 -> cell*Rec\[LetterSpace]phosphorylation*IL13\[LetterSpace]Rec[t]*pJAK2[t], reaction\[LetterSpace]5 -> cell*JAK2\[LetterSpace]phosphorylation*IL13\[LetterSpace]Rec[t]*JAK2[t], reaction\[LetterSpace]6 -> cell*JAK2\[LetterSpace]phosphorylation*JAK2[t]*p\[LetterSpace]IL13\[LetterSpace]Rec[t], reaction\[LetterSpace]7 -> cell*pRec\[LetterSpace]intern*p\[LetterSpace]IL13\[LetterSpace]Rec[t], reaction\[LetterSpace]8 -> cell*pRec\[LetterSpace]degradation*p\[LetterSpace]IL13\[LetterSpace]Rec\[LetterSpace]i[t], reaction\[LetterSpace]9 -> cell*pJAK2\[LetterSpace]dephosphorylation*pJAK2[t]*SHP1[t]
};

parameters = {
CD274mRNA\[LetterSpace]production -> 0.0115928, IL13stimulation -> 1.0, JAK2\[LetterSpace]phosphorylation -> 0.300019, Kon\[LetterSpace]IL13Rec -> 0.00174087, Rec\[LetterSpace]intern -> 0.259686, Rec\[LetterSpace]phosphorylation -> 9.07541, Rec\[LetterSpace]recycle -> 0.0039243, STAT5\[LetterSpace]phosphorylation -> 0.00426767, pJAK2\[LetterSpace]dephosphorylation -> 0.0981611, pRec\[LetterSpace]degradation -> 0.417538, pRec\[LetterSpace]intern -> 0.324132, pSTAT5\[LetterSpace]dephosphorylation -> 0.0116389, cell -> 100.0
};

assignments = {
IL13 -> 3.776*IL13stimulation
};

events = {

};

speciesAnnotations = {
CD274mRNA[t]->"http://identifiers.org/chebi/CHEBI:33699", CD274mRNA[t]->"http://identifiers.org/kegg.compound/C00046", CD274mRNA[t]->"http://identifiers.org/uniprot/P20963", Rec[t]->"http://identifiers.org/go/GO:0016516", Rec[t]->"http://identifiers.org/uniprot/P29597", Rec[t]->"http://identifiers.org/uniprot/P78552", Rec[t]->"http://identifiers.org/uniprot/P24394", Rec[t]->"http://identifiers.org/go/GO:0019973"
};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
CD274mRNA'[t] == 1.0*reaction\[LetterSpace]12 , IL13\[LetterSpace]Rec'[t] == 1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]4, JAK2'[t] == 1.0*reaction\[LetterSpace]9 -1.0*reaction\[LetterSpace]5 -1.0*reaction\[LetterSpace]6, Rec'[t] == 1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]2, Rec\[LetterSpace]i'[t] == 1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]3, SHP1'[t] == 0.0 , STAT5'[t] == 1.0*reaction\[LetterSpace]11 -1.0*reaction\[LetterSpace]10, pJAK2'[t] == 1.0*reaction\[LetterSpace]5 +1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]9, pSTAT5'[t] == 1.0*reaction\[LetterSpace]10 -1.0*reaction\[LetterSpace]11, p\[LetterSpace]IL13\[LetterSpace]Rec'[t] == 1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]7, p\[LetterSpace]IL13\[LetterSpace]Rec\[LetterSpace]i'[t] == 1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]8
};
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]}]