(* 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 = {
y1[t], y2[t], y3[t], y4[t], y5[t], y6[t]
};

initialValues = {
y1[0] == 0.014, y2[0] == 0.006, y3[0] == 0.0, y4[0] == 0.0, y5[0] == 0.0001, y6[0] == 0.0
};

rates = {
R1, R10, R11, R12, R13, R14, R15, R2, R3, R4, R5, R6, R7, R8, R9
};

rateEquations = {
R1 -> (emax*k1*y1[t])/(k1*y1[t] + (k1\[LetterSpace]prime + k1\[LetterSpace]double\[LetterSpace]prime*y1[t])*y2[t]), R10 -> k4a*y5[t], R11 -> phi4i*y4[t], R12 -> phi4a*y5[t], R13 -> k6*y1[t], R14 -> F6, R15 -> phi6*y6[t], R2 -> phi1*y1[t], R3 -> k2*y1[t], R4 -> k3*y2[t]*y5[t], R5 -> phi2*y2[t], R6 -> phi3*y3[t], R7 -> k4*y1[t], R8 -> k4\[LetterSpace]double\[LetterSpace]prime*y6[t], R9 -> k4i*y4[t]*y5[t]
};

parameters = {
emax -> 2.0, k1 -> 1.0, k1\[LetterSpace]double\[LetterSpace]prime -> 10.0, k1\[LetterSpace]prime -> 1.0, k2 -> 1.0, k3 -> 0.4, k4 -> 0.09, k4\[LetterSpace]double\[LetterSpace]prime -> 0.1, k4a -> 2.0, k4i -> 1.0, k6 -> 0.0, phi1 -> 0.1, phi2 -> 0.01, phi3 -> 0.1, phi4a -> 0.01, phi4i -> 0.01, phi6 -> 0.1, compartment -> 1.0
};

assignments = {
F6 -> Piecewise[{{0.044, t <= 60}}, 0]
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
y1'[t] == 1.0*R1 -1.0*R2, y2'[t] == 1.0*R3 -1.0*R4 -1.0*R5, y3'[t] == 1.0*R4 -1.0*R6, y4'[t] == 1.0*R7 +1.0*R8 +1.0*R10 -1.0*R9 -1.0*R11, y5'[t] == 1.0*R9 -1.0*R10 -1.0*R12, y6'[t] == 1.0*R13 +1.0*R14 -1.0*R15
};
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]}]