(* 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 = {
FREP[t], Fus3[t], Fus3PP[t], Gbg[t], Kss1[t], Kss1PP[t], PREP[t], Ste11[t], Ste11P[t], Ste11Ubi[t], Ste12[t], Ste12Kss1[t], Ste12P[t], Ste12TeSte5[t], Ste12TeSte5Kss1[t], Ste12TeSte5P[t], Ste5[t], Ste5Ste11[t], Ste5Ste11Gbg[t], Ste5Ste11GbgFus3[t], Ste5Ste11GbgFus3P[t], Ste5Ste11GbgKss1[t], Ste5Ste11GbgKss1P[t], Ste5Ste11GbgP[t]
};

initialValues = {
FREP[0] == 0.0, Fus3[0] == 217.0, Fus3PP[0] == 0.0, Gbg[0] == 53.0, Kss1[0] == 54.4, Kss1PP[0] == 0.0, PREP[0] == 0.0, Ste11[0] == 13.3, Ste11P[0] == 0.0, Ste11Ubi[0] == 0.0, Ste12[0] == 0.07, Ste12Kss1[0] == 35.9, Ste12P[0] == 0.0, Ste12TeSte5[0] == 0.25, Ste12TeSte5Kss1[0] == 13.7, Ste12TeSte5P[0] == 0.0, Ste5[0] == 42.3, Ste5Ste11[0] == 5.6, Ste5Ste11Gbg[0] == 0.0, Ste5Ste11GbgFus3[0] == 0.0, Ste5Ste11GbgFus3P[0] == 0.0, Ste5Ste11GbgKss1[0] == 0.0, Ste5Ste11GbgKss1P[0] == 0.0, Ste5Ste11GbgP[0] == 0.0
};

rates = {
v\[LetterSpace]1, v\[LetterSpace]10, v\[LetterSpace]11, v\[LetterSpace]12, v\[LetterSpace]13, v\[LetterSpace]14, v\[LetterSpace]15, v\[LetterSpace]16, v\[LetterSpace]17, v\[LetterSpace]18, v\[LetterSpace]19, v\[LetterSpace]2, v\[LetterSpace]20, v\[LetterSpace]21, v\[LetterSpace]22, v\[LetterSpace]23, v\[LetterSpace]24, v\[LetterSpace]25, v\[LetterSpace]26, v\[LetterSpace]27, v\[LetterSpace]28, v\[LetterSpace]29, v\[LetterSpace]3, v\[LetterSpace]30, v\[LetterSpace]31, v\[LetterSpace]4, v\[LetterSpace]5, v\[LetterSpace]6, v\[LetterSpace]7, v\[LetterSpace]8, v\[LetterSpace]9
};

rateEquations = {
v\[LetterSpace]1 -> k1*Ste11[t]*Ste5[t], v\[LetterSpace]10 -> k10*Ste5Ste11GbgKss1[t], v\[LetterSpace]11 -> k11*Ste5Ste11GbgKss1P[t], v\[LetterSpace]12 -> k12*Kss1[t]*Ste5Ste11GbgP[t], v\[LetterSpace]13 -> beta*k13*Ste11[t], v\[LetterSpace]14 -> k14*Ste11P[t], v\[LetterSpace]15 -> k15*Kss1[t]*Ste11P[t] + k30*Kss1[t]*Ste11Ubi[t], v\[LetterSpace]16 -> k16*Kss1PP[t] + k28*Fus3PP[t]*Kss1PP[t], v\[LetterSpace]17 -> k17*Ste12Kss1[t], v\[LetterSpace]18 -> k18*Kss1[t]*Ste12[t], v\[LetterSpace]19 -> k19*Fus3PP[t]*Ste12[t] + k29*Kss1PP[t]*Ste12[t], v\[LetterSpace]2 -> alpha*k2*Gbg[t]*Ste5Ste11[t], v\[LetterSpace]20 -> k20*Ste12P[t], v\[LetterSpace]21 -> k21*Ste12TeSte5Kss1[t], v\[LetterSpace]22 -> k22*Kss1[t]*Ste12TeSte5[t], v\[LetterSpace]23 -> k23*Kss1PP[t]*Ste12TeSte5[t], v\[LetterSpace]24 -> k24*Fus3PP[t]*Ste12TeSte5[t], v\[LetterSpace]25 -> k25*Ste12TeSte5P[t], v\[LetterSpace]26 -> k26*Fus3PP[t], v\[LetterSpace]27 -> k27*Ste5Ste11[t], v\[LetterSpace]28 -> k31*Ste12P[t], v\[LetterSpace]29 -> k32*PREP[t], v\[LetterSpace]3 -> k3*Fus3[t]*Ste5Ste11Gbg[t], v\[LetterSpace]30 -> k33*Ste12TeSte5P[t], v\[LetterSpace]31 -> k34*FREP[t], v\[LetterSpace]4 -> k4*Ste5Ste11GbgFus3[t], v\[LetterSpace]5 -> k5*Ste5Ste11GbgFus3P[t], v\[LetterSpace]6 -> k6*Fus3[t]*Ste5Ste11GbgP[t], v\[LetterSpace]7 -> k7*Ste5Ste11GbgP[t], v\[LetterSpace]8 -> k8*Ste11Ubi[t], v\[LetterSpace]9 -> k9*Kss1[t]*Ste5Ste11Gbg[t]
};

parameters = {
alphaA -> 1.0, alphae -> 10.0, alphas -> 2.0, alphastim -> 1.0, alphat -> 0.0, betaA -> 1.0, betae -> 360.0, betas -> 20.0, betastim -> 1.0, betat -> 0.0, k1 -> 0.01, k10 -> 1.0, k11 -> 1.0, k12 -> 1.0, k13 -> 1.0, k14 -> 0.1, k15 -> 0.1, k16 -> 0.1, k17 -> 1.0, k18 -> 10.0, k19 -> 1.0, k2 -> 0.01, k20 -> 1.0, k21 -> 1.0, k22 -> 1.0, k23 -> 1.0, k24 -> 0.01, k25 -> 1.0, k26 -> 0.1, k27 -> 1.0, k28 -> 0.01, k29 -> 0.01, k3 -> 1.0, k30 -> 0.1, k31 -> 1.0, k32 -> 1.0, k33 -> 1.0, k34 -> 1.0, k4 -> 1.0, k5 -> 1.0, k6 -> 1.0, k7 -> 10.0, k8 -> 0.1, k9 -> 1.0, p -> 0.0, s -> 0.0, default\[LetterSpace]compartment -> 1.0
};

assignments = {
beta -> betastim*((betaA*Piecewise[{{1, -betae + t >= 0}}, 0])/E^((-betae + t)/betas) + betaA*(1 - E^(-((-betat + t)/betas)))*Piecewise[{{1, (betae - t)*(-betat + t) >= 0}}, 0]), alpha -> alphastim*((alphaA*Piecewise[{{1, -alphae + t >= 0}}, 0])/E^((-alphae + t)/alphas) + alphaA*(1 - E^(-((-alphat + t)/alphas)))*Piecewise[{{1, (alphae - t)*(-alphat + t) >= 0}}, 0])
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
FREP'[t] == 1.0*v\[LetterSpace]25 -1.0*v\[LetterSpace]31, Fus3'[t] == 1.0*v\[LetterSpace]26 -1.0*v\[LetterSpace]6 -1.0*v\[LetterSpace]3, Fus3PP'[t] == 1.0*v\[LetterSpace]5 -1.0*v\[LetterSpace]26, Gbg'[t] == 1.0*v\[LetterSpace]7 -1.0*v\[LetterSpace]2, Kss1'[t] == 1.0*v\[LetterSpace]16 +2.0*v\[LetterSpace]17 +1.0*v\[LetterSpace]21 -2.0*v\[LetterSpace]18 -1.0*v\[LetterSpace]9 -1.0*v\[LetterSpace]12 -1.0*v\[LetterSpace]22 -1.0*v\[LetterSpace]15, Kss1PP'[t] == 1.0*v\[LetterSpace]11 +1.0*v\[LetterSpace]15 -1.0*v\[LetterSpace]16, PREP'[t] == 1.0*v\[LetterSpace]20 -1.0*v\[LetterSpace]29, Ste11'[t] == 1.0*v\[LetterSpace]27 +1.0*v\[LetterSpace]14 -1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]13, Ste11P'[t] == 1.0*v\[LetterSpace]13 -1.0*v\[LetterSpace]14, Ste11Ubi'[t] == 1.0*v\[LetterSpace]7 -1.0*v\[LetterSpace]8, Ste12'[t] == 1.0*v\[LetterSpace]17 +1.0*v\[LetterSpace]28 -1.0*v\[LetterSpace]18 -1.0*v\[LetterSpace]19, Ste12Kss1'[t] == 1.0*v\[LetterSpace]18 -1.0*v\[LetterSpace]17, Ste12P'[t] == 1.0*v\[LetterSpace]19 -1.0*v\[LetterSpace]28, Ste12TeSte5'[t] == 1.0*v\[LetterSpace]30 +1.0*v\[LetterSpace]21 -1.0*v\[LetterSpace]24 -1.0*v\[LetterSpace]23 -1.0*v\[LetterSpace]22, Ste12TeSte5Kss1'[t] == 1.0*v\[LetterSpace]22 -1.0*v\[LetterSpace]21, Ste12TeSte5P'[t] == 1.0*v\[LetterSpace]23 -1.0*v\[LetterSpace]30, Ste5'[t] == 1.0*v\[LetterSpace]27 +1.0*v\[LetterSpace]7 -1.0*v\[LetterSpace]1, Ste5Ste11'[t] == 1.0*v\[LetterSpace]1 -1.0*v\[LetterSpace]2 -1.0*v\[LetterSpace]27, Ste5Ste11Gbg'[t] == 1.0*v\[LetterSpace]2 -1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]9, Ste5Ste11GbgFus3'[t] == 1.0*v\[LetterSpace]3 -1.0*v\[LetterSpace]4, Ste5Ste11GbgFus3P'[t] == 1.0*v\[LetterSpace]4 +1.0*v\[LetterSpace]6 -1.0*v\[LetterSpace]5, Ste5Ste11GbgKss1'[t] == 1.0*v\[LetterSpace]9 -1.0*v\[LetterSpace]10, Ste5Ste11GbgKss1P'[t] == 1.0*v\[LetterSpace]10 +1.0*v\[LetterSpace]12 -1.0*v\[LetterSpace]11, Ste5Ste11GbgP'[t] == 1.0*v\[LetterSpace]11 +1.0*v\[LetterSpace]5 -1.0*v\[LetterSpace]6 -1.0*v\[LetterSpace]7 -1.0*v\[LetterSpace]12
};
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]}]