(* 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 = {
Cdc20[t], Cdc20\[LetterSpace]CMad2[t], Mad1\[LetterSpace]CMad2[t], Mad1\[LetterSpace]CMad2\[LetterSpace]OMad2[t], OMad2[t]
};

initialValues = {
Cdc20[0] == 2.2*^-07, Cdc20\[LetterSpace]CMad2[0] == 0.0, Mad1\[LetterSpace]CMad2[0] == 5*^-08, Mad1\[LetterSpace]CMad2\[LetterSpace]OMad2[0] == 0.0, OMad2[0] == 1.5*^-07
};

rates = {
R6, R7, R8
};

rateEquations = {
R6 -> Cytoplasm*(-(beta\[LetterSpace]T*Mad1\[LetterSpace]CMad2\[LetterSpace]OMad2[t]) + alpha\[LetterSpace]T*u*Mad1\[LetterSpace]CMad2[t]*OMad2[t]), R7 -> Cytoplasm*gamma\[LetterSpace]T*u*Cdc20[t]*Mad1\[LetterSpace]CMad2\[LetterSpace]OMad2[t], R8 -> Cytoplasm*eta\[LetterSpace]T*Cdc20\[LetterSpace]CMad2[t]
};

parameters = {
alpha\[LetterSpace]T -> 200000.0, beta\[LetterSpace]T -> 0.2, const\[LetterSpace]val\[LetterSpace]0 -> 0.0, const\[LetterSpace]val\[LetterSpace]1 -> 1.0, eta\[LetterSpace]T -> 0.01, gamma\[LetterSpace]T -> 1000000000.0, u -> 1.0, Cytoplasm -> 1.0
};

assignments = {

};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

units = {
{"time" -> "", "metabolite" -> "mole/<compartment size units>", "extent" -> "mole/<compartment size units>"}
};

(* Time evolution *)
odes = {
Cdc20'[t] == 1.0*R8 -1.0*R7, Cdc20\[LetterSpace]CMad2'[t] == 1.0*R7 -1.0*R8, Mad1\[LetterSpace]CMad2'[t] == 1.0*R7 -1.0*R6, Mad1\[LetterSpace]CMad2\[LetterSpace]OMad2'[t] == 1.0*R6 -1.0*R7, OMad2'[t] == 1.0*R8 -1.0*R6
};
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]}]