(* 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 = {
P1[t], P2[t], Target[t]
};

initialValues = {
P1[0] == 0.0, P2[0] == 0.0, Target[0] == 0.0
};

rates = {
\[LetterSpace]\[LetterSpace]\[LetterSpace]r1, \[LetterSpace]\[LetterSpace]\[LetterSpace]r2, \[LetterSpace]\[LetterSpace]\[LetterSpace]r3, \[LetterSpace]\[LetterSpace]\[LetterSpace]r4, \[LetterSpace]\[LetterSpace]\[LetterSpace]r5, \[LetterSpace]\[LetterSpace]\[LetterSpace]r6
};

rateEquations = {
\[LetterSpace]\[LetterSpace]\[LetterSpace]r1 -> ((k0 + (dsp1p2kd/ka)^h)*ks)/(1 + (dsp1p2kd/ka)^h), \[LetterSpace]\[LetterSpace]\[LetterSpace]r2 -> \[LetterSpace]\[LetterSpace]\[LetterSpace]r2\[LetterSpace]\[LetterSpace]\[LetterSpace]RATE\[LetterSpace]\[LetterSpace]*P1[t], \[LetterSpace]\[LetterSpace]\[LetterSpace]r3 -> ((k0 + (dsp1p2kd/ka)^h)*ks)/(1 + (dsp1p2kd/ka)^h), \[LetterSpace]\[LetterSpace]\[LetterSpace]r4 -> \[LetterSpace]\[LetterSpace]\[LetterSpace]r4\[LetterSpace]\[LetterSpace]\[LetterSpace]RATE\[LetterSpace]\[LetterSpace]*P2[t], \[LetterSpace]\[LetterSpace]\[LetterSpace]r5 -> ((k0 + (dsp1p2kd/ka)^h)*ks)/(1 + (dsp1p2kd/ka)^h), \[LetterSpace]\[LetterSpace]\[LetterSpace]r6 -> \[LetterSpace]\[LetterSpace]\[LetterSpace]r6\[LetterSpace]\[LetterSpace]\[LetterSpace]RATE\[LetterSpace]\[LetterSpace]*Target[t]
};

parameters = {
Kd -> 1*^-05, Ksp -> 0.001, h -> 2.0, k0 -> 0.1, ka -> 40.0, ks -> 10.0, ku -> 0.1, s -> 1000.0, \[LetterSpace]\[LetterSpace]\[LetterSpace]r2\[LetterSpace]\[LetterSpace]\[LetterSpace]RATE\[LetterSpace]\[LetterSpace] -> 0.1, \[LetterSpace]\[LetterSpace]\[LetterSpace]r4\[LetterSpace]\[LetterSpace]\[LetterSpace]RATE\[LetterSpace]\[LetterSpace] -> 0.1, \[LetterSpace]\[LetterSpace]\[LetterSpace]r6\[LetterSpace]\[LetterSpace]\[LetterSpace]RATE\[LetterSpace]\[LetterSpace] -> 0.1, univ -> 1.0
};

assignments = {
dsp1p2kd -> (Kd*(1 + (dsp1ksp + univ*P2[t])/Kd - ((-4*dsp1ksp*univ*P2[t])/Kd^2 + (1 + (dsp1ksp + univ*P2[t])/Kd)^2)^0.5))/2, dsp1ksp -> (Ksp*(1 + (s + univ*P1[t])/Ksp - ((-4*s*univ*P1[t])/Ksp^2 + (1 + (s + univ*P1[t])/Ksp)^2)^0.5))/2
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
P1'[t] == 1.0*\[LetterSpace]\[LetterSpace]\[LetterSpace]r1 -1.0*\[LetterSpace]\[LetterSpace]\[LetterSpace]r2, P2'[t] == 1.0*\[LetterSpace]\[LetterSpace]\[LetterSpace]r3 -1.0*\[LetterSpace]\[LetterSpace]\[LetterSpace]r4, Target'[t] == 1.0*\[LetterSpace]\[LetterSpace]\[LetterSpace]r5 -1.0*\[LetterSpace]\[LetterSpace]\[LetterSpace]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]}]