(* 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 = {
C1[t], C2[t], X2[t], M2[t], X1[t], M1[t]
};

initialValues = {
X2[0] == 0.0, M2[0] == 0.0, X1[0] == 0.0, M1[0] == 1.0, C1[0] == 2.0, C2[0] == 0.0
};

rates = {
R1, R10, R2, R3, R8, R9
};

rateEquations = {
R1 -> (compartment*Kim1*vi1)/(Kim1 + M2[t]), R10 -> compartment*kd2*C2[t], R2 -> (compartment*vd1*C1[t]*X1[t])/(K\[LetterSpace]d1 + C1[t]), R3 -> compartment*kd1*C1[t], R8 -> (compartment*Kim2*vi2)/(Kim2 + M1[t]), R9 -> (compartment*vd2*C2[t]*X2[t])/(K\[LetterSpace]d2 + C2[t])
};

parameters = {
H1 -> 0.01, H2 -> 0.01, H3 -> 0.01, H4 -> 0.01, K1 -> 0.01, K2 -> 0.01, K3 -> 0.01, K4 -> 0.01, K\[LetterSpace]d1 -> 0.02, K\[LetterSpace]d2 -> 0.02, Kc1 -> 0.5, Kc2 -> 0.5, Kim1 -> 0.03, Kim2 -> 0.03, U2 -> 0.15, U4 -> 0.05, U\[LetterSpace]M1 -> 0.3, U\[LetterSpace]M3 -> 0.1, V2 -> 0.15, V4 -> 0.05, V\[LetterSpace]M1 -> 0.3, V\[LetterSpace]M3 -> 0.1, kd1 -> 0.001, kd2 -> 0.001, vd1 -> 0.025, vd2 -> 0.025, vi1 -> 0.05, vi2 -> 0.05, compartment -> 1.0
};

assignments = {
U3 -> U\[LetterSpace]M3*M2[t], U1 -> (U\[LetterSpace]M1*C2[t])/(Kc2 + C2[t]), V3 -> V\[LetterSpace]M3*M1[t], V1 -> (V\[LetterSpace]M1*C1[t])/(Kc1 + C1[t])
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

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

(* Time evolution *)
odes = {
C1'[t] == 1.0*R1 -1.0*R2 -1.0*R3, C2'[t] == 1.0*R8 -1.0*R9 -1.0*R10, X2'[t] == (U3*(1 - X2[t]))/(1 + H3 - X2[t]) - (U4*X2[t])/(H4 + X2[t]), M2'[t] == (U1*(1 - M2[t]))/(1 + H1 - M2[t]) - (U2*M2[t])/(H2 + M2[t]), X1'[t] == (V3*(1 - X1[t]))/(1 + K3 - X1[t]) - (V4*X1[t])/(K4 + X1[t]), M1'[t] == (V1*(1 - M1[t]))/(1 + K1 - M1[t]) - (V2*M1[t])/(K2 + M1[t])
};
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]}]