(* 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 = {
lck\[LetterSpace]active[t], lck\[LetterSpace]inactive[t], phosphatase\[LetterSpace]active[t], phosphatase\[LetterSpace]inactive[t]
};

initialValues = {
lck\[LetterSpace]active[0] == 0.0, lck\[LetterSpace]inactive[0] == 0.0, phosphatase\[LetterSpace]active[0] == 0.6, phosphatase\[LetterSpace]inactive[0] == 0.6
};

rates = {
v1, v10, v2, v3, v4, v5, v6, v7, v8, v9
};

rateEquations = {
v1 -> r\[LetterSpace]l, v10 -> d2*phosphatase\[LetterSpace]active[t], v2 -> n1*lck\[LetterSpace]active[t]*phosphatase\[LetterSpace]active[t], v3 -> k1*lck\[LetterSpace]inactive[t], v4 -> m1*lck\[LetterSpace]active[t]^n*lck\[LetterSpace]inactive[t], v5 -> d0*lck\[LetterSpace]inactive[t], v6 -> d1*lck\[LetterSpace]active[t], v7 -> k2*phosphatase\[LetterSpace]inactive[t], v8 -> m2*lck\[LetterSpace]active[t]*phosphatase\[LetterSpace]inactive[t], v9 -> n2*phosphatase\[LetterSpace]active[t]
};

parameters = {
d0 -> 0.15, d1 -> 0.15, d2 -> 0.0, k1 -> 0.01, k2 -> 0.01, m1 -> 1.0, m2 -> 1.0, n -> 1.95, n1 -> 1.0, n2 -> 0.02, r\[LetterSpace]l -> 0.0, compartment -> 1.0
};

assignments = {
lck\[LetterSpace]total -> lck\[LetterSpace]active[t] + lck\[LetterSpace]inactive[t]
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {
v2->"http://identifiers.org/ec-code/3.1.3.48", v2->"http://identifiers.org/go/GO:0004725"
};

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

(* Time evolution *)
odes = {
lck\[LetterSpace]active'[t] == 1.0*v3 +1.0*v4 -1.0*v2 -1.0*v6, lck\[LetterSpace]inactive'[t] == 1.0*v1 +1.0*v2 -1.0*v3 -1.0*v4 -1.0*v5, phosphatase\[LetterSpace]active'[t] == 1.0*v7 +1.0*v8 -1.0*v9 -1.0*v10, phosphatase\[LetterSpace]inactive'[t] == 1.0*v9 -1.0*v7 -1.0*v8
};
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]}]