(* 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 = { ES[t], X[t] }; initialValues = { ES[0] == 0.0, X[0] == 0.0 }; rates = { Reaction1, Reaction2, Reaction6, Reaction7 }; rateEquations = { Reaction1 -> (A*default*k1*(-1 + X[t])*X[t])/V, Reaction2 -> (default*k2*(-2 + X[t])*(-1 + X[t])*X[t])/V^2, Reaction6 -> B*default*k3*V, Reaction7 -> default*k4*X[t] }; parameters = { A -> 1.0, B -> 2.0, V -> 25.0, k1 -> 3.0, k2 -> 0.6, k3 -> 0.25, k4 -> 2.95, value -> 1.0, default -> 1.0 }; assignments = { }; events = { }; speciesAnnotations = { }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { ES'[t] == 1.0*Reaction2 +1.0*Reaction7 -1.0*Reaction1 -1.0*Reaction6, X'[t] == 1.0*Reaction1 +1.0*Reaction6 -1.0*Reaction2 -1.0*Reaction7 }; 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]}]