(* 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 = { T[t], V[t] }; initialValues = { T[0] == 1000.0, V[0] == 3.0 }; rates = { v1, v2, v3, v4, v5, v6 }; rateEquations = { v1 -> s1, v2 -> (s2*V[t])/(b1 + V[t]), v3 -> mu*T[t], v4 -> k*T[t]*V[t], v5 -> (g*V[t])/(b2 + V[t]), v6 -> c*T[t]*V[t] }; parameters = { b1 -> 14.0, b2 -> 1.0, c -> 0.007, g -> 30.0, k -> 0.00025, mu -> 0.002, s1 -> 2.0, s2 -> 1.5, default -> 1.0 }; assignments = { VMULTIPLIED -> 1000*V[t] }; events = { }; speciesAnnotations = { }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { T'[t] == 1.0*v1 -1.0*v4 -1.0*v3 -1.0*v2, V'[t] == 1.0*v5 -1.0*v6 }; 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]}]