(* 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 = { E[t], E\[LetterSpace]M[t], E\[LetterSpace]P2[t], E\[LetterSpace]P\[LetterSpace]1[t], E\[LetterSpace]P\[LetterSpace]2[t], M[t], P[t], P2[t], T[t] }; initialValues = { E[0] == 0.00015, E\[LetterSpace]M[0] == 0.0, E\[LetterSpace]P2[0] == 0.0, E\[LetterSpace]P\[LetterSpace]1[0] == 0.0, E\[LetterSpace]P\[LetterSpace]2[0] == 0.0, M[0] == 0.0, P[0] == 1.0, P2[0] == 0.0, T[0] == 0.0 }; rates = { r1, r12, r14, r2, r5, r7, r8, r9 }; rateEquations = { r1 -> compartment*(-(j1*E\[LetterSpace]P\[LetterSpace]1[t]) + k1*E[t]*P[t]), r12 -> compartment*(-(j7a*E\[LetterSpace]P2[t]) + k7a*E[t]*P2[t]), r14 -> compartment*k8a*E\[LetterSpace]P2[t], r2 -> compartment*k2*E\[LetterSpace]P\[LetterSpace]1[t], r5 -> compartment*(-(j3a*E\[LetterSpace]M[t]) + k3a*E[t]*M[t]), r7 -> compartment*k4a*E\[LetterSpace]M[t], r8 -> compartment*(-(j5*E\[LetterSpace]P\[LetterSpace]2[t]) + k5*E[t]*P[t]), r9 -> compartment*k6*E\[LetterSpace]P\[LetterSpace]2[t] }; parameters = { j1 -> 33.4, j3a -> 0.185, j5 -> 21.8, j7a -> 2.66*^-05, k1 -> 91.8, k2 -> 82.4, k3a -> 151.5, k4a -> 209.9, k5 -> 5.16, k6 -> 32.3, k7a -> 4.7, k8a -> 42.6, compartment -> 1.0 }; assignments = { }; events = { }; speciesAnnotations = { }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { E'[t] == 1.0*r2 +1.0*r7 +1.0*r9 +1.0*r14 -1.0*r1 -1.0*r5 -1.0*r8 -1.0*r12, E\[LetterSpace]M'[t] == 1.0*r5 -1.0*r7, E\[LetterSpace]P2'[t] == 1.0*r12 -1.0*r14, E\[LetterSpace]P\[LetterSpace]1'[t] == 1.0*r1 -1.0*r2, E\[LetterSpace]P\[LetterSpace]2'[t] == 1.0*r8 -1.0*r9, M'[t] == 1.0*r2 -1.0*r5, P'[t] == -1.0*r1 -1.0*r8, P2'[t] == 1.0*r9 -1.0*r12, T'[t] == 1.0*r7 +1.0*r14 }; 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]}]