(* 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 = { species\[LetterSpace]0[t], species\[LetterSpace]1[t], species\[LetterSpace]10[t], species\[LetterSpace]11[t], species\[LetterSpace]12[t], species\[LetterSpace]13[t], species\[LetterSpace]14[t], species\[LetterSpace]15[t], species\[LetterSpace]2[t], species\[LetterSpace]3[t], species\[LetterSpace]4[t], species\[LetterSpace]5[t], species\[LetterSpace]6[t], species\[LetterSpace]7[t], species\[LetterSpace]8[t], species\[LetterSpace]9[t] }; initialValues = { species\[LetterSpace]0[0] == 9.5, species\[LetterSpace]1[0] == 2.0, species\[LetterSpace]10[0] == 0.0, species\[LetterSpace]11[0] == 0.0, species\[LetterSpace]12[0] == 1.0, species\[LetterSpace]13[0] == 0.0, species\[LetterSpace]14[0] == 0.0, species\[LetterSpace]15[0] == 0.0, species\[LetterSpace]2[0] == 0.0, species\[LetterSpace]3[0] == 1.9, species\[LetterSpace]4[0] == 0.0, species\[LetterSpace]5[0] == 1.7, species\[LetterSpace]6[0] == 0.0, species\[LetterSpace]7[0] == 2.5, species\[LetterSpace]8[0] == 0.0, species\[LetterSpace]9[0] == 0.0 }; rates = { reaction\[LetterSpace]0, reaction\[LetterSpace]1, reaction\[LetterSpace]10, reaction\[LetterSpace]11, reaction\[LetterSpace]12, reaction\[LetterSpace]13, reaction\[LetterSpace]14, reaction\[LetterSpace]15, reaction\[LetterSpace]16, reaction\[LetterSpace]17, reaction\[LetterSpace]18, reaction\[LetterSpace]19, reaction\[LetterSpace]2, reaction\[LetterSpace]20, reaction\[LetterSpace]21, reaction\[LetterSpace]22, reaction\[LetterSpace]23, reaction\[LetterSpace]24, reaction\[LetterSpace]25, reaction\[LetterSpace]26, reaction\[LetterSpace]27, reaction\[LetterSpace]28, reaction\[LetterSpace]29, reaction\[LetterSpace]3, reaction\[LetterSpace]30, reaction\[LetterSpace]31, reaction\[LetterSpace]32, reaction\[LetterSpace]33, reaction\[LetterSpace]34, reaction\[LetterSpace]35, reaction\[LetterSpace]36, reaction\[LetterSpace]37, reaction\[LetterSpace]38, reaction\[LetterSpace]39, reaction\[LetterSpace]4, reaction\[LetterSpace]40, reaction\[LetterSpace]41, reaction\[LetterSpace]42, reaction\[LetterSpace]43, reaction\[LetterSpace]44, reaction\[LetterSpace]45, reaction\[LetterSpace]46, reaction\[LetterSpace]47, reaction\[LetterSpace]5, reaction\[LetterSpace]6, reaction\[LetterSpace]7, reaction\[LetterSpace]8, reaction\[LetterSpace]9 }; rateEquations = { reaction\[LetterSpace]0 -> cell*function\[LetterSpace]0[reaction\[LetterSpace]0\[LetterSpace]vsb, reaction\[LetterSpace]0\[LetterSpace]K, reaction\[LetterSpace]0\[LetterSpace]m, species\[LetterSpace]3[t]], reaction\[LetterSpace]1 -> cell*function\[LetterSpace]1[reaction\[LetterSpace]1\[LetterSpace]k, species\[LetterSpace]0[t]], reaction\[LetterSpace]10 -> cell*function\[LetterSpace]1[reaction\[LetterSpace]10\[LetterSpace]k, species\[LetterSpace]7[t]], reaction\[LetterSpace]11 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]11\[LetterSpace]V, species\[LetterSpace]9[t], reaction\[LetterSpace]11\[LetterSpace]Km], reaction\[LetterSpace]12 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]12\[LetterSpace]V, species\[LetterSpace]8[t], reaction\[LetterSpace]12\[LetterSpace]Km], reaction\[LetterSpace]13 -> cell*(-(reaction\[LetterSpace]13\[LetterSpace]k2*species\[LetterSpace]10[t]) + reaction\[LetterSpace]13\[LetterSpace]k1*species\[LetterSpace]4[t]*species\[LetterSpace]8[t]), reaction\[LetterSpace]14 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]14\[LetterSpace]V, species\[LetterSpace]10[t], reaction\[LetterSpace]14\[LetterSpace]Km], reaction\[LetterSpace]15 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]15\[LetterSpace]V, species\[LetterSpace]11[t], reaction\[LetterSpace]15\[LetterSpace]Km], reaction\[LetterSpace]16 -> cell*(reaction\[LetterSpace]16\[LetterSpace]k1*species\[LetterSpace]10[t] - reaction\[LetterSpace]16\[LetterSpace]k2*species\[LetterSpace]12[t]), reaction\[LetterSpace]17 -> cell*reaction\[LetterSpace]17\[LetterSpace]k1*species\[LetterSpace]14[t], reaction\[LetterSpace]18 -> cell*reaction\[LetterSpace]18\[LetterSpace]k1*species\[LetterSpace]2[t], reaction\[LetterSpace]19 -> cell*reaction\[LetterSpace]19\[LetterSpace]k1*species\[LetterSpace]13[t], reaction\[LetterSpace]2 -> cell*reaction\[LetterSpace]2\[LetterSpace]k1*species\[LetterSpace]0[t], reaction\[LetterSpace]20 -> cell*function\[LetterSpace]3[reaction\[LetterSpace]20\[LetterSpace]Vs, species\[LetterSpace]3[t], reaction\[LetterSpace]20\[LetterSpace]n, reaction\[LetterSpace]20\[LetterSpace]K], reaction\[LetterSpace]21 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]21\[LetterSpace]V, species\[LetterSpace]12[t], reaction\[LetterSpace]21\[LetterSpace]Km], reaction\[LetterSpace]22 -> cell*reaction\[LetterSpace]22\[LetterSpace]k1*species\[LetterSpace]7[t], reaction\[LetterSpace]23 -> cell*(-(reaction\[LetterSpace]23\[LetterSpace]k2*species\[LetterSpace]15[t]) + reaction\[LetterSpace]23\[LetterSpace]k1*species\[LetterSpace]12[t]*species\[LetterSpace]3[t]), reaction\[LetterSpace]24 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]24\[LetterSpace]V, species\[LetterSpace]0[t], reaction\[LetterSpace]24\[LetterSpace]Km], reaction\[LetterSpace]25 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]25\[LetterSpace]V, species\[LetterSpace]5[t], reaction\[LetterSpace]25\[LetterSpace]Km], reaction\[LetterSpace]26 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]26\[LetterSpace]V, species\[LetterSpace]7[t], reaction\[LetterSpace]26\[LetterSpace]Km], reaction\[LetterSpace]27 -> cell*reaction\[LetterSpace]27\[LetterSpace]k1*species\[LetterSpace]8[t], reaction\[LetterSpace]28 -> cell*reaction\[LetterSpace]28\[LetterSpace]k1*species\[LetterSpace]4[t], reaction\[LetterSpace]29 -> cell*reaction\[LetterSpace]29\[LetterSpace]k1*species\[LetterSpace]9[t], reaction\[LetterSpace]3 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]3\[LetterSpace]V, species\[LetterSpace]1[t], reaction\[LetterSpace]3\[LetterSpace]Km], reaction\[LetterSpace]30 -> cell*reaction\[LetterSpace]30\[LetterSpace]k1*species\[LetterSpace]6[t], reaction\[LetterSpace]31 -> cell*reaction\[LetterSpace]31\[LetterSpace]k1*species\[LetterSpace]11[t], reaction\[LetterSpace]32 -> cell*reaction\[LetterSpace]32\[LetterSpace]k1*species\[LetterSpace]10[t], reaction\[LetterSpace]33 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]33\[LetterSpace]V, species\[LetterSpace]14[t], reaction\[LetterSpace]33\[LetterSpace]Km], reaction\[LetterSpace]34 -> cell*reaction\[LetterSpace]34\[LetterSpace]k1*species\[LetterSpace]1[t], reaction\[LetterSpace]35 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]35\[LetterSpace]V, species\[LetterSpace]2[t], reaction\[LetterSpace]35\[LetterSpace]Km], reaction\[LetterSpace]36 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]36\[LetterSpace]V, species\[LetterSpace]3[t], reaction\[LetterSpace]36\[LetterSpace]Km], reaction\[LetterSpace]37 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]37\[LetterSpace]V, species\[LetterSpace]13[t], reaction\[LetterSpace]37\[LetterSpace]Km], reaction\[LetterSpace]38 -> cell*reaction\[LetterSpace]38\[LetterSpace]k1*species\[LetterSpace]15[t], reaction\[LetterSpace]39 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]39\[LetterSpace]V, species\[LetterSpace]15[t], reaction\[LetterSpace]39\[LetterSpace]Km], reaction\[LetterSpace]4 -> cell*(reaction\[LetterSpace]4\[LetterSpace]k1*species\[LetterSpace]1[t] - reaction\[LetterSpace]4\[LetterSpace]k2*species\[LetterSpace]3[t]), reaction\[LetterSpace]40 -> cell*reaction\[LetterSpace]40\[LetterSpace]k1*species\[LetterSpace]3[t], reaction\[LetterSpace]41 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]41\[LetterSpace]V, species\[LetterSpace]2[t], reaction\[LetterSpace]41\[LetterSpace]Km], reaction\[LetterSpace]42 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]42\[LetterSpace]V, species\[LetterSpace]13[t], reaction\[LetterSpace]42\[LetterSpace]Km], reaction\[LetterSpace]43 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]43\[LetterSpace]V, species\[LetterSpace]6[t], reaction\[LetterSpace]43\[LetterSpace]Km], reaction\[LetterSpace]44 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]44\[LetterSpace]V, species\[LetterSpace]9[t], reaction\[LetterSpace]44\[LetterSpace]Km], reaction\[LetterSpace]45 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]45\[LetterSpace]V, species\[LetterSpace]14[t], reaction\[LetterSpace]45\[LetterSpace]Km], reaction\[LetterSpace]46 -> cell*reaction\[LetterSpace]46\[LetterSpace]k1*species\[LetterSpace]12[t], reaction\[LetterSpace]47 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]47\[LetterSpace]V, species\[LetterSpace]11[t], reaction\[LetterSpace]47\[LetterSpace]Km], reaction\[LetterSpace]5 -> cell*function\[LetterSpace]1[reaction\[LetterSpace]5\[LetterSpace]k, species\[LetterSpace]5[t]], reaction\[LetterSpace]6 -> cell*reaction\[LetterSpace]6\[LetterSpace]k1*species\[LetterSpace]5[t], reaction\[LetterSpace]7 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]7\[LetterSpace]V, species\[LetterSpace]4[t], reaction\[LetterSpace]7\[LetterSpace]Km], reaction\[LetterSpace]8 -> cell*function\[LetterSpace]2[reaction\[LetterSpace]8\[LetterSpace]V, species\[LetterSpace]6[t], reaction\[LetterSpace]8\[LetterSpace]Km], reaction\[LetterSpace]9 -> cell*function\[LetterSpace]3[parameter\[LetterSpace]0000082, species\[LetterSpace]3[t], reaction\[LetterSpace]9\[LetterSpace]n, reaction\[LetterSpace]9\[LetterSpace]K] }; parameters = { reaction\[LetterSpace]0\[LetterSpace]vsb -> 1.0, reaction\[LetterSpace]0\[LetterSpace]K -> 2.2, reaction\[LetterSpace]0\[LetterSpace]m -> 2.0, reaction\[LetterSpace]1\[LetterSpace]k -> 0.12, reaction\[LetterSpace]7\[LetterSpace]V -> 0.6, reaction\[LetterSpace]2\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]3\[LetterSpace]V -> 0.5, reaction\[LetterSpace]3\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]4\[LetterSpace]k1 -> 0.4, reaction\[LetterSpace]4\[LetterSpace]k2 -> 0.2, reaction\[LetterSpace]5\[LetterSpace]k -> 1.6, reaction\[LetterSpace]6\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]7\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]8\[LetterSpace]V -> 0.7, reaction\[LetterSpace]8\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]9\[LetterSpace]n -> 4.0, reaction\[LetterSpace]9\[LetterSpace]K -> 0.7, reaction\[LetterSpace]10\[LetterSpace]k -> 0.6, reaction\[LetterSpace]11\[LetterSpace]V -> 0.7, reaction\[LetterSpace]11\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]15\[LetterSpace]V -> 0.7, reaction\[LetterSpace]15\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]16\[LetterSpace]k1 -> 0.4, reaction\[LetterSpace]16\[LetterSpace]k2 -> 0.2, reaction\[LetterSpace]17\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]18\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]19\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]20\[LetterSpace]Vs -> 1.1, reaction\[LetterSpace]20\[LetterSpace]n -> 4.0, reaction\[LetterSpace]20\[LetterSpace]K -> 0.6, reaction\[LetterSpace]21\[LetterSpace]V -> 0.4, reaction\[LetterSpace]21\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]22\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]23\[LetterSpace]k1 -> 0.5, reaction\[LetterSpace]23\[LetterSpace]k2 -> 0.1, reaction\[LetterSpace]24\[LetterSpace]V -> 0.8, reaction\[LetterSpace]24\[LetterSpace]Km -> 0.4, reaction\[LetterSpace]25\[LetterSpace]V -> 1.0, reaction\[LetterSpace]25\[LetterSpace]Km -> 0.4, reaction\[LetterSpace]26\[LetterSpace]V -> 1.1, reaction\[LetterSpace]26\[LetterSpace]Km -> 0.31, reaction\[LetterSpace]27\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]28\[LetterSpace]k1 -> 0.12, reaction\[LetterSpace]29\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]30\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]31\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]32\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]33\[LetterSpace]V -> 0.7, reaction\[LetterSpace]33\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]34\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]35\[LetterSpace]V -> 0.5, reaction\[LetterSpace]35\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]36\[LetterSpace]V -> 0.5, reaction\[LetterSpace]36\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]37\[LetterSpace]V -> 0.6, reaction\[LetterSpace]37\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]38\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]39\[LetterSpace]V -> 0.8, reaction\[LetterSpace]39\[LetterSpace]Km -> 0.3, reaction\[LetterSpace]40\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]41\[LetterSpace]V -> 0.1, reaction\[LetterSpace]41\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]42\[LetterSpace]V -> 0.2, reaction\[LetterSpace]42\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]43\[LetterSpace]V -> 0.1, reaction\[LetterSpace]43\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]44\[LetterSpace]V -> 0.3, reaction\[LetterSpace]44\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]45\[LetterSpace]V -> 0.1, reaction\[LetterSpace]45\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]46\[LetterSpace]k1 -> 0.01, reaction\[LetterSpace]47\[LetterSpace]V -> 0.1, reaction\[LetterSpace]47\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]12\[LetterSpace]V -> 0.4, reaction\[LetterSpace]12\[LetterSpace]Km -> 0.1, reaction\[LetterSpace]13\[LetterSpace]k1 -> 0.4, reaction\[LetterSpace]13\[LetterSpace]k2 -> 0.2, reaction\[LetterSpace]14\[LetterSpace]V -> 0.4, reaction\[LetterSpace]14\[LetterSpace]Km -> 0.1, cell -> 1.0 }; assignments = { functionDefinition\[LetterSpace]0000005[length_] -> Ceiling[Sin[0.001 + (Pi*t)/length]/2], function\[LetterSpace]0[vsb_,K_,m_,Bn_] -> (K^m*vsb)/(Bn^m + K^m), function\[LetterSpace]1[k_,mRNA_] -> k*mRNA, function\[LetterSpace]2[V_,substrate_,Km_] -> (substrate*V)/(Km + substrate), function\[LetterSpace]3[Vs_,B_,n_,K_] -> (B^n*Vs)/(B^n + K^n), parameter\[LetterSpace]0000082 -> 1.5 + 0.30000000000000004*functionDefinition\[LetterSpace]0000005[12], parameter\[LetterSpace]0000081 -> functionDefinition\[LetterSpace]0000005[12] }; events = { }; speciesAnnotations = { }; reactionAnnotations = { reaction\[LetterSpace]9->"http://identifiers.org/obo.go/GO:0045893" }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { species\[LetterSpace]0'[t] == 1.0*reaction\[LetterSpace]0 -1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]24, species\[LetterSpace]1'[t] == 1.0*reaction\[LetterSpace]1 +1.0*reaction\[LetterSpace]41 -1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]34, species\[LetterSpace]10'[t] == 1.0*reaction\[LetterSpace]13 +1.0*reaction\[LetterSpace]47 -1.0*reaction\[LetterSpace]14 -1.0*reaction\[LetterSpace]16 -1.0*reaction\[LetterSpace]32, species\[LetterSpace]11'[t] == 1.0*reaction\[LetterSpace]14 -1.0*reaction\[LetterSpace]15 -1.0*reaction\[LetterSpace]31 -1.0*reaction\[LetterSpace]47, species\[LetterSpace]12'[t] == 1.0*reaction\[LetterSpace]16 +1.0*reaction\[LetterSpace]45 -1.0*reaction\[LetterSpace]21 -1.0*reaction\[LetterSpace]23 -1.0*reaction\[LetterSpace]46, species\[LetterSpace]13'[t] == 1.0*reaction\[LetterSpace]36 -1.0*reaction\[LetterSpace]19 -1.0*reaction\[LetterSpace]37 -1.0*reaction\[LetterSpace]42, species\[LetterSpace]14'[t] == 1.0*reaction\[LetterSpace]21 -1.0*reaction\[LetterSpace]17 -1.0*reaction\[LetterSpace]33 -1.0*reaction\[LetterSpace]45, species\[LetterSpace]15'[t] == 1.0*reaction\[LetterSpace]23 -1.0*reaction\[LetterSpace]38 -1.0*reaction\[LetterSpace]39, species\[LetterSpace]2'[t] == 1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]18 -1.0*reaction\[LetterSpace]35 -1.0*reaction\[LetterSpace]41, species\[LetterSpace]3'[t] == 1.0*reaction\[LetterSpace]4 +1.0*reaction\[LetterSpace]42 -1.0*reaction\[LetterSpace]23 -1.0*reaction\[LetterSpace]36 -1.0*reaction\[LetterSpace]40, species\[LetterSpace]4'[t] == 1.0*reaction\[LetterSpace]5 +1.0*reaction\[LetterSpace]43 -1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]13 -1.0*reaction\[LetterSpace]28, species\[LetterSpace]5'[t] == 1.0*reaction\[LetterSpace]20 -1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]25, species\[LetterSpace]6'[t] == 1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]8 -1.0*reaction\[LetterSpace]30 -1.0*reaction\[LetterSpace]43, species\[LetterSpace]7'[t] == 1.0*reaction\[LetterSpace]9 -1.0*reaction\[LetterSpace]22 -1.0*reaction\[LetterSpace]26, species\[LetterSpace]8'[t] == 1.0*reaction\[LetterSpace]10 +1.0*reaction\[LetterSpace]44 -1.0*reaction\[LetterSpace]12 -1.0*reaction\[LetterSpace]13 -1.0*reaction\[LetterSpace]27, species\[LetterSpace]9'[t] == 1.0*reaction\[LetterSpace]12 -1.0*reaction\[LetterSpace]11 -1.0*reaction\[LetterSpace]29 -1.0*reaction\[LetterSpace]44 }; 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]}]