(* 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]16[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] == 0.0, species\[LetterSpace]1[0] == 1*^-08, species\[LetterSpace]10[0] == 0.0, species\[LetterSpace]11[0] == 0.0, species\[LetterSpace]12[0] == 0.0, species\[LetterSpace]13[0] == 0.0, species\[LetterSpace]14[0] == 0.0, species\[LetterSpace]15[0] == 0.0, species\[LetterSpace]16[0] == 0.0, species\[LetterSpace]2[0] == 0.0, species\[LetterSpace]3[0] == 0.000468, species\[LetterSpace]4[0] == 1*^-06, species\[LetterSpace]5[0] == 0.0, species\[LetterSpace]6[0] == 0.0, species\[LetterSpace]7[0] == 0.0044, species\[LetterSpace]8[0] == 0.000149, 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]3, reaction\[LetterSpace]4, reaction\[LetterSpace]5, reaction\[LetterSpace]6, reaction\[LetterSpace]7, reaction\[LetterSpace]8, reaction\[LetterSpace]9 }; rateEquations = { reaction\[LetterSpace]0 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]0\[LetterSpace]k1*species\[LetterSpace]0[t]*species\[LetterSpace]1[t] - reaction\[LetterSpace]0\[LetterSpace]k2*species\[LetterSpace]2[t]), reaction\[LetterSpace]1 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]1\[LetterSpace]k1*species\[LetterSpace]1[t]*species\[LetterSpace]3[t] - reaction\[LetterSpace]1\[LetterSpace]k2*species\[LetterSpace]5[t]), reaction\[LetterSpace]10 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]10\[LetterSpace]k1*species\[LetterSpace]10[t] - reaction\[LetterSpace]10\[LetterSpace]k2*species\[LetterSpace]13[t]*species\[LetterSpace]7[t]), reaction\[LetterSpace]11 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]11\[LetterSpace]k1*species\[LetterSpace]13[t] - reaction\[LetterSpace]11\[LetterSpace]k2*species\[LetterSpace]8[t]*species\[LetterSpace]9[t]), reaction\[LetterSpace]12 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]12\[LetterSpace]k2*species\[LetterSpace]11[t]) + reaction\[LetterSpace]12\[LetterSpace]k1*species\[LetterSpace]2[t]*species\[LetterSpace]3[t]), reaction\[LetterSpace]13 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]13\[LetterSpace]k1*species\[LetterSpace]11[t] - reaction\[LetterSpace]13\[LetterSpace]k2*species\[LetterSpace]12[t]*species\[LetterSpace]7[t]), reaction\[LetterSpace]14 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]14\[LetterSpace]k1*species\[LetterSpace]12[t] - reaction\[LetterSpace]14\[LetterSpace]k2*species\[LetterSpace]2[t]*species\[LetterSpace]8[t]), reaction\[LetterSpace]15 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]15\[LetterSpace]k2*species\[LetterSpace]14[t]) + reaction\[LetterSpace]15\[LetterSpace]k1*species\[LetterSpace]0[t]*species\[LetterSpace]9[t]), reaction\[LetterSpace]16 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]16\[LetterSpace]k2*species\[LetterSpace]14[t]) + reaction\[LetterSpace]16\[LetterSpace]k1*species\[LetterSpace]2[t]*species\[LetterSpace]4[t]), reaction\[LetterSpace]17 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]17\[LetterSpace]k2*species\[LetterSpace]15[t]) + reaction\[LetterSpace]17\[LetterSpace]k1*species\[LetterSpace]14[t]*species\[LetterSpace]3[t]), reaction\[LetterSpace]18 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]18\[LetterSpace]k2*species\[LetterSpace]15[t]) + reaction\[LetterSpace]18\[LetterSpace]k1*species\[LetterSpace]11[t]*species\[LetterSpace]4[t]), reaction\[LetterSpace]19 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]19\[LetterSpace]k1*species\[LetterSpace]0[t]*species\[LetterSpace]10[t] - reaction\[LetterSpace]19\[LetterSpace]k2*species\[LetterSpace]15[t]), reaction\[LetterSpace]2 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]2\[LetterSpace]k1*species\[LetterSpace]1[t]*species\[LetterSpace]4[t] - reaction\[LetterSpace]2\[LetterSpace]k2*species\[LetterSpace]9[t]), reaction\[LetterSpace]20 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]20\[LetterSpace]k1*species\[LetterSpace]15[t] - reaction\[LetterSpace]20\[LetterSpace]k2*species\[LetterSpace]16[t]*species\[LetterSpace]7[t]), reaction\[LetterSpace]21 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]21\[LetterSpace]k1*species\[LetterSpace]0[t]*species\[LetterSpace]13[t] - reaction\[LetterSpace]21\[LetterSpace]k2*species\[LetterSpace]16[t]), reaction\[LetterSpace]22 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]22\[LetterSpace]k2*species\[LetterSpace]16[t]) + reaction\[LetterSpace]22\[LetterSpace]k1*species\[LetterSpace]12[t]*species\[LetterSpace]4[t]), reaction\[LetterSpace]23 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]23\[LetterSpace]k1*species\[LetterSpace]16[t] - reaction\[LetterSpace]23\[LetterSpace]k2*species\[LetterSpace]14[t]*species\[LetterSpace]8[t]), reaction\[LetterSpace]3 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]3\[LetterSpace]k1*species\[LetterSpace]5[t] - reaction\[LetterSpace]3\[LetterSpace]k2*species\[LetterSpace]6[t]*species\[LetterSpace]7[t]), reaction\[LetterSpace]4 -> compartment\[LetterSpace]0*(reaction\[LetterSpace]4\[LetterSpace]k1*species\[LetterSpace]6[t] - reaction\[LetterSpace]4\[LetterSpace]k2*species\[LetterSpace]1[t]*species\[LetterSpace]8[t]), reaction\[LetterSpace]5 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]5\[LetterSpace]k2*species\[LetterSpace]10[t]) + reaction\[LetterSpace]5\[LetterSpace]k1*species\[LetterSpace]3[t]*species\[LetterSpace]9[t]), reaction\[LetterSpace]6 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]6\[LetterSpace]k2*species\[LetterSpace]10[t]) + reaction\[LetterSpace]6\[LetterSpace]k1*species\[LetterSpace]4[t]*species\[LetterSpace]5[t]), reaction\[LetterSpace]7 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]7\[LetterSpace]k2*species\[LetterSpace]11[t]) + reaction\[LetterSpace]7\[LetterSpace]k1*species\[LetterSpace]0[t]*species\[LetterSpace]5[t]), reaction\[LetterSpace]8 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]8\[LetterSpace]k2*species\[LetterSpace]12[t]) + reaction\[LetterSpace]8\[LetterSpace]k1*species\[LetterSpace]0[t]*species\[LetterSpace]6[t]), reaction\[LetterSpace]9 -> compartment\[LetterSpace]0*(-(reaction\[LetterSpace]9\[LetterSpace]k2*species\[LetterSpace]13[t]) + reaction\[LetterSpace]9\[LetterSpace]k1*species\[LetterSpace]4[t]*species\[LetterSpace]6[t]) }; parameters = { reaction\[LetterSpace]15\[LetterSpace]k1 -> 74300.0, reaction\[LetterSpace]15\[LetterSpace]k2 -> 0.00572, reaction\[LetterSpace]16\[LetterSpace]k1 -> 22800000.0, reaction\[LetterSpace]16\[LetterSpace]k2 -> 5.43*^-05, reaction\[LetterSpace]17\[LetterSpace]k1 -> 1620000.0, reaction\[LetterSpace]17\[LetterSpace]k2 -> 0.00875, reaction\[LetterSpace]18\[LetterSpace]k1 -> 6200000.0, reaction\[LetterSpace]18\[LetterSpace]k2 -> 0.0433, reaction\[LetterSpace]19\[LetterSpace]k1 -> 6300000.0, reaction\[LetterSpace]19\[LetterSpace]k2 -> 0.478, reaction\[LetterSpace]20\[LetterSpace]k1 -> 25.0, reaction\[LetterSpace]20\[LetterSpace]k2 -> 0.00297, reaction\[LetterSpace]21\[LetterSpace]k1 -> 13000.0, reaction\[LetterSpace]21\[LetterSpace]k2 -> 0.685, reaction\[LetterSpace]22\[LetterSpace]k1 -> 49400000.0, reaction\[LetterSpace]22\[LetterSpace]k2 -> 0.00421, reaction\[LetterSpace]23\[LetterSpace]k1 -> 2.75, reaction\[LetterSpace]23\[LetterSpace]k2 -> 2940.0, reaction\[LetterSpace]3\[LetterSpace]k1 -> 0.013, reaction\[LetterSpace]3\[LetterSpace]k2 -> 9.03*^-07, reaction\[LetterSpace]4\[LetterSpace]k1 -> 0.0001, reaction\[LetterSpace]4\[LetterSpace]k2 -> 62.3, reaction\[LetterSpace]5\[LetterSpace]k1 -> 853000.0, reaction\[LetterSpace]5\[LetterSpace]k2 -> 0.00468, reaction\[LetterSpace]6\[LetterSpace]k1 -> 132000000.0, reaction\[LetterSpace]6\[LetterSpace]k2 -> 1.28, reaction\[LetterSpace]7\[LetterSpace]k1 -> 386000.0, reaction\[LetterSpace]7\[LetterSpace]k2 -> 0.0408, reaction\[LetterSpace]8\[LetterSpace]k1 -> 64100.0, reaction\[LetterSpace]8\[LetterSpace]k2 -> 0.95, reaction\[LetterSpace]9\[LetterSpace]k1 -> 94700000.0, reaction\[LetterSpace]9\[LetterSpace]k2 -> 0.00227, reaction\[LetterSpace]10\[LetterSpace]k1 -> 0.013, reaction\[LetterSpace]10\[LetterSpace]k2 -> 2.22*^-09, reaction\[LetterSpace]11\[LetterSpace]k1 -> 2.0, reaction\[LetterSpace]11\[LetterSpace]k2 -> 1470000.0, reaction\[LetterSpace]12\[LetterSpace]k1 -> 44700.0, reaction\[LetterSpace]12\[LetterSpace]k2 -> 8.32*^-08, reaction\[LetterSpace]13\[LetterSpace]k1 -> 25.0, reaction\[LetterSpace]13\[LetterSpace]k2 -> 0.244, reaction\[LetterSpace]14\[LetterSpace]k1 -> 0.0001, reaction\[LetterSpace]14\[LetterSpace]k2 -> 3.83, reaction\[LetterSpace]0\[LetterSpace]k1 -> 8780000.0, reaction\[LetterSpace]0\[LetterSpace]k2 -> 8.0, reaction\[LetterSpace]1\[LetterSpace]k1 -> 529000.0, reaction\[LetterSpace]1\[LetterSpace]k2 -> 8.38*^-06, reaction\[LetterSpace]2\[LetterSpace]k1 -> 636000000.0, reaction\[LetterSpace]2\[LetterSpace]k2 -> 0.0179, compartment\[LetterSpace]0 -> 1.0 }; assignments = { parameter\[LetterSpace]1 -> 100000000*(0.013*species\[LetterSpace]10[t] + 25*species\[LetterSpace]11[t] + 25*species\[LetterSpace]15[t] + 0.013*species\[LetterSpace]5[t]), parameter\[LetterSpace]0 -> 100000000*(species\[LetterSpace]10[t] + species\[LetterSpace]11[t] + species\[LetterSpace]15[t] + species\[LetterSpace]5[t]) }; events = { }; speciesAnnotations = { species\[LetterSpace]1[t]->"http://identifiers.org/obo.go/GO:0005834", species\[LetterSpace]3[t]->"http://identifiers.org/obo.chebi/CHEBI:15996", species\[LetterSpace]3[t]->"http://identifiers.org/kegg.compound/C00044", species\[LetterSpace]7[t]->"http://identifiers.org/obo.chebi/CHEBI:18367", species\[LetterSpace]8[t]->"http://identifiers.org/obo.chebi/CHEBI:17552", species\[LetterSpace]8[t]->"http://identifiers.org/kegg.compound/C00035" }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { species\[LetterSpace]0'[t] == -1.0*reaction\[LetterSpace]0 -1.0*reaction\[LetterSpace]7 -1.0*reaction\[LetterSpace]8 -1.0*reaction\[LetterSpace]15 -1.0*reaction\[LetterSpace]19 -1.0*reaction\[LetterSpace]21, species\[LetterSpace]1'[t] == 1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]0 -1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]2, species\[LetterSpace]10'[t] == 1.0*reaction\[LetterSpace]5 +1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]10 -1.0*reaction\[LetterSpace]19, species\[LetterSpace]11'[t] == 1.0*reaction\[LetterSpace]7 +1.0*reaction\[LetterSpace]12 -1.0*reaction\[LetterSpace]13 -1.0*reaction\[LetterSpace]18, species\[LetterSpace]12'[t] == 1.0*reaction\[LetterSpace]8 +1.0*reaction\[LetterSpace]13 -1.0*reaction\[LetterSpace]14 -1.0*reaction\[LetterSpace]22, species\[LetterSpace]13'[t] == 1.0*reaction\[LetterSpace]9 +1.0*reaction\[LetterSpace]10 -1.0*reaction\[LetterSpace]11 -1.0*reaction\[LetterSpace]21, species\[LetterSpace]14'[t] == 1.0*reaction\[LetterSpace]15 +1.0*reaction\[LetterSpace]16 +1.0*reaction\[LetterSpace]23 -1.0*reaction\[LetterSpace]17, species\[LetterSpace]15'[t] == 1.0*reaction\[LetterSpace]17 +1.0*reaction\[LetterSpace]18 +1.0*reaction\[LetterSpace]19 -1.0*reaction\[LetterSpace]20, species\[LetterSpace]16'[t] == 1.0*reaction\[LetterSpace]20 +1.0*reaction\[LetterSpace]21 +1.0*reaction\[LetterSpace]22 -1.0*reaction\[LetterSpace]23, species\[LetterSpace]2'[t] == 1.0*reaction\[LetterSpace]0 +1.0*reaction\[LetterSpace]14 -1.0*reaction\[LetterSpace]12 -1.0*reaction\[LetterSpace]16, species\[LetterSpace]3'[t] == -1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]5 -1.0*reaction\[LetterSpace]12 -1.0*reaction\[LetterSpace]17, species\[LetterSpace]4'[t] == -1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]9 -1.0*reaction\[LetterSpace]16 -1.0*reaction\[LetterSpace]18 -1.0*reaction\[LetterSpace]22, species\[LetterSpace]5'[t] == 1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]6 -1.0*reaction\[LetterSpace]7, species\[LetterSpace]6'[t] == 1.0*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]4 -1.0*reaction\[LetterSpace]8 -1.0*reaction\[LetterSpace]9, species\[LetterSpace]7'[t] == 1.0*reaction\[LetterSpace]3 +1.0*reaction\[LetterSpace]10 +1.0*reaction\[LetterSpace]13 +1.0*reaction\[LetterSpace]20 , species\[LetterSpace]8'[t] == 1.0*reaction\[LetterSpace]4 +1.0*reaction\[LetterSpace]11 +1.0*reaction\[LetterSpace]14 +1.0*reaction\[LetterSpace]23 , species\[LetterSpace]9'[t] == 1.0*reaction\[LetterSpace]2 +1.0*reaction\[LetterSpace]11 -1.0*reaction\[LetterSpace]5 -1.0*reaction\[LetterSpace]15 }; 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]}]