(* 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]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]7[t], species\[LetterSpace]8[t], species\[LetterSpace]9[t] }; initialValues = { species\[LetterSpace]1[0] == 6.69999967735732*^-05, 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]7[0] == 0.0, species\[LetterSpace]8[0] == 0.0, species\[LetterSpace]9[0] == 0.0 }; rates = { reaction\[LetterSpace]1, reaction\[LetterSpace]2, reaction\[LetterSpace]3, reaction\[LetterSpace]4, reaction\[LetterSpace]5 }; rateEquations = { reaction\[LetterSpace]1 -> compartment\[LetterSpace]1*function\[LetterSpace]1[species\[LetterSpace]1[t], parameter\[LetterSpace]1, parameter\[LetterSpace]2], reaction\[LetterSpace]2 -> compartment\[LetterSpace]1*function\[LetterSpace]1[species\[LetterSpace]1[t], parameter\[LetterSpace]3, parameter\[LetterSpace]4], reaction\[LetterSpace]3 -> compartment\[LetterSpace]1*function\[LetterSpace]1[species\[LetterSpace]1[t], parameter\[LetterSpace]5, parameter\[LetterSpace]6], reaction\[LetterSpace]4 -> compartment\[LetterSpace]1*function\[LetterSpace]1[species\[LetterSpace]7[t], parameter\[LetterSpace]7, parameter\[LetterSpace]8], reaction\[LetterSpace]5 -> compartment\[LetterSpace]1*function\[LetterSpace]1[species\[LetterSpace]8[t], parameter\[LetterSpace]7, parameter\[LetterSpace]9] }; parameters = { parameter\[LetterSpace]1 -> 0.49, parameter\[LetterSpace]2 -> 0.00825, parameter\[LetterSpace]3 -> 0.49, parameter\[LetterSpace]4 -> 0.039, parameter\[LetterSpace]5 -> 0.49, parameter\[LetterSpace]6 -> 0.00255, parameter\[LetterSpace]7 -> 0.05, parameter\[LetterSpace]8 -> 0.285, compartment\[LetterSpace]1 -> 1000.0 }; assignments = { function\[LetterSpace]1[substrate_,Km_,V_] -> (substrate*V)/(Km + substrate), parameter\[LetterSpace]9 -> 0.135*parameter\[LetterSpace]8 }; events = { }; speciesAnnotations = { }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "", "extent" -> ""} }; (* Time evolution *) odes = { species\[LetterSpace]1'[t] == -1.0*reaction\[LetterSpace]1 -1.0*reaction\[LetterSpace]2 -1.0*reaction\[LetterSpace]3, species\[LetterSpace]10'[t] == 0.012*reaction\[LetterSpace]1 +0.015*reaction\[LetterSpace]2 +0.107*reaction\[LetterSpace]3 , species\[LetterSpace]11'[t] == 0.162*reaction\[LetterSpace]1 +0.127*reaction\[LetterSpace]2 +0.218*reaction\[LetterSpace]3 , species\[LetterSpace]12'[t] == 0.04*reaction\[LetterSpace]1 +0.026*reaction\[LetterSpace]2 +0.218*reaction\[LetterSpace]3 , species\[LetterSpace]13'[t] == 0.014*reaction\[LetterSpace]1 +0.018*reaction\[LetterSpace]2 +0.098*reaction\[LetterSpace]3 , species\[LetterSpace]14'[t] == 0.004*reaction\[LetterSpace]1 +0.016*reaction\[LetterSpace]2 +0.097*reaction\[LetterSpace]3 , species\[LetterSpace]15'[t] == 1.0*reaction\[LetterSpace]4 +1.0*reaction\[LetterSpace]5 , species\[LetterSpace]7'[t] == 0.574*reaction\[LetterSpace]1 +0.751*reaction\[LetterSpace]2 +0.068*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]4, species\[LetterSpace]8'[t] == 0.144*reaction\[LetterSpace]1 +0.023*reaction\[LetterSpace]2 +0.059*reaction\[LetterSpace]3 -1.0*reaction\[LetterSpace]5, species\[LetterSpace]9'[t] == 0.05*reaction\[LetterSpace]1 +0.025*reaction\[LetterSpace]2 +0.136*reaction\[LetterSpace]3 }; 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]}]