(* 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 = { s1[t], s10[t], s11[t], s119[t], s12[t], s13[t], s2[t], s3[t], s4[t], s5[t], s6[t], s7[t], s8[t], s9[t] }; initialValues = { s1[0] == 1500000.0, s10[0] == 0.0, s11[0] == 0.0, s119[0] == 0.0, s12[0] == 0.0, s13[0] == 0.0, s2[0] == 2830000.0, s3[0] == 117.2, s4[0] == 3870.0, s5[0] == 0.0, s6[0] == 0.0, s7[0] == 0.0, s8[0] == 0.0, s9[0] == 0.0 }; rates = { re10, re11, re12, re3, re4, re5, re6, re7, re8, re9 }; rateEquations = { re10 -> dot\[LetterSpace]q\[LetterSpace]inpass, re11 -> re11\[LetterSpace]unisec, re12 -> (dot\[LetterSpace]Vp*s3[t]^2)/(K4^2 + s3[t]^2), re3 -> -(k6*s3[t]*(B\[LetterSpace]T - s4[t])) + k7*s4[t], re4 -> k\[LetterSpace]CCE*((Cao*fracK)/(Cao + K3) - s2[t])*(s1[t] - s2[t]), re5 -> (k1*(R\[LetterSpace]T - half*R\[LetterSpace]T*(E^(-(s12[t]/tau\[LetterSpace]I)) + E^(-(s12[t]/tau\[LetterSpace]II)) + ((E^(-(s12[t]/tau\[LetterSpace]I)) - E^(-(s12[t]/tau\[LetterSpace]II)))*(tau\[LetterSpace]I + tau\[LetterSpace]II))/(tau\[LetterSpace]I - tau\[LetterSpace]II)))*s3[t])/(K1 + s3[t]), re6 -> k2*s6[t], re7 -> k5*s2[t]^2 - (k4*s3[t]^2)/(K3 + s3[t])^2 + (k3*k\[LetterSpace]CICR*s2[t]*s3[t]*s6[t]^3)/((K\[LetterSpace]CICR + s3[t])*(K2 + s6[t])^3), re8 -> (dot\[LetterSpace]Vhi*s3[t]^4)/(K\[LetterSpace]hi^4 + s3[t]^4), re9 -> (dot\[LetterSpace]Vex*s3[t])/(K5 + s3[t]) }; parameters = { B\[LetterSpace]T -> 120000.0, Cao -> 100.0, K1 -> 0.0, K2 -> 200.0, K3 -> 150.0, K4 -> 80.0, K5 -> 321.0, K\[LetterSpace]CICR -> 0.0, K\[LetterSpace]hi -> 380.0, R\[LetterSpace]T -> 44000.0, dot\[LetterSpace]Vex -> 9165.0, dot\[LetterSpace]Vhi -> 2380.0, dot\[LetterSpace]Vp -> 815.0, dot\[LetterSpace]q\[LetterSpace]inpass -> 3000.0, fracK -> 7071067.81, half -> 0.5, k1 -> 0.0006, k2 -> 1.0, k3 -> 3.32, k4 -> 2500.0, k5 -> 5*^-11, k6 -> 0.05, k7 -> 150.0, k\[LetterSpace]CCE -> 0.0, k\[LetterSpace]CICR -> 1.0, tau\[LetterSpace]I -> 66.0, tau\[LetterSpace]II -> 0.01, re11\[LetterSpace]unisec -> 1.0, c1 -> 1.0, c2 -> 1.0, default -> 1.0 }; assignments = { }; events = { }; speciesAnnotations = { }; reactionAnnotations = { }; units = { {"time" -> "", "metabolite" -> "substance", "extent" -> "substance"} }; (* Time evolution *) odes = { s1'[t] == 0.0 , s10'[t] == 1.0*re9 , s11'[t] == -1.0*re10, s119'[t] == 0.0 , s12'[t] == 1.0*re11 , s13'[t] == -1.0*re11, s2'[t] == 1.0*re4 -1.0*re7, s3'[t] == 1.0*re3 +1.0*re7 +1.0*re10 -1.0*re8 -1.0*re9 -1.0*re12, s4'[t] == -1.0*re3, s5'[t] == -1.0*re4, s6'[t] == 1.0*re5 -1.0*re6, s7'[t] == -1.0*re5, s8'[t] == 1.0*re6 , s9'[t] == 1.0*re8 +1.0*re12 }; 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]}]