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Table 3 Ordinary differential equation system for the model

From: Construction and analysis of a modular model of caspase activation in apoptosis

Differential equations Reaction velocities
d [DISC]/dt = μDISC(fDISC([FasL]0, [FasR]0; KDISC) - [DISC]) v1 = k1 [DISC] [Casp8]
d [Casp8]/dt = -v1 - v2 + αCasp8 - μCasp8 [Casp8] v2 = k2 [Casp3*] [Casp8]
d [Casp8*]/dt = v1 + v2 - v6 - μCasp8* [Casp8*] v3 = k3 [Casp8*] [Casp3]
d [Casp3]/dt = -v3 - v13 + αCasp3 - μCasp3 [Casp3] v4 = k4 [Casp3*] [XIAP] - k-4 [Casp3*-XIAP]
d [Casp3*]/dt = v3 - v4 + v13 - μCasp3* [Casp3*] v5 = k5 [Casp3*] [XIAP]
d [XIAP]/dt = -v4 - v5 - v10 - v14 + αXIAP - μXIAP [XIAP] v6 = k6 [Casp8*] [BAR] - k-6 [Casp8*-BAR]
d [Casp3*-XIAP]/dt = v4 - μCasp3*-XIAP [Casp3*-XIAP] v7 = k7 [Casp8*] [Bid]
d [BAR]/dt = -v6 + αBAR - μBAR [BAR] v8 = k8 [tBid-Bax2] [Cytc]
d [Casp8*-BAR]/dt = v6 - μCasp8*-BAR [Casp8*-BAR] v9 = k9 [tBid-Bax2] [Smac]
d [Bid]/dt = -v7 + αBid - μBid [Bid] v10 = k10 [Smac*] [XIAP] - k-10 [Smac*-XIAP]
d [tBid]/dt = v7 - μtBid [tBid] v11 = k11 [Apop] [Casp9]
d [tBid-Bax2]/dt = μ tBid-Bax 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabbsha0jabbkeacjabbMgaPjabbsgaKjabb2caTiabbkeacjabbggaHjabbIha4naaBaaameaacqaIYaGmaeqaaaWcbeaaaaa@38AF@ v12 = k12 [Casp3*] [Casp9]
( f tBid-Bax 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOzay2aaSbaaSqaaiabbsha0jabbkeacjabbMgaPjabbsgaKjabb2caTiabbkeacjabbggaHjabbIha4naaBaaameaacqaIYaGmaeqaaaWcbeaaaaa@384E@ ([tBid], [Bax]0 ; K tBid-Bax 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aaSbaaSqaaiabbsha0jabbkeacjabbMgaPjabbsgaKjabb2caTiabbkeacjabbggaHjabbIha4naaBaaameaacqaIYaGmaeqaaaWcbeaaaaa@3818@ ) - [tBid-Bax2]) v13 = k13 [Casp9*] [Casp3]
d [Cytc]/dt = -v8 + αCytc - μCytc [Cytc] v14 = k14 [Casp9*] [XIAP] - k-14 [Casp9*-XIAP]
d [Cytc*]/dt = v8 - μ Cytc* [Cytc*]  
d [Smac]/dt = -v9 + αSmac - μSmac [Smac]  
d [Smac*]/dt = v9 - v10 - μSmac* [Smac*]  
d [Smac*-XIAP]/dt = v10 - μSmac*-XIAP [Smac*-XIAP]  
d [Apop]/dt = μApop(fApop([Cytc*]/[Apaf]0 ; λApop) - [Apop])  
d [Casp9]/dt = -v11 - v12 + αCasp9 - μCasp9 [Casp9]  
d [Casp9*]/dt = v11 + v12 - v14 - μCasp9* [Casp9*]  
d [Casp9*-XIAP] = v14 - μCasp9*-XIAP [Casp9*-XIAP]  
  1. Ordinary differential equations for the full system are given in the left hand column. Corresponding reaction velocities use mass-action kinetics are found in the right hand column.