Table 3 Ordinary differential equation system for the model

d [DISC]/dt = μ_DISC(f_DISC([FasL]₀, [FasR]₀; K_DISC) - [DISC])

v₁ = k₁ [DISC] [Casp8]

d [Casp8]/dt = -v₁ - v₂ + α_Casp8 - μ_Casp8 [Casp8]

v₂ = k₂ [Casp3*] [Casp8]

d [Casp8*]/dt = v₁ + v₂ - v₆ - μ_Casp8* [Casp8*]

v₃ = k₃ [Casp8*] [Casp3]

d [Casp3]/dt = -v₃ - v₁₃ + α_Casp3 - μ_Casp3 [Casp3]

v₄ = k₄ [Casp3*] [XIAP] - k_-4 [Casp3*-XIAP]

d [Casp3*]/dt = v₃ - v₄ + v₁₃ - μ_Casp3* [Casp3*]

v₅ = k₅ [Casp3*] [XIAP]

d [XIAP]/dt = -v₄ - v₅ - v₁₀ - v₁₄ + α_XIAP - μ_XIAP [XIAP]

v₆ = k₆ [Casp8*] [BAR] - k_-6 [Casp8*-BAR]

d [Casp3*-XIAP]/dt = v₄ - μ_Casp3*-XIAP [Casp3*-XIAP]

v₇ = k₇ [Casp8*] [Bid]

d [BAR]/dt = -v₆ + α_BAR - μ_BAR [BAR]

v₈ = k₈ [tBid-Bax₂] [Cytc]

d [Casp8*-BAR]/dt = v₆ - μ_Casp8*-BAR [Casp8*-BAR]

v₉ = k₉ [tBid-Bax₂] [Smac]

d [Bid]/dt = -v₇ + α_Bid - μ_Bid [Bid]

v₁₀ = k₁₀ [Smac*] [XIAP] - k_-10 [Smac*-XIAP]

d [tBid]/dt = v₇ - μ_tBid [tBid]

v₁₁ = k₁₁ [Apop] [Casp9]

d [tBid-Bax₂]/dt = ${\mu }_{{\text{tBid-Bax}}_2}$

v₁₂ = k₁₂ [Casp3*] [Casp9]

($f_{{\text{tBid-Bax}}_2}$ ([tBid], [Bax]₀ ; $K_{{\text{tBid-Bax}}_2}$) - [tBid-Bax₂])

v₁₃ = k₁₃ [Casp9*] [Casp3]

d [Cytc]/dt = -v₈ + α_Cytc - μ_Cytc [Cytc]

v₁₄ = k₁₄ [Casp9*] [XIAP] - k_-14 [Casp9*-XIAP]

d [Cytc*]/dt = v₈ - μ Cytc* [Cytc*]

d [Smac]/dt = -v₉ + α_Smac - μ_Smac [Smac]

d [Smac*]/dt = v₉ - v₁₀ - μ_Smac* [Smac*]

d [Smac*-XIAP]/dt = v₁₀ - μ_Smac*-XIAP [Smac*-XIAP]

d [Apop]/dt = μ_Apop(f_Apop([Cytc*]/[Apaf]₀ ; λ_Apop) - [Apop])

d [Casp9]/dt = -v₁₁ - v₁₂ + α_Casp9 - μ_Casp9 [Casp9]

d [Casp9*]/dt = v₁₁ + v₁₂ - v₁₄ - μ_Casp9* [Casp9*]

d [Casp9*-XIAP] = v₁₄ - μ_Casp9*-XIAP [Casp9*-XIAP]