Table 1.

Equations and parameters of the model.

Apoptosis Initiation Module
$Bax=BaxT-BaxmT$(1)	$\frac{dBaxmT}{dt}=\left(k_{f1}+k_{f2}⁎Bh3\right)⁎Bax-k_b⁎BaxmT$(2)
$Baxm=BaxmT-Baxm:Bcl$(3)	$\frac{dBaxm:Bcl}{dt}=k_{asXC}⁎Baxm⁎Bcl-k_{dsXC}⁎Baxm:bcl2-k_b⁎Baxm:Bcl$(4)
$Bh3=Bh3T-Bh3:Bcl$(5)	$\frac{dBh3:Bcl}{dt}=k_{asHC}⁎Bh3⁎Bcl-k_{dsHC}⁎Bh3:Bcl2$(6)
Parameters
$k_{f1}=1$	$k_{f2}=300$	$k_b=2$	$k_{asXC}=9000$
$k_{dsXC}=0.05$	$k_{asHC}=1000$	$k_{dsXC}=0.01$
Total BH3 control
$\frac{Bh3T}{dt}=k_{sBh3}+k_{s2}⁎p53+k_{s3}⁎Caspase8-k_{dBH3}⁎Bh3T$(7)
Parameters
$k_{sBh3}=0.1$	$k_2=0.2$	$k_3=1$	$k_{dBh3}=1$
Caspase 8
$\frac{dCaspase8}{dt}=k_{aC8}-\left(k_{iC8}+k_{i2}⁎cIAP\right)⁎Caspase8$(8)
Parameters
$k_{aC8}=0.03$	$k_{iC8}=0.1$	$k_{i2}=0.15$
CIAP
$\frac{dcIAP}{dt}=k_{sIAP}+k_{sIAP2}⁎\frac{Dru{g}^n}{Dru{g}^n+J^n}-k_{dIAP}⁎cIAP$(9)
Parameters
$J=0.1$	$k_{sIAP}=0.00004$	$k_{sIAP2}=0.016$	$k_{dIAP}=0.004$
p53
$wp53=R_0^{p53}+R_{p53}^{p53}⁎p53+R_{Mdm2}^{p53}⁎Mdm2$(10)		$wMdm2=R_0^{wMdm2}+R_{p53}^{wMdm2}⁎p53$(11)
$fp53=\frac{1}{1+e^{-\sigma \cdot wp53}}$(12)		$fMdm2=\frac{1}{1+e^{-{\sigma }_2\cdot wMdm2}}+\frac{1}{1+e^{-\sigma ⁎\mathrm{R}\_drug\_effect⁎\mathrm{Drug}}}$(13)
$\frac{dp53}{dt}=tsp53⁎\left(fp53-p53\right)$(14)		$\frac{dMdm2}{dt}=tsMdm2⁎(fMdm2-Mdm2)$(15)
Parameters
$R_0^{p53}=-0.4$	$R_{p53}^{p53}=2$	$R_0^{Mdm2}=-0.55$	$R_{p53}^{Mdm2}=1$
$R_{Mdm2}^{p53}=-1$	$tsp53=0.6$	$tsMdm2=0.3$	$\sigma =5$
${\sigma }_2=10$	$n=10$
Initial Conditions
$BaxmT=0.3$	$Baxm:Bcl=0.33$	$Bh3:Bcl=0.16$	$P53=0$
$Mdm2=1$	$CIAP=0$	$R_{\_drug\_effect}=0.33$