Table 1.

The meaning and values of parameters in the systems (1)–(8).

Parameter	Biological meaning	Value
b p	Inactive p53 production rate	3
b sp	p53 saturating phosphorylate rate by ATM/ATR	10*/1
b m	p53-dependent Mdm2 production rate	0.9
b mi	p53-independent Mdm2 production rate	0.2*
b i	Inhibitor Wip1 production rate	0.25*
b s	Signal ATM production rate	10*
b pac	Acetylation speed of p53 under DSB/UV damage	0.1/0.02
b Bax	Saturating production rate of Bax	0.04
a mpi	Mdm2-dependent p53 inactive degradation rate	5*
a pi	Inactive p53 degradation rate	2*
a mpa	Mdm2-dependent active p53 degradation rate	0.35
a sm	Signal-dependent Mdm2 inactivation rate	0.5
a wpa	Wip1-dependent dephosphorylation rate of p53	2.8
a m	Mdm2 degradation rate	1*
a i	Inhibitor Wip1 degradation rate	0.7*
a is	Wip1-dependent Signal degradation rate	50*
a s	ATM degradation rate	7.5*
a pac	acetylation of p53 degradation rate	0.05
a depac	deacetylation rate of p53	0.05
a Bax	Bax degradation rate	0.04
τ1	Time delay of Mdm2 transcription by p53	0.7*
τ2	Time delay of Wip1 transcription by p53	1.25*
ta	Concentration of Bax for half maximal p53ac production	0.15
ts	Concentration of ATM for half-maximal p53 production	1*
ti	Concentration of wip1 for half-maximal Signal degradation	0.2*
θ 0	The threshold of DSBs for acetylating p53	0.1
k rep	Repair rate of DSBs	0.1
n 1	Hill coefficients for phosphorylation and dephosphorylate of p53	4
n 2	Hill coefficients for dephosphorylation of ATM by wip	2
[p53i]0	The initial condition of inactive p53	1
[p53p]0	The initial condition of phosphorylated p53	0
[Mdm2]0	The initial condition of Mdm2	0.2
[wip1]0	The initial condition of wip1	0
[ATM]0	The initial condition of ATM	0
[p53ac]0	The initial condition of acetylated p53	0
[Bax]0	The initial condition of Bax	0
[DSBs]0	The initial conditions of two type of DSBs	3/0.3**

*denotes parameters from [2, 6], the others are estimated. **denotes serious/slight DSBs.