Table 1.

Parameters values used in numerical simulations.

Parameter	Description	Value	Reference
ksp53	Production rate of p53	0.2	[40]
kda1	Deactivation rate of p53* by SIRT1	3.3	[41]
k0	Michaelis constant of SIRT1-dependent p53 deactivation	0.0087	[41]
kdp531	Basal degradation rate of p53	0.02	[11]
kdp532	Mdm2-dependent degradation rate of p53	0.7	[40]
kd1	Threshold conc. for Mdm2-dependent p53 degradation	0.03	[11]
kd2	Threshold conc. for Mdm2-dependent p53* degradation	0.3	[11]
kfp	The post-translational modifications rate including phosphorylation, methylation, acetylation, etc. on multiple different sites of p53	15	[41]
kp	Michaelis constant of ATM*-dependent p53 phosphorylation	0.87	[41]
A	ATM* concentration	0~10	[12]
krp	Dephosphorylation rate of p53*	0.2	[11]
kdp53s	Mdm2-dependent degradation rate of p53*	0.14	[40]
ksmd1	Basal production rate of Mdm2	0.002	[41]
ksmd2	P53-dependent synthetic rate of Mdm2	0.024	[41]
k	Michaelis constant of p53-dependent Mdm2 production	1	[11]
kdmdm20	Basal degradation rate of Mdm2	0.003	[40]
kdmdm21	ATM*-dependent degradation rate of Mdm2	0.05	[40]
ksmi1	Basal induction rate of miR-34a	0.0018	[39]
ksmi2	P53*-induced transcription rate of miR-34a	0.01	[39]
j1	Michaelis constant of p53*-dependent miR-34a transcription	1	Estimate
kdmi	Degradation rate of miR-34a	0.0078	[41]
kon2	Association rate between sirt1 mRNA and miR-34a	10	[41]
koff2	Dissociation rate of sirt1-miR-34a complex	0.13	[41]
ksmir	Degradation rate of sirt1-miR-34a complex	0.062	[41]
kss	Basal induction rate of sirt1 mRNA	0.01	[42]
kssi	Degradation rate of sirt1 mRNA	0.062	[41]
rsirt1	Translation rate of SIRT1 protein	0.42	[41]
ksirt1	Degradation rate of SIRT1 protein	0.03	[41]
τ	Transcriptional and translation time delays	0∼30min	Estimate