Exploring the influence of microRNA miR-34 on p53 dynamics: a numerical study*

Nan Liu(刘楠),Hongli Yang(杨红丽),Liangui Yang(杨联贵)

Table 1. Simulation parameters.

Parameter Description Values (units) vatm ATM activation rate 1.2 (C min−1) datm ATM maximum inactivation rate 0.53 ($/\min $) vp53 P53 maximum production rate 0.95 (C min−1) dp53 P53 maximum degradation rate 1.2 ($/\min $) vmdm2 Mdm2 maximum production rate 0.153 (C min−1) kp Mdm2 maximum phosphorylation rate 0.65 ($/\min $) kq Mdm2 dephosphorylation rate 0.24 ($/\min $) kin The rate of Mdm2 transfer from the cytoplasm to the nucleus 0.14 ($/\min $) kout The rate of Mdm2 transfer from the nucleus to the cytoplasm 0.01 ($/\min $) dmdm2 Mdm2c degradation rate 0.034 ($/\min $) vmir miR-34 maximum production rate 0.035 (C min−1) dmir miR-34 degradation rate 0.05 ($/\min $) ρ0 P53-dependent ATM inactivation proportional constant 0.9 (\) ρ1 ATM-dependent p53 activation proportional constant 0.9 (\) ρ2 Mdm2p-dependent p53 production proportional constant 0.98 (\) ρ3 Mdm2n-dependent p53 degradation proportional constant 0.97 (\) ρ4 P53-dependent Mdm2 production proportional constant 0.98 (\) ρ5 ATM-dependent Mdm2 phosphorylation proportional constant 0.9 (\) ρ6 P53-dependent miR-34 production proportional constant 0.99 (\) k0 Half-saturated concentration of p53-dependent ATM inactivation 1 (C) k1 Half-saturated concentration of ATM-dependent p53 activation 0.3 (C) k2 Half-saturated concentration of Mdm2p-dependent p53 production 0.057 (C) k3 The maximum half-saturated concentration of Mdm2n-dependent p53 degradation 0.5 (C) k4 Half-saturated concentration of p53-dependent Mdm2 production 4.43 (C) k5 Half-saturated concentration of ATM-dependent Mdm2 phosphorylation 1 (C) k6 Half-saturated concentration of p53-dependent miR-34 production 0.8 (C) α Proportional constant of miR-34-regulated half-saturated concentration of Mdm2n for p53 degradation 0.9 (\) κ Half-saturated concentration of miR-34-regulated half-saturated concentration of Mdm2n for p53 degradation 1 (C) r0 Mdm2n and Mdm2c degradation rate ratio 1.7 (\) g0 Mdm2p and Mdm2c degradation rate ratio 3.58 (\)