Stability of piecewise-linear models of genetic regulatory networks  

作　　者：林鹏 秦开宇 吴海燕 

机构地区：[1]Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China

出　　处：《Chinese Physics B》2011年第10期496-505,共10页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60672029)

摘　　要：This paper investigates the stability of the equilibria of the piecewise-linear models of genetic regulatory networks on the intersection of the thresholds of all variables. It first studies circling trajectories and derives some stability conditions by quantitative analysis in the state transition graph. Then it proposes a common Lyapunov function for convergence analysis of the piecewise-linear models and gives a simple sign condition. All the obtained conditions are only related to the constant terms on the right-hand side of the differential equation after bringing the equilibrium to zero.This paper investigates the stability of the equilibria of the piecewise-linear models of genetic regulatory networks on the intersection of the thresholds of all variables. It first studies circling trajectories and derives some stability conditions by quantitative analysis in the state transition graph. Then it proposes a common Lyapunov function for convergence analysis of the piecewise-linear models and gives a simple sign condition. All the obtained conditions are only related to the constant terms on the right-hand side of the differential equation after bringing the equilibrium to zero.

关 键 词：genetic regulatory networks piecewise-linear model Lyapunov function 

分 类 号：Q75[生物学—分子生物学]