Stability and bifurcation analysis of new coupled repressilators in genetic regulatory networks with delays
The genetic regulatory networks are complex dynamic systems which reflect various kinetic behaviors of living things.In this paper, a new structure of coupled repressilators is introduced to exploit the underlying functions.The new coupled repressilator model consists of two identical repressilators inhibiting each other directly.The coupling delays are taken into account.The existence of a unique equilibrium for this system is verified firstly, then the stability criteria for equilibrium are analyzed without and with coupling delays.The different functions on equilibrium and its stability played by related biochemical parameters in the structure including maximal transcription rate, coupling strength, the decay rate ratio between proteins and mRNAs, and coupling delays are discussed.At last, several numerical simulations are made to demonstrate our results.
Coupled repressilators Stability Hopf bifurcation Coupling delays
Guang Ling Zhi-Hong Guan Ding-Xin He Rui-Quan Liao Xian-He Zhang
College of Automation, Huazhong University of Science and Technology, Wuhan 430074, China;School of College of Automation, Huazhong University of Science and Technology, Wuhan 430074, China Petroleum Engineering College, Yangtze University,Jingzhou 420400, China College of Mechatronics and Control Engineering.Hubei Normal University, Huangshi 435002, China
国内会议
西南大学2014年全国博士生学术论坛(电子技术与信息科学领域)
重庆
英文
30-39
2014-12-01（万方平台首次上网日期，不代表论文的发表时间）