title: Stability analysis of genetic regulatory networks with multiple time delays.
abstract: A genetic regulatory network is a dynamic system to describe interactions among genes (mRNA) and its products (proteins). From the statistic thermodynamics and biochemical reaction principle, a genetic regulatory network can be described by a group of nonlinear differential equations with time delays. Stability is one of interesting properties for genetic regulatory network. Previous studies have investigated stability of genetic regulatory networks with a single time delay. In this paper, we investigate properties of genetic regulatory networks with multiple time delays in the notion of delay-independent stability. We present necessary and sufficient condition for the local delay-independent stability of genetic regulatory network with multiple time delays which are independent or commensurate.
authors.affiliation: Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK S7N 5A9, Canada. faw341@mail.usask.ca
authors.forename: Fang-Xiang
authors.initials: FX
authors.lastname: Wu
mesh_terms: D003198:Computer Simulation; D005786:Gene Expression Regulation / Q000235:genetics*; D008957:Models, Genetic; D017711:Nonlinear Dynamics; D011506:Proteins / Q000235:genetics*; D012333:RNA, Messenger / Q000502:physiology*; D015398:Signal Transduction / Q000235:genetics*; D013997:Time Factors
chemical_list: D011506:Proteins; D012333:RNA, Messenger