Stability analysis of genetic regulatory networks with multiple time delays

被引：12
|
作者：
Wu, Fang-Xiang [1 ]
机构：
[1] Univ Saskatchewan, Dept Mech Engn, Saskatoon, SK S7N 5A9, Canada
来源：
2007 ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-16 | 2007年
关键词：
delay-independent stability; genetic regulatory network; mRNA; protein; multiple time delays;
D O I：
10.1109/IEMBS.2007.4352557
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
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.
引用
收藏
页码：1387 / 1390
页数：4
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