Title :
Stability Analysis of Genetic Regulatory Networks with Multiple Time Delays
Author_Institution :
Univ. of Saskatchewan, Saskatoon
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.
Keywords :
cellular biophysics; genetics; molecular biophysics; nonlinear differential equations; proteins; delay-independent stability; genetic regulatory network; mRNA; multiple time delays; nonlinear differential equations; protein; Delay effects; Differential equations; Genetics; Network synthesis; Nonlinear dynamical systems; Nonlinear equations; Proteins; Stability analysis; Sufficient conditions; Thermodynamics; delay-independent stability; genetic regulatory network; mRNA; multiple time delays; protein; Computer Simulation; Gene Expression Regulation; Models, Genetic; Nonlinear Dynamics; Proteins; RNA, Messenger; Signal Transduction; Time Factors;
Conference_Titel :
Engineering in Medicine and Biology Society, 2007. EMBS 2007. 29th Annual International Conference of the IEEE
Conference_Location :
Lyon
Print_ISBN :
978-1-4244-0787-3
DOI :
10.1109/IEMBS.2007.4352557
