Title :
Asymptotic stability of neutral functional differential equation model of genetic regulatory networks with time-varying delays
Author :
Jung, D.S. ; Koo, J.H. ; Won, S.C.
Author_Institution :
Dept. of Electr. & Electron. Eng., POSTECH, Pohang, South Korea
Abstract :
In this paper we study the asymptotic stability of neutral functional differential equation (NFDE) model of genetic regulatory networks (GRNs) with time-varying delays. It is assumed that time varying delays belong to the predefined intervals. SUM regulatory logic was used for the modeling of the effects from other genes. We consider not only time delayed concentration of messenger ribonucleic acid (mRNA) and protein but also the derivative of time delayed concentration of mRNA. We derive sufficient stability conditions in forms of linear matrix inequalities (LMI) for given GRNs system. Simulation results and illustrative examples are included.
Keywords :
asymptotic stability; delays; differential equations; functional equations; linear matrix inequalities; macromolecules; proteins; time-varying systems; SUM regulatory logic; asymptotic stability; genetic regulatory network; linear matrix inequality; messenger ribonucleic acid; neutral functional differential equation model; protein; time varying delay; Asymptotic stability; Delay; Delay effects; Genetics; Mathematical model; Proteins; Stability analysis; Genetic regulatory networks; Linear matrix inequality; Neutral functional differential equation; Time-varying delay;
Conference_Titel :
SICE Annual Conference 2010, Proceedings of
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7642-8
