Robust stability analysis of stochastic genetic regulatory networks with discrete and distributed delay in both mRNA and protein dynamics

Author

Salimpour, Alireza ; Sojoodi, Mahdi ; Majd, Vahid Johari

Author_Institution

Intell. Control Syst. Lab., Tarbiat Modares Univ., Tehran, Iran

fYear

2010

fDate

28-30 June 2010

Firstpage

7

Lastpage

13

Abstract

This paper addresses robust stability of genetic regulatory networks (GRNs) with stochastic perturbation and discrete and distributed time-varying delays. Aside from discrete delays, there are few results about stability of GRNs with distributed delay. In this paper, noise perturbation and delays have been considered in both mRNA and protein dynamics. Based on Lyapunov functional approach and linear matrix inequality (LMI) techniques, sufficient conditions are established to guarantee the robust stability of genetic regulatory networks. Stability conditions are derived in the form of LMIs, which are very easy to be verified. An example is presented to verify the theoretical results.

Keywords

biochemistry; biology; delays; genetics; linear matrix inequalities; macromolecules; proteins; stability; time-varying systems; Lyapunov functional approach; distributed time-varying delay; linear matrix inequality; mRNA; noise perturbation; protein dynamics; robust stability analysis; stochastic genetic regulatory network; stochastic perturbation; Biological system modeling; Delay effects; Differential equations; Genetics; Proteins; Robust stability; Stochastic processes; Stochastic resonance; Stochastic systems; Working environment noise; LMI; genetic regulatory networks; stochastic stability; systems biology; uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Cybernetics and Intelligent Systems (CIS), 2010 IEEE Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-6499-9

Type

conf

DOI

10.1109/ICCIS.2010.5518588

Filename

5518588