Stability of genetic regulatory networks based on switched systems and mixed time-delays

被引：31
作者：
Wang, Lan [1 ,2 ]
Luo, Zong-Ping [1 ]
Yang, Hui-Lin [1 ]
Cao, Jinde [3 ]
机构：
[1] Soochow Univ, Affiliated Hosp 1, Inst Orthoped, Dept Orthoped, Suzhou 215007, Peoples R China
[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES | 2016年 / 278卷
基金：
中国国家自然科学基金;
关键词：
The switched genetic regulatory networks; Noise; Mixed time-delays; Global asymptotical stability; Lyapunov method; NEURAL-NETWORKS; ROBUST STABILITY; POINT DISSIPATIVITY; GLOBAL STABILITY; VARYING DELAYS; DESIGN; ESTIMATOR; DISCRETE; NOISE;
D O I：
10.1016/j.mbs.2016.06.004
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, the switched genetic regulatory networks (GRNs) are modeled from a real biological system, based on switched systems, noise and mixed time-delays. Global asymptotical stability for the proposed switched GRNs are studied by the Lyapunov method and the matrix inequality techniques. Some new sufficient conditions are obtained to ensure the global asymptotical stability of the proposed switched GRNs. Furthermore, the proposed LMI results are computationally efficient as it can be solved numerically with standard commercial software. Finally, an example is provided to illustrate the usefulness of the results. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：94 / 99
页数：6
相关论文
共 36 条
[1]   Gene network shaping of inherent noise spectra [J].
Austin, DW ;
Allen, MS ;
McCollum, JM ;
Dar, RD ;
Wilgus, JR ;
Sayler, GS ;
Samatova, NF ;
Cox, CD ;
Simpson, ML .
NATURE, 2006, 439 (7076) :608-611
[2]   Modeling genetic networks and their evolution: A complex dynamical systems perspective [J].
Bornholdt, S .
BIOLOGICAL CHEMISTRY, 2001, 382 (09) :1289-1299
[3]  
Boyd S., 1994, SIAM STUDIES APPL MA
[4]   Global point dissipativity of neural networks with mixed time-varying delays [J].
Cao, JD ;
Yuan, K ;
Ho, DWC ;
Lam, J .
CHAOS, 2006, 16 (01)
[5]   Stability of genetic regulatory networks with time delay [J].
Chen, LN ;
Aihara, K .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (05) :602-608
[6]  
Chen T, 1999, Pac Symp Biocomput, P29
[7]   Modeling and simulation of genetic regulatory systems: A literature review [J].
De Jong, H .
JOURNAL OF COMPUTATIONAL BIOLOGY, 2002, 9 (01) :67-103
[8]   A tunable genetic switch based on RNAi and repressor proteins for regulating gene expression in mammalian cells [J].
Deans, Tara L. ;
Cantor, Charles R. ;
Collins, James J. .
CELL, 2007, 130 (02) :363-372
[9]   NEW CONDITIONS FOR GLOBAL STABILITY OF NEURAL NETWORKS WITH APPLICATION TO LINEAR AND QUADRATIC-PROGRAMMING PROBLEMS [J].
FORTI, M ;
TESI, A .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (07) :354-366
[10]   Construction of a genetic toggle switch in Escherichia coli [J].
Gardner, TS ;
Cantor, CR ;
Collins, JJ .
NATURE, 2000, 403 (6767) :339-342
1234