Name
Abstract | ||
|---|---|---|
Modeling genetic regulatory networks in terms of differential equations with time delays provides a powerful tool for understanding gene regulatory processes in living organisms. In this paper we studied the globally delay-independent stability ring-structured genetic regulatory networks. We first present a sufficient condition for globally delay-independent stability of such genetic regulatory networks, based on the M-matrix theory. Then this sufficient condition is reduced to determine if the roots of a polynomial lie in the right complex plane. Finally, autoregulatory network and repressilatory network are employed to illustrate the theorems developed in this study. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/CCECE.2011.6030461 | CCECE |
Keywords | Field | DocType |
bifurcation,living systems,autoregulatory network,ring-structured genetic regulatory networks,m-matrix theory,genetics,globally delay-independent stability,repressilatory network,time delays,stability analysis,proteins,mathematical model | Differential equation,Mathematical optimization,Living systems,Computer science,Complex plane,Control engineering,Properties of polynomial roots,Bifurcation | Conference |
Volume | Issue | ISSN |
null | null | 0840-7789 E-ISBN : 978-1-4244-9787-4 |
ISBN | Citations | PageRank |
978-1-4244-9787-4 | 1 | 0.35 |
References | Authors | |
3 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Li-Ping Tian | 1 | 9 | 1.51 |
| FangXiang Wu | 2 | 760 | 76.89 |