A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks
IFAC Proceedings Volumes (IFAC-PapersOnline)
171 - 176
Item Usage Stats
MetadataShow full item record
A stability condition is derived for cyclic systems with time delayed negative feedback. The result is an extension of the so-called secant condition, which is originally developed for systems without time delays. This extension of the secant condition gives a new local stability condition for a model of GRNs (Gene Regulatory Networks) under negative feedback. Stability robustness of homogenous networks is also investigated. © 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
KeywordsGene Regulatory Networks
Delay control systems
Gene regulatory networks
Published Version (Please cite this version)http://dx.doi.org/10.1016/j.ifacol.2015.09.372
Showing items related by title, author, creator and subject.
Özbay, H.; Bonnet, C.; Benjelloun, H.; Clairambault, J. (E D P Sciences, 2012)In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling ...
Ahsen, M. E.; Özbay, Hitay; Niculescu, S. I. (2012)In this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian ...
Yan, P.; Özbay, H. (2008)This paper addresses the asymptotic stability of switched time delay systems with heterogenous time invariant time delays. Piecewise Lyapunov-Razumikhin functions are introduced for the switching candidate systems to ...