A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks

Date
2015
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Source Title
Proceedings of the 12th IFAC Workshop on Time Delay Systems
Print ISSN
1474-6670
Electronic ISSN
Publisher
IFAC
Volume
48
Issue
Pages
171 - 176
Language
English
Type
Conference Paper
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Abstract

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.

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Keywords
Gene regulatory networks, Local stability, Secant condition, Time delay, Delay control systems
Citation
Published Version (Please cite this version)