Analysis of a gene regulatory network model with time delay using the secant condition
Date
2016-10-04Source Title
IEEE Life Sciences Letters
Print ISSN
2332-7685
Publisher
IEEE
Volume
2
Issue
2
Pages
5 - 8
Language
English
Type
ArticleItem Usage Stats
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Abstract
A cyclic model for gene regulatory networks with time delayed negative feedback is analyzed
using an extension of the so-called secant condition, which is originally developed for systems without time
delays. It is shown that suf cient conditions obtained earlier for delay-independent local stability can be
further improved for homogenous networks to obtain delay-dependent necessary and suf cient conditions,
which are expressed in terms of the parameters of the Hill-type nonlinearity.
Keywords
Gene regulatory networks (GRNs)Local stability
Negative feedback
Secant condition
Time delay systems