Stability analysis of a dynamical model representing gene regulatory networks
Date
2012Source Title
International Federation of Automatic Control
IFAC Proceedings Volumes
Print ISSN
1474-6670
Volume
10
Issue
14
Pages
191 - 196
Language
English
Type
Conference PaperItem Usage Stats
142
views
views
110
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downloads
Abstract
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 derivatives. We derive a set of conditions implying global stability of the genetic regulatory network under positive feedback. As a special case, we also consider homogenous genetic regulatory networks and obtain an appropriate stability condition which depends only on the parameters of the nonlinearity function. © 2012 IFAC.
Keywords
Asymptotic stabilityGene regulatory networks
Hill functions
Nonlinear time delay networks
Schwarzian derivatives
Biological process
Dynamical model
Gene regulatory networks
Genetic regulatory networks
Global stability
Hill function
Nonlinear time delays
Nonlinearity function
Schwarzian derivative
Stability analysis
Stability condition
Time-delayed feedback
Asymptotic stability
Genes
Time delay
Permalink
http://hdl.handle.net/11693/28165Published Version (Please cite this version)
https://doi.org/10.3182/20120622-3-US-4021.00020Collections
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