Stability analysis of a dynamical model representing gene regulatory networks

Mehmet Eren Ahsen, Hitay Özbay, Silviu Iulian Niculescu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationBook of Abstracts - 10th IFAC Workshop on Time Delay Systems, TDS-2012
Pages191-196
Number of pages6
EditionPART 1
DOIs
StatePublished - Sep 17 2012
Externally publishedYes
Event10th IFAC Workshop on Time Delay Systems, TDS-2012 - Boston, MA, United States
Duration: Jun 22 2012Jun 24 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume10
ISSN (Print)1474-6670

Conference

Conference10th IFAC Workshop on Time Delay Systems, TDS-2012
Country/TerritoryUnited States
CityBoston, MA
Period6/22/126/24/12

Keywords

  • Asymptotic stability
  • Gene regulatory networks
  • Hill functions
  • Nonlinear time delay networks
  • Schwarzian derivatives

ASJC Scopus subject areas

  • Control and Systems Engineering

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