Robust stability analysis for cyclic gene regulatory networks with uncertainty

Syuhei Osawa, Yutaka Hori, Shinji Hara

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

3 Citations (Scopus)

Abstract

This paper investigates robustness properties of gene regulatory networks with cyclic interconnections. In particular, we treat the heterogeneity of the gene's dynamics using a framework of robustness analysis, and derive necessary and sufficient conditions for robust stability. To this end, we first present a mathematical formulation of the gene regulatory network where dynamics of gene expression has a certain degree of uncertainty. Then, graphical and analytic criteria for robust stability are derived based on a robustness analysis scheme for large-scale multi-agent systems. These conditions are easily applicable to large-scale gene regulatory networks, which involve many components. Finally, the results are interpreted from a biological viewpoint, and they are verified by numerical simulations.

Original languageEnglish
Title of host publicationASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings
Pages869-874
Number of pages6
Publication statusPublished - 2011 Aug 29
Externally publishedYes
Event8th Asian Control Conference, ASCC 2011 - Kaohsiung, Taiwan, Province of China
Duration: 2011 May 152011 May 18

Publication series

NameASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

Other

Other8th Asian Control Conference, ASCC 2011
CountryTaiwan, Province of China
CityKaohsiung
Period11/5/1511/5/18

ASJC Scopus subject areas

  • Control and Systems Engineering

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