Robust stability analysis of geneprotein regulatory networks with cyclic activationrepression interconnections

Tae Hyoung Kim, Yutaka Hori, Shinji Hara

研究成果: Article

10 引用 (Scopus)

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This paper investigates analytic robust stability criteria for large-scale cyclic geneprotein regulatory network systems consisting of genes with heterogeneous dynamics combined with parametric or unstructured uncertainties from a control-theoretic viewpoint. We first consider a class of gene expressions, which is described as an uncertain linear transcriptiontranslation model (LTTM) with feedback loops from translation products to transcription. Next, we show that such a model belong to a class of large-scale dynamical linear network systems with a generalized frequency variable. Then, we derive robust stability criteria systematically for the following two types of biological uncertain LTTM: (i) LTTMs consisting of heterogeneous gene dynamics with parametric uncertainties and (ii) LTTMs consisting of homogeneous nominal gene dynamics with unstructured uncertainties. These criteria provide fairly simple analysis methodologies, which can be readily applied to the analysis for large-scale genetic regulatory networks and give some biological insight.

元の言語English
ページ(範囲)373-382
ページ数10
ジャーナルSystems and Control Letters
60
発行部数6
DOI
出版物ステータスPublished - 2011 6

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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