Periodic oscillations in cyclic repressor networks: Analytic existence criteria with biological insight

Yutaka Hori, Shinji Hara, Tae Hyoung Kim

研究成果: Conference contribution

2 被引用数 (Scopus)

抄録

In this paper, we derive an analytic criterion for the existence of periodic oscillations in cyclic gene regulatory networks where each protein represses another gene expression in a cyclic way. We analyze local instability properties of large-scale cyclic gene regulatory networks based on the result which shows that local instability of an equilibrium point globally guarantees the existence of periodic oscillations. The developed criterion has the following distinctive features: (i) it is applicable to cyclic gene regulatory networks consisting of any number of genes, (ii) the dependence of an equilibrium state on biochemical parameters is explicitly considered, and (iii) it depends only on the given biochemical parameters. Thus, the derived condition can explicitly show how each parameter affects the existence of periodic oscillations. Furthermore, it provides us with novel biological insight on decisive physical quantities for the existence of periodic oscillations, and their quantitative relations with periodic oscillations.

本文言語English
ホスト出版物のタイトル2010 IEEE International Conference on Control Applications, CCA 2010
ページ824-829
ページ数6
DOI
出版ステータスPublished - 2010 12月 1
外部発表はい
イベント2010 IEEE International Conference on Control Applications, CCA 2010 - Yokohama, Japan
継続期間: 2010 9月 82010 9月 10

出版物シリーズ

名前Proceedings of the IEEE International Conference on Control Applications

Other

Other2010 IEEE International Conference on Control Applications, CCA 2010
国/地域Japan
CityYokohama
Period10/9/810/9/10

ASJC Scopus subject areas

  • 制御およびシステム工学
  • コンピュータ サイエンスの応用
  • 数学一般

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