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

1 引用 (Scopus)

抜粋

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.

元の言語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
出版物ステータスPublished - 2010 12 1
外部発表Yes
イベント2010 IEEE International Conference on Control Applications, CCA 2010 - Yokohama, Japan
継続期間: 2010 9 82010 9 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
Japan
Yokohama
期間10/9/810/9/10

    フィンガープリント

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Mathematics(all)

これを引用

Hori, Y., Hara, S., & Kim, T. H. (2010). Periodic oscillations in cyclic repressor networks: Analytic existence criteria with biological insight. : 2010 IEEE International Conference on Control Applications, CCA 2010 (pp. 824-829). [5611167] (Proceedings of the IEEE International Conference on Control Applications). https://doi.org/10.1109/CCA.2010.5611167