Existence conditions for oscillations in cyclic gene regulatory networks with time delay

Masaaki Takada, Yutaka Hori, Shinji Hara

研究成果: Conference contribution

4 引用 (Scopus)

抜粋

In this paper, we present analytic criteria for the existence of oscillations in gene regulatory networks with cyclic structure. In particular, inherent time delays in transcription, translation and translocation process are explicitly treated, and the effects of such time delays are quantitatively revealed. We first show that local instability of the unique equilibrium state results in oscillations of protein concentrations based on the Poincaré-Bendixson theorem for cyclic time delay systems. Then, a scheme of local instability analysis for large-scale time delay systems is introduced, and the analytic criteria for the existence of oscillations are derived. The developed criteria can be applied to cyclic gene regulatory networks consisting of any number of genes, and they are expressed only in terms of biochemical parameters, which lead to fruitful biological insight.

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830-835
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

ASJC Scopus subject areas

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

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  • これを引用

    Takada, M., Hori, Y., & Hara, S. (2010). Existence conditions for oscillations in cyclic gene regulatory networks with time delay. : 2010 IEEE International Conference on Control Applications, CCA 2010 (pp. 830-835). [5611130] (Proceedings of the IEEE International Conference on Control Applications). https://doi.org/10.1109/CCA.2010.5611130