Oscillation pattern analysis for gene regulatory networks with negative cyclic feedback

Yutaka Hori, Shinji Hara

研究成果: Conference contribution

2 引用 (Scopus)

抜粋

Negative cyclic feedback has been considered to be a core circuit to produce sustained oscillations in gene regulatory networks. In this paper, we investigate quantitative properties of the periodic oscillations observed in cyclic gene regulatory networks with negative feedback, and we provide analytic estimates of frequency, phase and amplitude. We employ the harmonic balance method, which is one of the frequency domain techniques to examine nonlinear oscillatory behaviors by approximating with bias and first order harmonic components. We then solve the harmonic balance equations by utilizing the structure of gene expression dynamics. The presented estimates are analytically written only in terms of essential biochemical parameters proposed in authors' previous work, and hence they can be easily applied to large-scale cyclic gene regulatory networks involving any number of genes. Our results are demonstrated with illustrative numerical examples, and some novel biological insights are presented.

元の言語English
ホスト出版物のタイトル2010 49th IEEE Conference on Decision and Control, CDC 2010
ページ5798-5803
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 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
継続期間: 2010 12 152010 12 17

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷物)0191-2216

Other

Other2010 49th IEEE Conference on Decision and Control, CDC 2010
United States
Atlanta, GA
期間10/12/1510/12/17

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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  • これを引用

    Hori, Y., & Hara, S. (2010). Oscillation pattern analysis for gene regulatory networks with negative cyclic feedback. : 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 5798-5803). [5717982] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2010.5717982