Oscillation pattern analysis for gene regulatory networks with negative cyclic feedback

Yutaka Hori, Shinji Hara

研究成果: Conference contribution

2 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトル2010 49th IEEE Conference on Decision and Control, CDC 2010
出版社Institute of Electrical and Electronics Engineers Inc.
ページ5798-5803
ページ数6
ISBN(印刷版)9781424477456
DOI
出版ステータスPublished - 2010
外部発表はい
イベント49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
継続期間: 2010 12月 152010 12月 17

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0743-1546
ISSN(電子版)2576-2370

Conference

Conference49th IEEE Conference on Decision and Control, CDC 2010
国/地域United States
CityAtlanta
Period10/12/1510/12/17

ASJC Scopus subject areas

  • 制御およびシステム工学
  • モデリングとシミュレーション
  • 制御と最適化

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