Time delay effects on oscillation profiles in cyclic gene regulatory networks: Harmonic balance approach

Yutaka Hori, Shinji Hara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Oscillatory gene expression is closely connected to periodic physiological functions. In this paper, we provide a systematic method to study the oscillation profiles of gene expression in large-scale cyclic genetic regulatory networks based on multivariable harmonic balance. In particular, we here turn our attention to time delay in transcription and translation process, and analytically derive the relation between biological parameters and the frequency, phase and amplitude of the oscillations. Then, the roles of the time delay are revealed.

Original languageEnglish
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
Pages2891-2896
Number of pages6
Publication statusPublished - 2011 Sep 29
Externally publishedYes
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: 2011 Jun 292011 Jul 1

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA
Period11/6/2911/7/1

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Hori, Y., & Hara, S. (2011). Time delay effects on oscillation profiles in cyclic gene regulatory networks: Harmonic balance approach. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 2891-2896). [5990877] (Proceedings of the American Control Conference).