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
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2891-2896
Number of pages6
ISBN (Print)9781457700804
DOIs
Publication statusPublished - 2011

Publication series

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    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). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2011.5990877