Periodic oscillations in cyclic repressor networks: Analytic existence criteria with biological insight

Yutaka Hori, Shinji Hara, Tae Hyoung Kim

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

1 Citation (Scopus)

Abstract

In this paper, we derive an analytic criterion for the existence of periodic oscillations in cyclic gene regulatory networks where each protein represses another gene expression in a cyclic way. We analyze local instability properties of large-scale cyclic gene regulatory networks based on the result which shows that local instability of an equilibrium point globally guarantees the existence of periodic oscillations. The developed criterion has the following distinctive features: (i) it is applicable to cyclic gene regulatory networks consisting of any number of genes, (ii) the dependence of an equilibrium state on biochemical parameters is explicitly considered, and (iii) it depends only on the given biochemical parameters. Thus, the derived condition can explicitly show how each parameter affects the existence of periodic oscillations. Furthermore, it provides us with novel biological insight on decisive physical quantities for the existence of periodic oscillations, and their quantitative relations with periodic oscillations.

Original languageEnglish
Title of host publication2010 IEEE International Conference on Control Applications, CCA 2010
Pages824-829
Number of pages6
DOIs
Publication statusPublished - 2010 Dec 1
Externally publishedYes
Event2010 IEEE International Conference on Control Applications, CCA 2010 - Yokohama, Japan
Duration: 2010 Sep 82010 Sep 10

Publication series

NameProceedings of the IEEE International Conference on Control Applications

Other

Other2010 IEEE International Conference on Control Applications, CCA 2010
CountryJapan
CityYokohama
Period10/9/810/9/10

ASJC Scopus subject areas

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

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