Existence conditions for oscillations in cyclic gene regulatory networks with time delay

Masaaki Takada, Yutaka Hori, Shinji Hara

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

4 Citations (Scopus)

Abstract

In this paper, we present analytic criteria for the existence of oscillations in gene regulatory networks with cyclic structure. In particular, inherent time delays in transcription, translation and translocation process are explicitly treated, and the effects of such time delays are quantitatively revealed. We first show that local instability of the unique equilibrium state results in oscillations of protein concentrations based on the Poincaré-Bendixson theorem for cyclic time delay systems. Then, a scheme of local instability analysis for large-scale time delay systems is introduced, and the analytic criteria for the existence of oscillations are derived. The developed criteria can be applied to cyclic gene regulatory networks consisting of any number of genes, and they are expressed only in terms of biochemical parameters, which lead to fruitful biological insight.

Original languageEnglish
Title of host publication2010 IEEE International Conference on Control Applications, CCA 2010
Pages830-835
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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  • Cite this

    Takada, M., Hori, Y., & Hara, S. (2010). Existence conditions for oscillations in cyclic gene regulatory networks with time delay. In 2010 IEEE International Conference on Control Applications, CCA 2010 (pp. 830-835). [5611130] (Proceedings of the IEEE International Conference on Control Applications). https://doi.org/10.1109/CCA.2010.5611130