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Synchronization of Coupled Nonidentical Genetic Oscillators

Authors
  • Li, Chunguang
  • Chen, Luonan
  • Aihara, Kazuyuki
Type
Published Article
Publication Date
Feb 09, 2006
Submission Date
Feb 09, 2006
Identifiers
DOI: 10.1088/1478-3975/3/1/004
arXiv ID: nlin/0602021
Source
arXiv
License
Unknown
External links

Abstract

The study on the collective dynamics of synchronization among genetic oscillators is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. Genetic oscillators are biochemical networks, which can generally be modelled as nonlinear dynamic systems. We show in this paper that many genetic oscillators can be transformed into Lur'e form by exploiting the special structure of biological systems. By using control theory approach, we provide a theoretical method for analyzing the synchronization of coupled nonidentical genetic oscillators. Sufficient conditions for the synchronization as well as the estimation of the bound of the synchronization error are also obtained. To demonstrate the effectiveness of our theoretical results, a population of genetic oscillators based on the Goodwin model are adopted as numerical examples.

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