Collective Oscillation Period of Inter-Coupled Biological Negative Cyclic Feedback Oscillators

Yongqiang Wang, Yutaka Hori, Shinji Hara, Francis J. Doyle

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


A number of biological rhythms originate from networks comprised of multiple cellular oscillators. But analytical results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has been reported, may be different from that of an autonomous oscillator. Based on cyclic feedback oscillators, we analyze the collective oscillation pattern of coupled cellular oscillators. First we give a condition under which the oscillator network exhibits oscillatory and synchronized behavior. Then we estimate the collective oscillation period based on a novel multivariable harmonic balance technique. Analytical results are derived in terms of biochemical parameters, thus giving insight into the basic mechanism of biological oscillation and providing guidance in synthetic biology design.

Original languageEnglish
Article number6862832
Pages (from-to)1392-1397
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number5
Publication statusPublished - 2015 May 1
Externally publishedYes


  • Collective period
  • cyclic feedback oscillators
  • multivariable harmonic balance technique
  • oscillator networks

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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