The collective oscillation period of inter-coupled Goodwin oscillators

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

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Many biological oscillators are arranged in networks composed of many inter-coupled cellular oscillators. However, results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has been reported, may be different from the oscillation period of an autonomous cellular oscillator. Based on the Goodwin oscillator, we analyze the collective oscillation pattern of coupled cellular oscillator networks. 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 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. Simulation results are given to confirm the theoretical predictions.

Original languageEnglish
Article number6426590
Pages (from-to)1627-1632
Number of pages6
JournalUnknown Journal
DOIs
Publication statusPublished - 2012
Externally publishedYes

Fingerprint

Synthetic Biology
Biological Clocks
Coupled Oscillators
Regulator Genes
Genes
Oscillation
biology
simulation
Harmonic Balance
Guidance
Gene
Prediction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

The collective oscillation period of inter-coupled Goodwin oscillators. / Wang, Yongqiang; Hori, Yutaka; Hara, Shinji; Doyle, Francis J.

In: Unknown Journal, 2012, p. 1627-1632.

Research output: Contribution to journalArticle

Wang, Yongqiang ; Hori, Yutaka ; Hara, Shinji ; Doyle, Francis J. / The collective oscillation period of inter-coupled Goodwin oscillators. In: Unknown Journal. 2012 ; pp. 1627-1632.
@article{fceb6c699449490a8ee8a27ae3c4a88e,
title = "The collective oscillation period of inter-coupled Goodwin oscillators",
abstract = "Many biological oscillators are arranged in networks composed of many inter-coupled cellular oscillators. However, results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has been reported, may be different from the oscillation period of an autonomous cellular oscillator. Based on the Goodwin oscillator, we analyze the collective oscillation pattern of coupled cellular oscillator networks. 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 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. Simulation results are given to confirm the theoretical predictions.",
author = "Yongqiang Wang and Yutaka Hori and Shinji Hara and Doyle, {Francis J.}",
year = "2012",
doi = "10.1109/CDC.2012.6426590",
language = "English",
pages = "1627--1632",
journal = "Mathematical Social Sciences",
issn = "0165-4896",
publisher = "Elsevier",

}

TY - JOUR

T1 - The collective oscillation period of inter-coupled Goodwin oscillators

AU - Wang, Yongqiang

AU - Hori, Yutaka

AU - Hara, Shinji

AU - Doyle, Francis J.

PY - 2012

Y1 - 2012

N2 - Many biological oscillators are arranged in networks composed of many inter-coupled cellular oscillators. However, results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has been reported, may be different from the oscillation period of an autonomous cellular oscillator. Based on the Goodwin oscillator, we analyze the collective oscillation pattern of coupled cellular oscillator networks. 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 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. Simulation results are given to confirm the theoretical predictions.

AB - Many biological oscillators are arranged in networks composed of many inter-coupled cellular oscillators. However, results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has been reported, may be different from the oscillation period of an autonomous cellular oscillator. Based on the Goodwin oscillator, we analyze the collective oscillation pattern of coupled cellular oscillator networks. 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 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. Simulation results are given to confirm the theoretical predictions.

UR - http://www.scopus.com/inward/record.url?scp=84874232089&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874232089&partnerID=8YFLogxK

U2 - 10.1109/CDC.2012.6426590

DO - 10.1109/CDC.2012.6426590

M3 - Article

SP - 1627

EP - 1632

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

M1 - 6426590

ER -