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Accepted (AM)Open Access (License Unspecified), Open
Journal article
Dynamical quorum-sensing in oscillators coupled through an external medium
Physica. D, v 241(21), pp 1782-1788
01 Nov 2012
PMID: 23087494
Abstract
Many biological and physical systems exhibit population-density-dependent transitions to synchronized oscillations in a process often termed "dynamical quorum sensing". Synchronization frequently arises through chemical communication via signaling molecules distributed through an external medium. We study a simple theoretical model for dynamical quorum sensing: a heterogenous population of limit-cycle oscillators diffusively coupled through a common medium. We show that this model exhibits a rich phase diagram with four qualitatively distinct physical mechanisms that can lead to a loss of coherent population-level oscillations, including a novel mechanism arising from effective time-delays introduced by the external medium. We derive a single pair of analytic equations that allow us to calculate phase boundaries as a function of population density and show that the model reproduces many of the qualitative features of recent experiments on Belousov-Zhabotinsky catalytic particles as well as synthetically engineered bacteria. (C) 2012 Elsevier B.V. All rights reserved.
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Details
- Title
- Dynamical quorum-sensing in oscillators coupled through an external medium
- Creators
- David J. Schwab - Princeton UniversityAnia Baetica - Princeton UniversityPankaj Mehta - Boston University
- Publication Details
- Physica. D, v 241(21), pp 1782-1788
- Publisher
- Elsevier
- Number of pages
- 7
- Grant note
- PHY-0957573 / NSF; National Science Foundation (NSF) HR0011-05-1-0057 / DARPA; United States Department of Defense; Defense Advanced Research Projects Agency (DARPA) K25GM086909 / NIH; United States Department of Health & Human Services; National Institutes of Health (NIH) - USA K25GM086909 / NATIONAL INSTITUTE OF GENERAL MEDICAL SCIENCES; United States Department of Health & Human Services; National Institutes of Health (NIH) - USA; NIH National Institute of General Medical Sciences (NIGMS)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:000310824400002
- Scopus ID
- 2-s2.0-84866734314
- Other Identifier
- 991021890005304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Fluids & Plasmas
- Physics, Mathematical
- Physics, Multidisciplinary