ArticlePhysica D. Nonlinear phenomena2012
Dynamical quorum-sensing in oscillators coupled through an external medium.
Article in Physica D. Nonlinear phenomena, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Cellular diffusion processes in singularly perturbed domains.Journal of mathematical biology · 2024Review
- Arnold tongues in oscillator systems with nonuniform spatial driving.Physical review. E · 2021Article
- Partial synchronisation of glycolytic oscillations in yeast cell populations.Scientific reports · 2020Article
- Sustainability of Transient Kinetic Regimes and Origins of Death.Scientific reports · 2016Article
- Modeling oscillations and spiral waves in Dictyostelium populations.Physical review. E, Statistical, nonlinear, and soft matter physics · 2015Article
- From intracellular signaling to population oscillations: bridging size- and time-scales in collective behavior.Molecular systems biology · 2015Article
- Modeling of the ComRS Signaling Pathway Reveals the Limiting Factors Controlling Competence in Streptococcus thermophilus.Frontiers in microbiology · 2015Article
- Synchronization of degrade-and-fire oscillations via a common activator.Physical review letters · 2014Article
- Secreting and sensing the same molecule allows cells to achieve versatile social behaviors.Science (New York, N.Y.) · 2014Article
- Kuramoto model with coupling through an external medium.Chaos (Woodbury, N.Y.) · 2012Article
Corrections and comments
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Authors and funding
3 authors.
Funding
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 BZ catalytic particles as well as synthetically engineered bacteria.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.