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Evolutionary Kuramoto dynamics

Biological systems have a variety of time-keeping mechanisms ranging from molecular clocks within cells to a complex interconnected unit across an entire organism. The suprachiasmatic nucleus, comprising interconnected oscillatory neurons, serves as a master-clock in mammals. The ubiquity of such sy...

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Autores principales: Tripp, Elizabeth A., Fu, Feng, Pauls, Scott D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9653234/
https://www.ncbi.nlm.nih.gov/pubmed/36350204
http://dx.doi.org/10.1098/rspb.2022.0999
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author Tripp, Elizabeth A.
Fu, Feng
Pauls, Scott D.
author_facet Tripp, Elizabeth A.
Fu, Feng
Pauls, Scott D.
author_sort Tripp, Elizabeth A.
collection PubMed
description Biological systems have a variety of time-keeping mechanisms ranging from molecular clocks within cells to a complex interconnected unit across an entire organism. The suprachiasmatic nucleus, comprising interconnected oscillatory neurons, serves as a master-clock in mammals. The ubiquity of such systems indicates an evolutionary benefit that outweighs the cost of establishing and maintaining them, but little is known about the process of evolutionary development. To begin to address this shortfall, we introduce and analyse a new evolutionary game theoretic framework modelling the behaviour and evolution of systems of coupled oscillators. Each oscillator is characterized by a pair of dynamic behavioural dimensions, a phase and a communication strategy, along which evolution occurs. We measure success of mutations by comparing the benefit of synchronization balanced against the cost of connections between the oscillators. Despite the simple set-up, this model exhibits non-trivial behaviours mimicking several different classical games—the Prisoner’s Dilemma, snowdrift games, coordination games—as the landscape of the oscillators changes over time. Across many situations, we find a surprisingly simple characterization of synchronization through connectivity and communication: if the benefit of synchronization is greater than twice the cost, the system will evolve towards complete communication and phase synchronization.
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spelling pubmed-96532342022-11-22 Evolutionary Kuramoto dynamics Tripp, Elizabeth A. Fu, Feng Pauls, Scott D. Proc Biol Sci Evolution Biological systems have a variety of time-keeping mechanisms ranging from molecular clocks within cells to a complex interconnected unit across an entire organism. The suprachiasmatic nucleus, comprising interconnected oscillatory neurons, serves as a master-clock in mammals. The ubiquity of such systems indicates an evolutionary benefit that outweighs the cost of establishing and maintaining them, but little is known about the process of evolutionary development. To begin to address this shortfall, we introduce and analyse a new evolutionary game theoretic framework modelling the behaviour and evolution of systems of coupled oscillators. Each oscillator is characterized by a pair of dynamic behavioural dimensions, a phase and a communication strategy, along which evolution occurs. We measure success of mutations by comparing the benefit of synchronization balanced against the cost of connections between the oscillators. Despite the simple set-up, this model exhibits non-trivial behaviours mimicking several different classical games—the Prisoner’s Dilemma, snowdrift games, coordination games—as the landscape of the oscillators changes over time. Across many situations, we find a surprisingly simple characterization of synchronization through connectivity and communication: if the benefit of synchronization is greater than twice the cost, the system will evolve towards complete communication and phase synchronization. The Royal Society 2022-11-09 2022-11-09 /pmc/articles/PMC9653234/ /pubmed/36350204 http://dx.doi.org/10.1098/rspb.2022.0999 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Evolution
Tripp, Elizabeth A.
Fu, Feng
Pauls, Scott D.
Evolutionary Kuramoto dynamics
title Evolutionary Kuramoto dynamics
title_full Evolutionary Kuramoto dynamics
title_fullStr Evolutionary Kuramoto dynamics
title_full_unstemmed Evolutionary Kuramoto dynamics
title_short Evolutionary Kuramoto dynamics
title_sort evolutionary kuramoto dynamics
topic Evolution
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9653234/
https://www.ncbi.nlm.nih.gov/pubmed/36350204
http://dx.doi.org/10.1098/rspb.2022.0999
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