Emergent oscillations in networks of stochastic spiking neurons.

Networks of neurons produce diverse patterns of oscillations, arising from the network's global properties, the propensity of individual neurons to oscillate, or a mixture of the two. Here we describe noisy limit cycles and quasi-cycles, two related mechanisms underlying emergent oscillations i...

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Autores principales:	Edward Wallace, Marc Benayoun, Wim van Drongelen, Jack D Cowan
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2011
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7ba6c337a9f8437ca4a6b91d260d179a
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spelling	oai:doaj.org-article:7ba6c337a9f8437ca4a6b91d260d179a2021-11-18T06:54:22ZEmergent oscillations in networks of stochastic spiking neurons.1932-620310.1371/journal.pone.0014804https://doaj.org/article/7ba6c337a9f8437ca4a6b91d260d179a2011-05-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21573105/?tool=EBIhttps://doaj.org/toc/1932-6203Networks of neurons produce diverse patterns of oscillations, arising from the network's global properties, the propensity of individual neurons to oscillate, or a mixture of the two. Here we describe noisy limit cycles and quasi-cycles, two related mechanisms underlying emergent oscillations in neuronal networks whose individual components, stochastic spiking neurons, do not themselves oscillate. Both mechanisms are shown to produce gamma band oscillations at the population level while individual neurons fire at a rate much lower than the population frequency. Spike trains in a network undergoing noisy limit cycles display a preferred period which is not found in the case of quasi-cycles, due to the even faster decay of phase information in quasi-cycles. These oscillations persist in sparsely connected networks, and variation of the network's connectivity results in variation of the oscillation frequency. A network of such neurons behaves as a stochastic perturbation of the deterministic Wilson-Cowan equations, and the network undergoes noisy limit cycles or quasi-cycles depending on whether these have limit cycles or a weakly stable focus. These mechanisms provide a new perspective on the emergence of rhythmic firing in neural networks, showing the coexistence of population-level oscillations with very irregular individual spike trains in a simple and general framework.Edward WallaceMarc BenayounWim van DrongelenJack D CowanPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 6, Iss 5, p e14804 (2011)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Edward Wallace Marc Benayoun Wim van Drongelen Jack D Cowan Emergent oscillations in networks of stochastic spiking neurons.
description	Networks of neurons produce diverse patterns of oscillations, arising from the network's global properties, the propensity of individual neurons to oscillate, or a mixture of the two. Here we describe noisy limit cycles and quasi-cycles, two related mechanisms underlying emergent oscillations in neuronal networks whose individual components, stochastic spiking neurons, do not themselves oscillate. Both mechanisms are shown to produce gamma band oscillations at the population level while individual neurons fire at a rate much lower than the population frequency. Spike trains in a network undergoing noisy limit cycles display a preferred period which is not found in the case of quasi-cycles, due to the even faster decay of phase information in quasi-cycles. These oscillations persist in sparsely connected networks, and variation of the network's connectivity results in variation of the oscillation frequency. A network of such neurons behaves as a stochastic perturbation of the deterministic Wilson-Cowan equations, and the network undergoes noisy limit cycles or quasi-cycles depending on whether these have limit cycles or a weakly stable focus. These mechanisms provide a new perspective on the emergence of rhythmic firing in neural networks, showing the coexistence of population-level oscillations with very irregular individual spike trains in a simple and general framework.
format	article
author	Edward Wallace Marc Benayoun Wim van Drongelen Jack D Cowan
author_facet	Edward Wallace Marc Benayoun Wim van Drongelen Jack D Cowan
author_sort	Edward Wallace
title	Emergent oscillations in networks of stochastic spiking neurons.
title_short	Emergent oscillations in networks of stochastic spiking neurons.
title_full	Emergent oscillations in networks of stochastic spiking neurons.
title_fullStr	Emergent oscillations in networks of stochastic spiking neurons.
title_full_unstemmed	Emergent oscillations in networks of stochastic spiking neurons.
title_sort	emergent oscillations in networks of stochastic spiking neurons.
publisher	Public Library of Science (PLoS)
publishDate	2011
url	https://doaj.org/article/7ba6c337a9f8437ca4a6b91d260d179a
work_keys_str_mv	AT edwardwallace emergentoscillationsinnetworksofstochasticspikingneurons AT marcbenayoun emergentoscillationsinnetworksofstochasticspikingneurons AT wimvandrongelen emergentoscillationsinnetworksofstochasticspikingneurons AT jackdcowan emergentoscillationsinnetworksofstochasticspikingneurons
_version_	1718424237587300352

Emergent oscillations in networks of stochastic spiking neurons.

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