Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential

Abstract Gamma oscillation is crucial in brain functions such as attentional selection, and is inextricably linked to both heterogeneity and noise (or so-called stochastic fluctuation) in neuronal networks. However, under coexistence of these factors, it has not been clarified how the synaptic rever...

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Autores principales:	Tianyi Zheng, Kiyoshi Kotani, Yasuhiko Jimbo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/527e5f5ed84043e0920c5ccb81a2254a
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spelling	oai:doaj.org-article:527e5f5ed84043e0920c5ccb81a2254a2021-12-02T17:45:20ZDistinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential10.1038/s41598-021-91389-82045-2322https://doaj.org/article/527e5f5ed84043e0920c5ccb81a2254a2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91389-8https://doaj.org/toc/2045-2322Abstract Gamma oscillation is crucial in brain functions such as attentional selection, and is inextricably linked to both heterogeneity and noise (or so-called stochastic fluctuation) in neuronal networks. However, under coexistence of these factors, it has not been clarified how the synaptic reversal potential modulates the entraining of gamma oscillation. Here we show distinct effects of heterogeneity and noise in a population of modified theta neurons randomly coupled via GABAergic synapses. By introducing the Fokker-Planck equation and circular cumulants, we derive a set of two-cumulant macroscopic equations. In bifurcation analyses, we find a stabilizing effect of heterogeneity and a nontrivial effect of noise that results in promoting, diminishing, and shifting the oscillatory region, and is largely dependent on the reversal potential of GABAergic synapses. These findings are verified by numerical simulations of a finite-size neuronal network. Our results reveal that slight changes in reversal potential and magnitude of stochastic fluctuations can lead to immediate control of gamma oscillation, which would results in complex spatio-temporal dynamics for attentional selection and recognition.Tianyi ZhengKiyoshi KotaniYasuhiko JimboNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tianyi Zheng Kiyoshi Kotani Yasuhiko Jimbo Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
description	Abstract Gamma oscillation is crucial in brain functions such as attentional selection, and is inextricably linked to both heterogeneity and noise (or so-called stochastic fluctuation) in neuronal networks. However, under coexistence of these factors, it has not been clarified how the synaptic reversal potential modulates the entraining of gamma oscillation. Here we show distinct effects of heterogeneity and noise in a population of modified theta neurons randomly coupled via GABAergic synapses. By introducing the Fokker-Planck equation and circular cumulants, we derive a set of two-cumulant macroscopic equations. In bifurcation analyses, we find a stabilizing effect of heterogeneity and a nontrivial effect of noise that results in promoting, diminishing, and shifting the oscillatory region, and is largely dependent on the reversal potential of GABAergic synapses. These findings are verified by numerical simulations of a finite-size neuronal network. Our results reveal that slight changes in reversal potential and magnitude of stochastic fluctuations can lead to immediate control of gamma oscillation, which would results in complex spatio-temporal dynamics for attentional selection and recognition.
format	article
author	Tianyi Zheng Kiyoshi Kotani Yasuhiko Jimbo
author_facet	Tianyi Zheng Kiyoshi Kotani Yasuhiko Jimbo
author_sort	Tianyi Zheng
title	Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
title_short	Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
title_full	Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
title_fullStr	Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
title_full_unstemmed	Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
title_sort	distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/527e5f5ed84043e0920c5ccb81a2254a
work_keys_str_mv	AT tianyizheng distincteffectsofheterogeneityandnoiseongammaoscillationinamodelofneuronalnetworkwithdifferentreversalpotential AT kiyoshikotani distincteffectsofheterogeneityandnoiseongammaoscillationinamodelofneuronalnetworkwithdifferentreversalpotential AT yasuhikojimbo distincteffectsofheterogeneityandnoiseongammaoscillationinamodelofneuronalnetworkwithdifferentreversalpotential
_version_	1718379585974829056

Distinct effects of heterogeneity and noise on gamma oscillation in a model of neuronal network with different reversal potential

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