Oscillations in the bistable regime of neuronal networks

Bistability between attracting fixed points in neuronal networks has been hypothesized to underlie persistent activity observed in several cortical areas during working memory tasks. In network models this kind of bistability arises due to strong recurrent excitation, sufficient to generate a state...

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Detalles Bibliográficos
Autores: Roxin, Alex, Compte Braquets, Albert
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/208084
Acceso en línea:https://hdl.handle.net/2445/208084
Access Level:acceso abierto
Palabra clave:Cervell
Neurones
Brain
Neurons
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spelling Oscillations in the bistable regime of neuronal networksRoxin, AlexCompte Braquets, AlbertCervellNeuronesBrainNeuronsBistability between attracting fixed points in neuronal networks has been hypothesized to underlie persistent activity observed in several cortical areas during working memory tasks. In network models this kind of bistability arises due to strong recurrent excitation, sufficient to generate a state of high activity created in a saddle-node (SN) bifurcation. On the other hand, canonical network models of excitatory and inhibitory neurons (E-I networks) robustly produce oscillatory states via a Hopf (H) bifurcation due to the E-I loop. This mechanism for generating oscillations has been invoked to explain the emergence of brain rhythms in the ? to ? bands. Although both bistability and oscillatory activity have been intensively studied in network models, there has not been much focus on the coincidence of the two. Here we show that when oscillations emerge in E-I networks in the bistable regime, their phenomenology can be explained to a large extent by considering coincident SN and H bifurcations, known as a codimension two Takens-Bogdanov bifurcation. In particular, we find that such oscillations are not composed of a stable limit cycle, but rather are due to noise-driven oscillatory fluctuations. Furthermore, oscillations in the bistable regime can, in principle, have arbitrarily low frequency.American Physical Society (APS)2024202420162024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion17 p.application/pdfhttps://hdl.handle.net/2445/208084Articles publicats en revistes (IDIBAPS: Institut d'investigacions Biomèdiques August Pi i Sunyer)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.1103/PhysRevE.94.012410Physical Review e, 2016, vol. 94, num. 1, p. 012410https://doi.org/10.1103/PhysRevE.94.012410(c) American Physical Society, 2016info:eu-repo/semantics/openAccessoai:recercat.cat:2445/2080842026-05-29T05:05:01Z
dc.title.none.fl_str_mv Oscillations in the bistable regime of neuronal networks
title Oscillations in the bistable regime of neuronal networks
spellingShingle Oscillations in the bistable regime of neuronal networks
Roxin, Alex
Cervell
Neurones
Brain
Neurons
title_short Oscillations in the bistable regime of neuronal networks
title_full Oscillations in the bistable regime of neuronal networks
title_fullStr Oscillations in the bistable regime of neuronal networks
title_full_unstemmed Oscillations in the bistable regime of neuronal networks
title_sort Oscillations in the bistable regime of neuronal networks
dc.creator.none.fl_str_mv Roxin, Alex
Compte Braquets, Albert
author Roxin, Alex
author_facet Roxin, Alex
Compte Braquets, Albert
author_role author
author2 Compte Braquets, Albert
author2_role author
dc.subject.none.fl_str_mv Cervell
Neurones
Brain
Neurons
topic Cervell
Neurones
Brain
Neurons
description Bistability between attracting fixed points in neuronal networks has been hypothesized to underlie persistent activity observed in several cortical areas during working memory tasks. In network models this kind of bistability arises due to strong recurrent excitation, sufficient to generate a state of high activity created in a saddle-node (SN) bifurcation. On the other hand, canonical network models of excitatory and inhibitory neurons (E-I networks) robustly produce oscillatory states via a Hopf (H) bifurcation due to the E-I loop. This mechanism for generating oscillations has been invoked to explain the emergence of brain rhythms in the ? to ? bands. Although both bistability and oscillatory activity have been intensively studied in network models, there has not been much focus on the coincidence of the two. Here we show that when oscillations emerge in E-I networks in the bistable regime, their phenomenology can be explained to a large extent by considering coincident SN and H bifurcations, known as a codimension two Takens-Bogdanov bifurcation. In particular, we find that such oscillations are not composed of a stable limit cycle, but rather are due to noise-driven oscillatory fluctuations. Furthermore, oscillations in the bistable regime can, in principle, have arbitrarily low frequency.
publishDate 2016
dc.date.none.fl_str_mv 2016
2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/208084
url https://hdl.handle.net/2445/208084
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1103/PhysRevE.94.012410
Physical Review e, 2016, vol. 94, num. 1, p. 012410
https://doi.org/10.1103/PhysRevE.94.012410
dc.rights.none.fl_str_mv (c) American Physical Society, 2016
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2016
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 17 p.
application/pdf
dc.publisher.none.fl_str_mv American Physical Society (APS)
publisher.none.fl_str_mv American Physical Society (APS)
dc.source.none.fl_str_mv Articles publicats en revistes (IDIBAPS: Institut d'investigacions Biomèdiques August Pi i Sunyer)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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