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dc.contributor.author
Deza, Roberto Raul
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Deza, Juan Ignacio
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Martinez, Nataniel
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Mejías, Jorge F.
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Wio, Horacio S.
dc.date.available
2020-12-11T16:13:42Z
dc.date.issued
2019-01
dc.identifier.citation
Deza, Roberto Raul; Deza, Juan Ignacio; Martinez, Nataniel; Mejías, Jorge F.; Wio, Horacio S.; A nonequilibrium-potential approach to competition in neural populations; Frontiers Media S.A.; Frontiers in Physics; 6; JAN; 1-2019
dc.identifier.uri
http://hdl.handle.net/11336/120231
dc.description.abstract
Energy landscapes are a highly useful aid for the understanding of dynamical systems, and a particularly valuable tool for their analysis. For a broad class of rate neural-network models of relevance in neuroscience, we derive a global Lyapunov function which provides an energy landscape without any symmetry constraint. This newly obtained "nonequilibrium potential" (NEP)-the first one obtained for a model of neural circuits-predicts with high accuracy the outcomes of the dynamics in the globally stable cases studied here. Common features of the models in this class are bistability-with implications for working memory and slow neural oscillations-and population bursts, associated with signal detection in neuroscience. Instead, limit cycles are not found for the conditions in which the NEP is defined. Their nonexistence can be proven by resorting to the Bendixson-Dulac theorem, at least when the NEP remains positive and in the (also generic) singular limit of these models. This NEP constitutes a powerful tool to understand average neural network dynamics from a more formal standpoint, and will also be of help in the description of large heterogeneous neural networks.
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application/pdf
dc.language.iso
eng
dc.publisher
Frontiers Media S.A.
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BISTABILITY
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ENERGY LANDSCAPE
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FIRING RATE DYNAMICS
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NEURAL NETWORKS
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NONEQUILIBRIUM POTENTIAL
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Otras Ciencias Físicas
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A nonequilibrium-potential approach to competition in neural populations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-30T14:17:25Z
dc.identifier.eissn
2296-424X
dc.journal.volume
6
dc.journal.number
JAN
dc.journal.pais
España
dc.journal.ciudad
Zaragoza
dc.description.fil
Fil: Deza, Roberto Raul. Universidad Nacional de Mar del Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.description.fil
Fil: Deza, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Atlantida Argentina; Argentina
dc.description.fil
Fil: Martinez, Nataniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata; Argentina
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Fil: Mejías, Jorge F.. Swammerdam Institute For Life Sciences; Países Bajos
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Fil: Wio, Horacio S.. Universitat de Les Illes Balears; España
dc.journal.title
Frontiers in Physics
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info:eu-repo/semantics/altIdentifier/url/https://www.frontiersin.org/articles/10.3389/fphy.2018.00154/full
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.3389/fphy.2018.00154
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