The Hopf whole-brain model and its linear approximation

Whole-brain models have proven to be useful to understand the emergence of collective activity among neural populations or brain regions. These models combine connectivity matrices, or connectomes, with local node dynamics, noise, and, eventually, transmission delays. Multiple choices for the local...

Descripción completa

Detalles Bibliográficos
Autores: Ponce Álvarez, Adrián Fernando|||0000-0003-1446-7392, Deco, Gustavo
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/401583
Acceso en línea:https://hdl.handle.net/2117/401583
https://dx.doi.org/10.1038/s41598-024-53105-0
Access Level:acceso abierto
Palabra clave:Neurology
Brain -- Research
Computational neuroscience
Neural circuits
Whole-brain models
Neurologia
Cervell -- Investigació
Classificació AMS::92 Biology and other natural sciences::92C Physiological, cellular and medical topics
Àrees temàtiques de la UPC::Ciències de la salut::Medicina::Neurologia
Àrees temàtiques de la UPC::Enginyeria biomèdica
id ES_a828cb6b6172b204b0cf973f4178c163
oai_identifier_str oai:upcommons.upc.edu:2117/401583
network_acronym_str ES
network_name_str España
repository_id_str
spelling The Hopf whole-brain model and its linear approximationPonce Álvarez, Adrián Fernando|||0000-0003-1446-7392Deco, GustavoNeurologyBrain -- ResearchComputational neuroscienceNeural circuitsWhole-brain modelsNeurologiaCervell -- InvestigacióClassificació AMS::92 Biology and other natural sciences::92C Physiological, cellular and medical topicsÀrees temàtiques de la UPC::Ciències de la salut::Medicina::NeurologiaÀrees temàtiques de la UPC::Enginyeria biomèdicaWhole-brain models have proven to be useful to understand the emergence of collective activity among neural populations or brain regions. These models combine connectivity matrices, or connectomes, with local node dynamics, noise, and, eventually, transmission delays. Multiple choices for the local dynamics have been proposed. Among them, nonlinear oscillators corresponding to a supercritical Hopf bifurcation have been used to link brain connectivity and collective phase and amplitude dynamics in diferent brain states. Here, we studied the linear fuctuations of this model to estimate its stationary statistics, i.e., the instantaneous and lagged covariances and the power spectral densities. This linear approximation—that holds in the case of heterogeneous parameters and time-delays—allows analytical estimation of the statistics and it can be used for fast parameter explorations to study changes in brain state, changes in brain activity due to alterations in structural connectivity, and modulations of parameter due to non-equilibrium dynamics.A.P.-A. was supported by a Ramón y Cajal fellowship (RYC2020-029117-I) from FSE/Agencia Estatal de Investigación (AEI), Spanish Ministry of Science and Innovation. G.D. was supported by the project NEurological MEchanismS of Injury, and the project Sleep-like cellular dynamics (NEMESIS) (ref. 101071900) funded by the EU ERC Synergy Horizon Europe, by the project PID2022-136216NB-I00 financed by the MCIN/AEI/https://doi.org/10.13039/501100011033/FEDER, UE., the Ministry of Science and Innovation, the State Research Agency and the European Regional Development Fund and by the AGAUR research support grant (ref. 2021 SGR 00917) funded by the Department of Research and Universities of the Generalitat of Catalunya.Peer ReviewedSpringer Nature20242024-01-3120242024-02-09journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/401583https://dx.doi.org/10.1038/s41598-024-53105-0reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4015832026-05-27T15:37:01Z
dc.title.none.fl_str_mv The Hopf whole-brain model and its linear approximation
title The Hopf whole-brain model and its linear approximation
spellingShingle The Hopf whole-brain model and its linear approximation
Ponce Álvarez, Adrián Fernando|||0000-0003-1446-7392
Neurology
Brain -- Research
Computational neuroscience
Neural circuits
Whole-brain models
Neurologia
Cervell -- Investigació
Classificació AMS::92 Biology and other natural sciences::92C Physiological, cellular and medical topics
Àrees temàtiques de la UPC::Ciències de la salut::Medicina::Neurologia
Àrees temàtiques de la UPC::Enginyeria biomèdica
title_short The Hopf whole-brain model and its linear approximation
title_full The Hopf whole-brain model and its linear approximation
title_fullStr The Hopf whole-brain model and its linear approximation
title_full_unstemmed The Hopf whole-brain model and its linear approximation
title_sort The Hopf whole-brain model and its linear approximation
dc.creator.none.fl_str_mv Ponce Álvarez, Adrián Fernando|||0000-0003-1446-7392
Deco, Gustavo
author Ponce Álvarez, Adrián Fernando|||0000-0003-1446-7392
author_facet Ponce Álvarez, Adrián Fernando|||0000-0003-1446-7392
Deco, Gustavo
author_role author
author2 Deco, Gustavo
author2_role author
dc.subject.none.fl_str_mv Neurology
Brain -- Research
Computational neuroscience
Neural circuits
Whole-brain models
Neurologia
Cervell -- Investigació
Classificació AMS::92 Biology and other natural sciences::92C Physiological, cellular and medical topics
Àrees temàtiques de la UPC::Ciències de la salut::Medicina::Neurologia
Àrees temàtiques de la UPC::Enginyeria biomèdica
topic Neurology
Brain -- Research
Computational neuroscience
Neural circuits
Whole-brain models
Neurologia
Cervell -- Investigació
Classificació AMS::92 Biology and other natural sciences::92C Physiological, cellular and medical topics
Àrees temàtiques de la UPC::Ciències de la salut::Medicina::Neurologia
Àrees temàtiques de la UPC::Enginyeria biomèdica
description Whole-brain models have proven to be useful to understand the emergence of collective activity among neural populations or brain regions. These models combine connectivity matrices, or connectomes, with local node dynamics, noise, and, eventually, transmission delays. Multiple choices for the local dynamics have been proposed. Among them, nonlinear oscillators corresponding to a supercritical Hopf bifurcation have been used to link brain connectivity and collective phase and amplitude dynamics in diferent brain states. Here, we studied the linear fuctuations of this model to estimate its stationary statistics, i.e., the instantaneous and lagged covariances and the power spectral densities. This linear approximation—that holds in the case of heterogeneous parameters and time-delays—allows analytical estimation of the statistics and it can be used for fast parameter explorations to study changes in brain state, changes in brain activity due to alterations in structural connectivity, and modulations of parameter due to non-equilibrium dynamics.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-01-31
2024
2024-02-09
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/401583
https://dx.doi.org/10.1038/s41598-024-53105-0
url https://hdl.handle.net/2117/401583
https://dx.doi.org/10.1038/s41598-024-53105-0
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869415856249765888
score 15.301629

Similares en LA Referencia