The Hopf whole-brain model and its linear approximation

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  • dc.contributor.author Ponce Álvarez, Adrián
  • dc.contributor.author Deco, Gustavo
  • dc.date.accessioned 2025-06-19T11:09:56Z
  • dc.date.available 2025-06-19T11:09:56Z
  • dc.date.issued 2024
  • dc.date.updated 2025-06-19T11:09:55Z
  • dc.description.abstract 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 different brain states. Here, we studied the linear fluctuations 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.
  • dc.description.sponsorship 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.
  • dc.format.mimetype application/pdf
  • dc.identifier.citation Ponce-Alvarez A, Deco G. The Hopf whole-brain model and its linear approximation. Sci Rep. 2024;14:2615. DOI: 10.1038/s41598-024-53105-0
  • dc.identifier.doi http://doi.org/10.1038/s41598-024-53105-0
  • dc.identifier.issn 2045-2322
  • dc.identifier.uri http://hdl.handle.net/10230/70729
  • dc.language.iso eng
  • dc.publisher Nature Research
  • dc.relation.ispartof Scientific Reports. 2024;14:2615
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/HE/101071900
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/3PE/PID2022-136216NB-I00
  • dc.rights © Springer Nature Publishing AG https://www.nature.com/articles/s41598-024-53105-0. Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/.
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.rights.uri http://creativecommons.org/licenses/by/4.0/
  • dc.subject.other Circuit neuronal
  • dc.subject.other Neurociència computacional
  • dc.title The Hopf whole-brain model and its linear approximation
  • dc.type info:eu-repo/semantics/article
  • dc.type.version info:eu-repo/semantics/publishedVersion

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