Exact low-dimensional description for fast neural oscillations with low firing rates
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- dc.contributor.author Clusella, Pau
- dc.contributor.author Montbrió, Ernest
- dc.date.accessioned 2025-06-20T07:30:08Z
- dc.date.available 2025-06-20T07:30:08Z
- dc.date.issued 2024
- dc.description.abstract Recently, low-dimensional models of neuronal activity have been exactly derived for large networks of deterministic, quadratic integrate-and-fire (QIF) neurons. Such firing rate models (FRM) describe the emergence of fast collective oscillations (>30 Hz) via the frequency locking of a subset of neurons to the global oscillation frequency. However, the suitability of such models to describe realistic neuronal states is seriously challenged by the fact that during episodes of fast collective oscillations, neuronal discharges are often very irregular and have low firing rates compared to the global oscillation frequency. Here we extend the theory to derive exact FRM for QIF neurons to include noise and show that networks of stochastic neurons displaying irregular discharges at low firing rates during episodes of fast oscillations are governed by exactly the same evolution equations as deterministic networks. Our results reconcile two traditionally confronted views on neuronal synchronization and upgrade the applicability of exact FRM to describe a broad range of biologically realistic neuronal states.
- dc.description.sponsorship The authors thank J. Garcia-Ojalvo for helpful discussions. P.C. acknowledges financial support from the European Union's Horizon 2020 research and innovation programme under Grant Agreement No. 101017716 (Neurotwin). E.M. acknowledges support by the Agencia Estatal de Investigación under the Project No. PID2019-109918GB-I00.
- dc.format.mimetype application/pdf
- dc.identifier.citation Clusella P, Montbrió E. Exact low-dimensional description for fast neural oscillations with low firing rates. Phys Rev E. 2024;109:014229. DOI: 10.1103/PhysRevE.109.014229
- dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.109.014229
- dc.identifier.issn 2470-0045
- dc.identifier.uri http://hdl.handle.net/10230/70737
- dc.language.iso eng
- dc.publisher American Physical Society
- dc.relation.ispartof Physical Review E. 2024;109:014229
- dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/101017716
- dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PID2019-109918GB-I00
- dc.rights © American Physical Society. Published article available at https://journals.aps.org/pre/pdf/10.1103/PhysRevE.109.014229.
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.subject.other Xarxes neuronals (Neurobiologia)
- dc.subject.other Comportament col·lectiu
- dc.subject.other Equacions diferencials estocàstiques
- dc.title Exact low-dimensional description for fast neural oscillations with low firing rates
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/publishedVersion