Synchrony-induced modes of oscillation of a neural field model

Mostra el registre complet Registre parcial de l'ítem

  • dc.contributor.author Esnaola Acebes, Jose M.
  • dc.contributor.author Roxin, Alex
  • dc.contributor.author Avitabile, Daniele
  • dc.contributor.author Montbrió, Ernest, 1974-
  • dc.date.accessioned 2021-06-08T09:48:18Z
  • dc.date.available 2021-06-08T09:48:18Z
  • dc.date.issued 2017
  • dc.description.abstract We investigate the modes of oscillation of heterogeneous ring networks of quadratic integrate-and-fire (QIF) neurons with nonlocal, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient standing waves with a specific temporal frequency, analogously to those in a tense string. In the neuronal network, the equilibrium corresponds to a spatially homogeneous, asynchronous state. Perturbations of this state excite the network's oscillatory modes, which reflect the interplay of episodes of synchronous spiking with the excitatory-inhibitory spatial interactions. In the thermodynamic limit, an exact low-dimensional neural field model describing the macroscopic dynamics of the network is derived. This allows us to obtain formulas for the Turing eigenvalues of the spatially homogeneous state and hence to obtain its stability boundary. We find that the frequency of each Turing mode depends on the corresponding Fourier coefficient of the synaptic pattern of connectivity. The decay rate instead is identical for all oscillation modes as a consequence of the heterogeneity-induced desynchronization of the neurons. Finally, we numerically compute the spectrum of spatially inhomogeneous solutions branching from the Turing bifurcation, showing that similar oscillatory modes operate in neural bump states and are maintained away from onset.
  • dc.description.sponsorship We acknowledge support by MINECO (Spain) under Projects No. FIS2014-59462-P, No. FIS2016-74957-P, No. PSI2016-75688-P, and No. PCIN-2015-127. E.M. and D.P. also acknowledge support by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 642563.
  • dc.format.mimetype application/pdf
  • dc.identifier.citation Esnaola-Acebes JM, Roxin A, Avitabile D, Montbrió E. Synchrony-induced modes of oscillation of a neural field model. Phys Rev E. 2017;96(5):052407. DOI: 10.1103/PhysRevE.96.052407
  • dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.96.052407
  • dc.identifier.issn 1539-3755
  • dc.identifier.uri http://hdl.handle.net/10230/47798
  • dc.language.iso eng
  • dc.publisher American Physical Society
  • dc.relation.ispartof Physical Review E. 2017;96(4):042208
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/642563
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2014-59462-P
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2016-74957-P
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/PSI2016-75688-P
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/PCIN-2015-127
  • dc.rights © American Physical Society. Published article available at https://doi.org/10.1103/PhysRevE.96.052407
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.title Synchrony-induced modes of oscillation of a neural field model
  • dc.type info:eu-repo/semantics/article
  • dc.type.version info:eu-repo/semantics/publishedVersion

Col·leccions

Articles (Departament de Tecnologies de la Informació i les Comunicacions)
Documents OpenAIRE (Open Access Infrastructure for Research in Europe)