Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Montbrió, Ernest"'
We analyze a large ensemble of Quadratic Integrate-and-Fire (QIF) neurons with heterogeneous input currents and adaptation variables. For a particular class of adaptation, which we call quadratic spike-frequency adaptation (QSFA), the high-dimensiona
Externí odkaz:
http://arxiv.org/abs/2410.03657
Autor:
Pietras, Bastian, Montbrió, Ernest
Over the last decade, next-generation neural mass models have become increasingly prominent in mathematical neuroscience. These models link microscopic dynamics with low-dimensional systems of so-called firing rate equations that exactly capture the
Externí odkaz:
http://arxiv.org/abs/2409.18278
Autor:
Clusella, Pau, Montbrió, Ernest
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
Externí odkaz:
http://arxiv.org/abs/2208.05515
Publikováno v:
Chaos 32, 013105 (2022)
We derive the Kuramoto model (KM) corresponding to a population of weakly coupled, nearly identical quadratic integrate-and-fire (QIF) neurons with both electrical and chemical coupling. The ratio of chemical to electrical coupling determines the pha
Externí odkaz:
http://arxiv.org/abs/2110.07665
Autor:
Montbrió, Ernest, Pazó, Diego
Publikováno v:
Phys. Rev. Lett. 125, 248101 (2020)
Electrical synapses play a major role in setting up neuronal synchronization, but the precise mechanisms whereby these synapses contribute to synchrony are subtle and remain elusive. To investigate these mechanisms mean-field theories for quadratic i
Externí odkaz:
http://arxiv.org/abs/2009.01445
Publikováno v:
Phys. Rev. E 100, 042412 (2019)
Chemical and electrical synapses shape the dynamics of neuronal networks. Numerous theoretical studies have investigated how each of these types of synapses contributes to the generation of neuronal oscillations, but their combined effect is less und
Externí odkaz:
http://arxiv.org/abs/1905.01917
We study an extension of the Winfree model of coupled phase oscillators in which both natural frequencies and phase-response curves (PRCs) are heterogeneous. In the first part of the paper we resort to averaging and derive an approximate model, in wh
Externí odkaz:
http://arxiv.org/abs/1809.09456
Publikováno v:
Phys. Rev. E 98, 042214 (2018)
We analyze a large system of heterogeneous quadratic integrate-and-fire (QIF) neurons with time delayed, all-to-all synaptic coupling. The model is exactly reduced to a system of firing rate equations that is exploited to investigate the existence, s
Externí odkaz:
http://arxiv.org/abs/1809.00607
Autor:
Montbrió, Ernest, Pazó, Diego
Publikováno v:
Physical Review Letters 120, 244101 (2018)
The Kuramoto model (KM) is a theoretical paradigm for investigating the emergence of rhythmic activity in large populations of oscillators. A remarkable example of rhythmogenesis is the feedback loop between excitatory (E) and inhibitory (I) cells in
Externí odkaz:
http://arxiv.org/abs/1806.05279
Publikováno v:
Phys. Rev. E 96, 052407 (2017)
We investigate the modes of oscillation of heterogeneous ring-networks of quadratic integrate-and-fire neurons with non-local, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient standing w
Externí odkaz:
http://arxiv.org/abs/1708.08672