231 citations · 909 across the 14 of their papers we have counts for
14 papers
Exact low-dimensional description for fast neural oscillations with low firing rates
Pau Clusella, Ernest Montbrió
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 mo…
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
Pau Clusella, Bastian Pietras, Ernest Montbrió
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 cou…
Kuramoto model for excitation-inhibition-based oscillations
Ernest Montbrió, Diego Pazó
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 i…
Synchrony-induced modes of oscillation of a neural field model
Jose M. Esnaola-Acebes, Alex Roxin, Daniele Avitabile +1
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 equili…
Synchronization scenarios in the Winfree model of coupled oscillators
Rafael Gallego, Ernest Montbrió, Diego Pazó
The emergence of collective synchronization was reproduced long ago by Winfree in a classical model consisting of an ensemble of pulse-coupled phase oscillators. By means of the Ot…
Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks
Federico Devalle, Alex Roxin, Ernest Montbrió
Recurrently coupled networks of inhibitory neurons robustly generate oscillations in the gamma band. Nonetheless, the corresponding Wilson-Cowan type firing rate equation for such…