231 citations · 909 across the 14 of their papers we have counts for
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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…
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…
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…
How effective delays shape oscillatory dynamics in neuronal networks
Alex Roxin, Ernest Montbrio
Synaptic, dendritic and single-cell kinetics generate significant time delays that shape the dynamics of large networks of spiking neurons. Previous work has shown that such effect…