232 citations · 930 across the 41 of their papers we have counts for
5 papers · 1 filter
Mean Field description of and propagation of chaos in recurrent multipopulation networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons
Javier Baladron, Diego Fasoli, Olivier Faugeras +1
We derive the mean-field equations arising as the limit of a network of interacting spiking neurons, as the number of neurons goes to infinity. The neurons belong to a fixed number…
Propagation of chaos in neural fields
Jonathan Touboul
We consider the problem of the limit of bio-inspired spatially extended neuronal networks including an infinite number of neuronal types (space locations), with space-dependent pro…
Mean-field equations for stochastic firing-rate neural fields with delays: Derivation and noise-induced transitions
Jonathan Touboul
In this manuscript we analyze the collective behavior of mean-field limits of large-scale, spatially extended stochastic neuronal networks with delays. Rigorously, the asymptotic r…
Noise-induced behaviors in neural mean field dynamics
Jonathan Touboul, Geoffroy Hermann, Olivier Faugeras
The collective behavior of cortical neurons is strongly affected by the presence of noise at the level of individual cells. In order to study these phenomena in large-scale assembl…
On an explicit representation of the solution of linear stochastic partial differential equations with delays
Mathieu Galtier, Jonathan Touboul
Based on the analysis of a certain class of linear operators on a Banach space, we provide a closed form expression for the solutions of certain linear partial differential equatio…