232 citations · 930 across the 41 of their papers we have counts for
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math.DS2011★ 47 cited
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…
math.DS2011★ 97 cited
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…