62 citations · 117 across the 28 of their papers we have counts for
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math.AP2018★ 5 cited
Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system
Joachim Crevat, Grégory Faye, Francis Filbet
We introduce a spatially extended transport kinetic FitzHugh-Nagumo model with forced local interactions and prove that its hydrodynamic limit converges towards the classical nonlo…
nlin.PS2018
Threshold of front propagation in neural fields: An interface dynamics approach
Gregory Faye, Zachary P Kilpatrick
Neural field equations model population dynamics of large-scale networks of neurons. Wave propagation in neural fields is often studied by constructing traveling wave solutions in…