61 citations · 79 across the 6 of their papers we have counts for
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math.AP2015★ 61 cited
On a kinetic FitzHugh-Nagumo model of neuronal network
Stéphane Mischler, Cristóbal Quiñinao, Jonathan Touboul
We investigate existence and uniqueness of solutions of a McKean-Vlasov evolution PDE representing the macroscopic behaviour of interacting Fitzhugh-Nagumo neurons. This equation i…
math.AP2015
A microscopic spiking neuronal network for the age-structured model
Cristóbal Quiñinao
We introduce a microscopic spiking network consistent with the age-structured/renewal equation proposed by Pakdaman, Perthame and Salort. It is a jump process interacting through a…