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Journal Articles Comptes Rendus. Mathématique Year : 2015

Dynamics of time elapsed inhomogeneous neuron network model

Abstract

Models for neural networks have been proposed, which describe the probability to find a neuron for which time s has elapsed since the last discharge. These are written under the form of a nonlinear age-structured equation where the total network activity modulates the firing rate. Here, we consider an inhomogeneous network with variability on the refractory period. We give conditions on the connectivity, leading to total desynchronization of the network.

Dates and versions

hal-01241300 , version 1 (10-12-2015)

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Moon-Jin Kang, Benoît Perthame, Delphine Salort. Dynamics of time elapsed inhomogeneous neuron network model: Dynamique de réseaux de neurones inhomogènes structurés en âge. Comptes Rendus. Mathématique, 2015, 353, pp.1111-1115. ⟨10.1016/j.crma.2015.09.029⟩. ⟨hal-01241300⟩
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