Dynamics of time elapsed inhomogeneous neuron network model - Sorbonne Université
Article Dans Une Revue Comptes Rendus. Mathématique Année : 2015

Dynamics of time elapsed inhomogeneous neuron network model

Résumé

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 et versions

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

Identifiants

Citer

Moon-Jin Kang, Benoît Perthame, Delphine Salort. Dynamics of time elapsed inhomogeneous neuron network model. Comptes Rendus. Mathématique, 2015, 353, pp.1111-1115. ⟨10.1016/j.crma.2015.09.029⟩. ⟨hal-01241300⟩
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