Dynamics of time elapsed inhomogeneous neuron network model - Inria - Institut national de recherche en sciences et technologies du numérique
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)

Identifiers

Cite

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⟩
365 View
0 Download

Altmetric

Share

More