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Dynamics of time elapsed inhomogeneous neuron network model: Dynamique de réseaux de neurones inhomogènes structurés en âge

Moon-Jin Kang 1 Benoît Perthame 2, 3 Delphine Salort 4
3 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
4 LCQB-MMB - Mathematical Modeling in Biology [LCQB]
LCQB - Biologie Computationnelle et Quantitative = Laboratory of Computational and Quantitative Biology
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.
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https://hal.sorbonne-universite.fr/hal-01241300
Contributor : Benoît Perthame <>
Submitted on : Thursday, December 10, 2015 - 12:06:37 PM
Last modification on : Friday, March 27, 2020 - 3:54:58 AM

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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, Elsevier Masson, 2015, pp.1111-1115. ⟨10.1016/j.crma.2015.09.029⟩. ⟨hal-01241300⟩

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