Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states

Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can be written as Fokker-Planck-Kolmogorov equations on the probability density of neurons, the main parameters in the model being the connectivity of the network and the noise. We analyse several aspects of the NNLIF model...

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Bibliographic Details
Main Authors: Cáceres, María J, Carrillo, José A, Perthame, Benoît
Format: Online
Language:English
Published: Springer 2011
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3496469/