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q-bio.NC2017★ 12 cited
Distributed synaptic weights in a LIF neural network and learning rules
Benoît Perthame, Delphine Salort, Gilles Wainrib
Leaky integrate-and-fire (LIF) models are mean-field limits, with a large number of neurons, used to describe neural networks. We consider inhomogeneous networks structured by a co…
q-bio.NC2010
Analysis of Nonlinear Noisy Integrate\&Fire Neuron Models: blow-up and steady states
María J. Cáceres, José A. Carrillo, Benoît Perthame
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 pa…