1 citations · 1 across the 3 of their papers we have counts for
3 papers
An elapsed time model for strongly coupled inhibitory and excitatory neural networks
Maria Caceres, Benoît Perthame, Delphine Salort +1
The elapsed time model has been widely studied in the context of mathematical neuroscience with many open questions left. The model consists of an age-structured equation that desc…
Microscopic approach of a time elapsed neural model
Julien Chevallier, Maria J. Caceres, Marie Doumic +1
The spike trains are the main components of the information processing in the brain. To model spike trains several point processes have been investigated in the literature. And mor…
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…