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math.AP2021★ 12 cited
A multiple time renewal equation for neural assemblies with elapsed time model
Nicolás Torres, Benoît Perthame, Delphine Salort
We introduce and study an extension of the classical elapsed time equation in the context of neuron populations that are described by the elapsed time since the last discharge, i.e…
math.AP2021
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…