12 citations · 12 across the 4 of their papers we have counts for
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Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks
Mauricio Sepulveda, Nicolas Torres, Luis Miguel Villada
The elapsed time equation is an age-structured model that describes the dynamics of interconnected spiking neurons through the elapsed time since the last discharge, leading to man…
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…
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…
Dynamics of neural networks with elapsed time model and learning processes
Delphine Salort, Nicolas Torres
We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The…