316 citations · 1.1k across the 44 of their papers we have counts for
3 papers · 1 filter
On the local stability of the elapsed-time model in terms of the transmission delay and interconnection strength
María J. Cáceres, José A Cañizo, Nicolas Torres
The elapsed-time model describes the behavior of interconnected neurons through the time since their last spike. It is an age-structured non-linear equation in which age correspond…
Large-time estimates for the Dirichlet heat equation in exterior domains
José A. Cañizo, Alejandro Gárriz, Fernando Quirós
We give large-time asymptotic estimates, both in uniform and norms, for solutions of the Dirichlet heat equation in the complement of a bounded open set of sat…
Comparison principles and asymptotic behavior of delayed age-structured neuron models
María J Cáceres, José A Cañizo, Nicolas Torres
In the context of neuroscience the elapsed-time model is an age-structured equation that describes the behavior of interconnected spiking neurons through the time since the last di…