A microscopic spiking neuronal network for the age-structured model
Analysis of PDEs
2015-03-03 v1
Abstract
We introduce a microscopic spiking network consistent with the age-structured/renewal equation proposed by Pakdaman, Perthame and Salort. It is a jump process interacting through a global activity variable with random delays. We show the well-posedness of the particle system and the mean-field equation. Moreover we show the propagation of chaos property and we quantify the rate of convergence under the assumption of exponential moments on the initial data.
Keywords
Cite
@article{arxiv.1503.00115,
title = {A microscopic spiking neuronal network for the age-structured model},
author = {Cristóbal Quiñinao},
journal= {arXiv preprint arXiv:1503.00115},
year = {2015}
}