  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.
