Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by N≫1 stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.
@article{arxiv.1003.5187,
title = {Mean field approximation for noisy delay coupled excitable neurons},
author = {Nikola Buric and Dragana Rankovic and Kristina Todorovic and Nebojsa Vasovic},
journal= {arXiv preprint arXiv:1003.5187},
year = {2015}
}