Mean field approximation for noisy delay coupled excitable neurons
Abstract
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.
Keywords:
Time-delay / Stochastic excitable systems / Mean-fieldSource:
Physica A-Statistical Mechanics and Its Applications, 2010, 389, 19, 3956-3964Publisher:
- Elsevier Science BV, Amsterdam
Funding / projects:
- Kvantna i optička interferometrija (RS-MESTD-MPN2006-2010-141003)
DOI: 10.1016/j.physa.2010.05.048
ISSN: 0378-4371
WoS: 000280975700003
Scopus: 2-s2.0-77955554263
Collections
Institution/Community
PharmacyTY - JOUR AU - Burić, Nikola AU - Ranković, Dragana AU - Todorović, Kristina AU - Vasović, Nebojša PY - 2010 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1344 AB - 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. PB - Elsevier Science BV, Amsterdam T2 - Physica A-Statistical Mechanics and Its Applications T1 - Mean field approximation for noisy delay coupled excitable neurons VL - 389 IS - 19 SP - 3956 EP - 3964 DO - 10.1016/j.physa.2010.05.048 ER -
@article{ author = "Burić, Nikola and Ranković, Dragana and Todorović, Kristina and Vasović, Nebojša", year = "2010", abstract = "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.", publisher = "Elsevier Science BV, Amsterdam", journal = "Physica A-Statistical Mechanics and Its Applications", title = "Mean field approximation for noisy delay coupled excitable neurons", volume = "389", number = "19", pages = "3956-3964", doi = "10.1016/j.physa.2010.05.048" }
Burić, N., Ranković, D., Todorović, K.,& Vasović, N.. (2010). Mean field approximation for noisy delay coupled excitable neurons. in Physica A-Statistical Mechanics and Its Applications Elsevier Science BV, Amsterdam., 389(19), 3956-3964. https://doi.org/10.1016/j.physa.2010.05.048
Burić N, Ranković D, Todorović K, Vasović N. Mean field approximation for noisy delay coupled excitable neurons. in Physica A-Statistical Mechanics and Its Applications. 2010;389(19):3956-3964. doi:10.1016/j.physa.2010.05.048 .
Burić, Nikola, Ranković, Dragana, Todorović, Kristina, Vasović, Nebojša, "Mean field approximation for noisy delay coupled excitable neurons" in Physica A-Statistical Mechanics and Its Applications, 389, no. 19 (2010):3956-3964, https://doi.org/10.1016/j.physa.2010.05.048 . .