David Andrieux   Takaaki Monnai   
PHYSICAL REVIEW E 80(2) 2009年8月
We derive analytical formulas for the firing rate of integrate-and-fire neurons endowed with realistic synaptic dynamics. In particular, we include the possibility of multiple synaptic inputs as well as the effect of an absolute refractory period ...
COMPLEX PHENOMENA IN NANOSCALE SYSTEMS 265-271 2009年
Large fluctuation of Brownian particles is affected by the finiteness of the correlation length of the background noise field. Indeed a Fokker-Planck equation is derived in a Markovian limit of a spatio-temporal short correlated noise. Correspondi...
NATO Science for Peace and Security Series B: Physics and Biophysics 265-271 2009年
Large fluctuation of Brownian particles is affected by the finiteness of the correlation length of the background noise field. Indeed a Fokker-Planck equation is derived in a Markovian limit of a spatio-temporal short correlated noise. Correspondi...
Journal of Statistical Mechanics: Theory and Experiment 2009(1) 01055 2009年
Spatio-temporal generalization of the Ornstein-Uhlenbeck process has been received considerable attention in the context of coagulations in a random flow. We shall explore the diffusion process with a symmetric spatio-temporal correlated noise in ...