Paper Info
Title
Mean-Field Population Dynamics of Spiking Neurons with Random Synaptic Delays
Abstract
We derive a dynamical equation for the spike emission rate 驴 (t) of a homogeneous population of Integrate-and-Fire (IF) neurons, in an "extended" mean-field approximation (i.e., taking into account both the mean and the variance of the afferent current). Conditions for stability and characteristic times of the population transient response are investigated, and both are shown to be naturally expressed in terms of single neuron current-to-rate transfer function. Finite-size effects are incorporated by a stochastic extension of the mean-field equations and the associated Fokker-Planck formalism, and their implications for the frequency response of the population activity is illustrated through the power spectral density of v(t). The role of synaptic delays in spike transmission is studied for an arbitrary distribution of delays.
Year
DOI
Venue
2002
10.1007/3-540-46084-5_19
Lecture Notes in Computer Science
Keywords
Field
DocType
spike transmission,spike emission rate,homogeneous population,mean-field approximation,finite-size effect,random synaptic delays,frequency response,population activity,spiking neurons,fokker-planck formalism,mean-field population dynamics,population transient response,mean-field equation,transfer function,synapse,fokker planck,mean field theory,population dynamic,response time,transient response,population dynamics,field equation,spectral energy distribution,mean field,power spectral density,neural network,fokker planck equation,mean field approximation
Transient response,Population,Computer science,Response time,Spectral density,Artificial intelligence,Statistical physics,Fokker–Planck equation,Frequency response,Pattern recognition,Mean field theory,Transfer function,Calculus
Conference
Volume
ISSN
ISBN
2415
0302-9743
3-540-44074-7
Citations 
PageRank 
References 
1
0.38
3
Authors
2
Name
Order
Citations
PageRank
Maurizio Mattia118829.69
Paolo Del Giudice220824.76