Title
Stationary Bumps in Networks of Spiking Neurons
Abstract
We examine the existence and stability of spatially localized “bumps” of neuronal activity in a network of spiking neurons. Bumps have been proposed in mechanisms of visual orientation tuning, the rat head direction system, and working memory. We show that a bump solution can exist in a spiking network provided the neurons fire asynchronously within the bump. We consider a parameter regime where the bump solution is bistable with an all-off state and can be initiated with a transient excitatory stimulus. We show that the activity profile matches that of a corresponding population rate model. The bump in a spiking network can lose stability through partial synchronization to either a traveling wave or the all-off state. This can occur if the synaptic timescale is too fast through a dynamical effect or if a transient excitatory pulse is applied to the network. A bump can thus be activated and deactivated with excitatory inputs that may have physiological relevance.
Year
DOI
Venue
2001
10.1162/089976601750264974
Neural Computation
Keywords
Field
DocType
working memory,neuronal activity,traveling wave
Population,Mathematical optimization,Bistability,Neuroscience,Synchronization,Premovement neuronal activity,Biological system,Excitatory postsynaptic potential,Stimulus (physiology),Artificial neural network,Mathematics,Synaptic potential
Journal
Volume
Issue
ISSN
13
7
0899-7667
Citations 
PageRank 
References 
63
11.31
11
Authors
2
Name
Order
Citations
PageRank
Carlo R. Laing129541.21
Carson C. Chow245360.03