Stationary bumps in networks of spiking neurons. Export

@article{LAI01, 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.}, author = {Laing, C. R. and Chow, C. C.}, citeulike-article-id = {1044648}, citeulike-linkout-0 = {http://dx.doi.org/10.1162/089976601750264974}, citeulike-linkout-1 = {http://view.ncbi.nlm.nih.gov/pubmed/11440594}, citeulike-linkout-2 = {http://www.hubmed.org/display.cgi?uids=11440594}, doi = {10.1162/089976601750264974}, issn = {0899-7667}, journal = {Neural computation}, keywords = {bump, dynamical, spiking\_neuron}, month = {July}, number = {7}, pages = {1473--1494}, posted-at = {2009-09-16 15:41:43}, priority = {0}, title = {Stationary bumps in networks of spiking neurons.}, url = {http://dx.doi.org/10.1162/089976601750264974}, volume = {13}, year = {2001} }

TY - JOUR ID - LAI01 L3 - citeulike-article-id:1044648 N2 - 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. IS - 7 JF - Neural computation SN - 0899-7667 EP - 1494 TI - Stationary bumps in networks of spiking neurons. VL - 13 SP - 1473 KW - bump KW - dynamical KW - spiking_neuron AU - Laing, CR AU - Chow, CC PY - 2001/07// UR - http://dx.doi.org/10.1162/089976601750264974 ER -