Self-sustained activity in a small-world network of excitable neurons. Export

@article{citeulike:5847107, abstract = {We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities p of directed random connections, a localized transient stimulus results either in self-sustained persistent activity or in a brief transient followed by failure. Averages over the quenched ensemble reveal that the probability of failure changes from 0 to 1 over a narrow range in p; this failure transition can be described analytically through an extension of an existing mean-field result. Exceedingly long transients emerge at higher densities p; their activity patterns are disordered, in contrast to the mostly periodic persistent patterns observed at low p. The times at which such patterns die out follow a stretched-exponential distribution, which depends sensitively on the propagation velocity of the excitation.}, author = {Roxin, Alex and Riecke, Hermann and Solla, Sara A.}, citeulike-article-id = {5847107}, citeulike-linkout-0 = {http://view.ncbi.nlm.nih.gov/pubmed/15169447}, citeulike-linkout-1 = {http://www.hubmed.org/display.cgi?uids=15169447}, day = {14}, issn = {0031-9007}, journal = {Physical review letters}, keywords = {mean\_field, network\_dynamics, small-world, spontaneous\_activity}, month = {May}, number = {19}, posted-at = {2009-09-28 15:02:38}, priority = {2}, title = {Self-sustained activity in a small-world network of excitable neurons.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/15169447}, volume = {92}, year = {2004} }

TY - JOUR ID - citeulike:5847107 L3 - citeulike-article-id:5847107 N2 - We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities p of directed random connections, a localized transient stimulus results either in self-sustained persistent activity or in a brief transient followed by failure. Averages over the quenched ensemble reveal that the probability of failure changes from 0 to 1 over a narrow range in p; this failure transition can be described analytically through an extension of an existing mean-field result. Exceedingly long transients emerge at higher densities p; their activity patterns are disordered, in contrast to the mostly periodic persistent patterns observed at low p. The times at which such patterns die out follow a stretched-exponential distribution, which depends sensitively on the propagation velocity of the excitation. IS - 19 JF - Physical review letters SN - 0031-9007 TI - Self-sustained activity in a small-world network of excitable neurons. VL - 92 KW - mean_field KW - network_dynamics KW - small-world KW - spontaneous_activity AU - Roxin, Alex AU - Riecke, Hermann AU - Solla, Sara PY - 2004/05/14/ UR - http://view.ncbi.nlm.nih.gov/pubmed/15169447 ER -