{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T03:48:28Z","timestamp":1782359308304,"version":"3.54.5"},"reference-count":26,"publisher":"MIT Press - Journals","issue":"7","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2001,7,1]]},"abstract":"<jats:p> We examine the existence and stability of spatially localized \u201cbumps\u201d 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. <\/jats:p>","DOI":"10.1162\/089976601750264974","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:55:01Z","timestamp":1027770901000},"page":"1473-1494","source":"Crossref","is-referenced-by-count":244,"title":["Stationary Bumps in Networks of Spiking Neurons"],"prefix":"10.1162","volume":"13","author":[{"given":"Carlo R.","family":"Laing","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Pittsburgh, Pittsburgh PA 15260, U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Carson C.","family":"Chow","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Pittsburgh, Pittsburgh PA 15260, U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"281","reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.48.1483"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00337259"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1093\/cercor\/7.3.237"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1088\/0954-898X\/2\/3\/003"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.2384"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008837311948"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(98)00082-7"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1093\/cercor\/5.5.470"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1996.8.5.979"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/61\/4\/002"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1995.7.5.905"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1989.61.2.331"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.51.738"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1162\/089976600300015899"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1996.8.8.1653"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1995.7.2.307"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.81.10.3088"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1997.9.8.1677"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1007\/BF00275151"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1088\/0954-898X\/7\/4\/004"},{"key":"p_28","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.15-08-05448.1995"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1088\/0954-898X\/4\/3\/002"},{"key":"p_30","doi-asserted-by":"publisher","DOI":"10.1007\/BF00961879"},{"key":"p_31","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(72)86068-5"},{"key":"p_32","doi-asserted-by":"publisher","DOI":"10.1007\/BF00288786"},{"key":"p_33","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.16-06-02112.1996"}],"container-title":["Neural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/089976601750264974","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:48:58Z","timestamp":1615585738000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/neco\/article\/13\/7\/1473-1494\/6534"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,7,1]]},"references-count":26,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2001,7,1]]}},"alternative-id":["10.1162\/089976601750264974"],"URL":"https:\/\/doi.org\/10.1162\/089976601750264974","relation":{},"ISSN":["0899-7667","1530-888X"],"issn-type":[{"value":"0899-7667","type":"print"},{"value":"1530-888X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,7,1]]}}}