{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T01:32:52Z","timestamp":1784856772930,"version":"3.55.0"},"reference-count":49,"publisher":"MIT Press","issue":"10","content-domain":{"domain":["direct.mit.edu"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2023,9,8]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Grid cells play a principal role in enabling cognitive representations of ambient environments. The key property of these cells\u2014the regular arrangement of their firing fields\u2014is commonly viewed as a means for establishing spatial scales or encoding specific locations. However, using grid cells\u2019 spiking outputs for deducing geometric orderliness proves to be a strenuous task due to fairly irregular activation patterns triggered by the animal\u2019s sporadic visits to the grid fields. This article addresses statistical mechanisms enabling emergent regularity of grid cell firing activity from the perspective of percolation theory. Using percolation phenomena for modeling the effect of the rat\u2019s moves through the lattices of firing fields sheds new light on the mechanisms of spatial information processing, spatial learning, path integration, and establishing spatial metrics. It is also shown that physiological parameters required for spiking percolation match the experimental range, including the characteristic 2\/3 ratio between the grid fields\u2019 size and the grid spacing, pointing at a biological viability of the approach.<\/jats:p>","DOI":"10.1162\/neco_a_01606","type":"journal-article","created":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T14:06:40Z","timestamp":1690812400000},"page":"1609-1626","update-policy":"https:\/\/doi.org\/10.1162\/mitpressjournals.corrections.policy","source":"Crossref","is-referenced-by-count":2,"title":["Grid Cell Percolation"],"prefix":"10.1162","volume":"35","author":[{"given":"Yuri","family":"Dabaghian","sequence":"first","affiliation":[{"name":"Department of Neurology, University of Texas McGovern Medical School, Houston, TX 77030, U.S.A. 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