dc.contributor.author | Mathis, Alexander | en_US |
dc.contributor.author | Stemmler, Martin B | en_US |
dc.contributor.author | Herz, Andreas VM | en_US |
dc.date.accessioned | 2015-07-13T18:46:22Z | |
dc.date.issued | 2015 | en_US |
dc.identifier.citation | Mathis, Alexander, Martin B Stemmler, and Andreas VM Herz. 2015. “Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns.” eLife 4 (1): e05979. doi:10.7554/eLife.05979. http://dx.doi.org/10.7554/eLife.05979. | en |
dc.identifier.issn | 2050-084X | en |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:17295604 | |
dc.description.abstract | Lattices abound in nature—from the crystal structure of minerals to the honey-comb organization of ommatidia in the compound eye of insects. These arrangements provide solutions for optimal packings, efficient resource distribution, and cryptographic protocols. Do lattices also play a role in how the brain represents information? We focus on higher-dimensional stimulus domains, with particular emphasis on neural representations of physical space, and derive which neuronal lattice codes maximize spatial resolution. For mammals navigating on a surface, we show that the hexagonal activity patterns of grid cells are optimal. For species that move freely in three dimensions, a face-centered cubic lattice is best. This prediction could be tested experimentally in flying bats, arboreal monkeys, or marine mammals. More generally, our theory suggests that the brain encodes higher-dimensional sensory or cognitive variables with populations of grid-cell-like neurons whose activity patterns exhibit lattice structures at multiple, nested scales. DOI: http://dx.doi.org/10.7554/eLife.05979.001 | en |
dc.language.iso | en_US | en |
dc.publisher | eLife Sciences Publications, Ltd | en |
dc.relation.isversionof | doi:10.7554/eLife.05979 | en |
dc.relation.hasversion | http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4454919/pdf/ | en |
dash.license | LAA | en_US |
dc.subject | bat | en |
dc.subject | spatial representation | en |
dc.subject | grid cell | en |
dc.subject | hippocampus | en |
dc.subject | face-centered cubic lattice | en |
dc.subject | nested grid code | en |
dc.subject | human | en |
dc.subject | mouse | en |
dc.subject | rat | en |
dc.subject | other | en |
dc.title | Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns | en |
dc.type | Journal Article | en_US |
dc.description.version | Version of Record | en |
dc.relation.journal | eLife | en |
dash.depositing.author | Mathis, Alexander | en_US |
dc.date.available | 2015-07-13T18:46:22Z | |
dc.identifier.doi | 10.7554/eLife.05979 | * |
dash.contributor.affiliated | Mathis, Alexander | |