Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns

DSpace/Manakin Repository

Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns

Citable link to this page

 

 
Title: Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns
Author: Mathis, Alexander; Stemmler, Martin B; Herz, Andreas VM

Note: Order does not necessarily reflect citation order of authors.

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.
Full Text & Related Files:
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
Published Version: doi:10.7554/eLife.05979
Other Sources: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4454919/pdf/
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:17295604
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters