A principle of economy predicts the functional architecture of grid cells

Grid cells in the brain respond when an animal occupies a periodic lattice of ‘grid fields’ during navigation. Grids are organized in modules with different periodicity. We propose that the grid system implements a hierarchical code for space that economizes the number of neurons required to encode...

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Main Authors: Xue-Xin Wei, Jason Prentice, Vijay Balasubramanian
Format: Article
Language:English
Published: eLife Sciences Publications Ltd 2015-09-01
Series:eLife
Subjects:
Online Access:https://elifesciences.org/articles/08362
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author Xue-Xin Wei
Jason Prentice
Vijay Balasubramanian
author_facet Xue-Xin Wei
Jason Prentice
Vijay Balasubramanian
author_sort Xue-Xin Wei
collection DOAJ
description Grid cells in the brain respond when an animal occupies a periodic lattice of ‘grid fields’ during navigation. Grids are organized in modules with different periodicity. We propose that the grid system implements a hierarchical code for space that economizes the number of neurons required to encode location with a given resolution across a range equal to the largest period. This theory predicts that (i) grid fields should lie on a triangular lattice, (ii) grid scales should follow a geometric progression, (iii) the ratio between adjacent grid scales should be √e for idealized neurons, and lie between 1.4 and 1.7 for realistic neurons, (iv) the scale ratio should vary modestly within and between animals. These results explain the measured grid structure in rodents. We also predict optimal organization in one and three dimensions, the number of modules, and, with added assumptions, the ratio between grid periods and field widths.
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spelling doaj.art-5b86d329b95a49909640d952f2f3578f2022-12-22T02:05:04ZengeLife Sciences Publications LtdeLife2050-084X2015-09-01410.7554/eLife.08362A principle of economy predicts the functional architecture of grid cellsXue-Xin Wei0Jason Prentice1Vijay Balasubramanian2Department of Psychology, University of Pennsylvania, Philadelphia, United StatesPrinceton Neuroscience Institute, Princeton University, Princeton, United StatesDepartment of Physics, University of Pennsylvania, Philadelphia, United States; Department of Neuroscience, University of Pennsylvania, Philadelphia, United StatesGrid cells in the brain respond when an animal occupies a periodic lattice of ‘grid fields’ during navigation. Grids are organized in modules with different periodicity. We propose that the grid system implements a hierarchical code for space that economizes the number of neurons required to encode location with a given resolution across a range equal to the largest period. This theory predicts that (i) grid fields should lie on a triangular lattice, (ii) grid scales should follow a geometric progression, (iii) the ratio between adjacent grid scales should be √e for idealized neurons, and lie between 1.4 and 1.7 for realistic neurons, (iv) the scale ratio should vary modestly within and between animals. These results explain the measured grid structure in rodents. We also predict optimal organization in one and three dimensions, the number of modules, and, with added assumptions, the ratio between grid periods and field widths.https://elifesciences.org/articles/08362grid cellspatial cognitionefficient codingtheoretical neuroscience
spellingShingle Xue-Xin Wei
Jason Prentice
Vijay Balasubramanian
A principle of economy predicts the functional architecture of grid cells
eLife
grid cell
spatial cognition
efficient coding
theoretical neuroscience
title A principle of economy predicts the functional architecture of grid cells
title_full A principle of economy predicts the functional architecture of grid cells
title_fullStr A principle of economy predicts the functional architecture of grid cells
title_full_unstemmed A principle of economy predicts the functional architecture of grid cells
title_short A principle of economy predicts the functional architecture of grid cells
title_sort principle of economy predicts the functional architecture of grid cells
topic grid cell
spatial cognition
efficient coding
theoretical neuroscience
url https://elifesciences.org/articles/08362
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