A principle of economy predicts the functional architecture of grid cells

  1. Xue-xin Wei
  2. Jason Prentice
  3. Vijay Balasubramanian  Is a corresponding author
  1. University of Pennsylvania, United States
  2. Princeton University, United States

Abstract

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: (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^1/2 for idealized neurons, and lie between 1.4-1.7 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.

Article and author information

Author details

  1. Xue-xin Wei

    Department of Psychology, University of Pennsylvania, Philadelphia, United States
    Competing interests
    The authors declare that no competing interests exist.
  2. Jason Prentice

    Princeton Neuroscience Institute, Princeton University, Princeton, United States
    Competing interests
    The authors declare that no competing interests exist.
  3. Vijay Balasubramanian

    Department of Physics, University of Pennsylvania, Philadelphia, United States
    For correspondence
    vijay@physics.upenn.edu
    Competing interests
    The authors declare that no competing interests exist.

Reviewing Editor

  1. Frances K Skinner, University Health Network, Canada

Version history

  1. Received: April 27, 2015
  2. Accepted: September 1, 2015
  3. Accepted Manuscript published: September 3, 2015 (version 1)
  4. Version of Record published: October 23, 2015 (version 2)

Copyright

© 2015, Wei et al.

This article is distributed under the terms of the Creative Commons Attribution License permitting unrestricted use and redistribution provided that the original author and source are credited.

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  1. Xue-xin Wei
  2. Jason Prentice
  3. Vijay Balasubramanian
(2015)
A principle of economy predicts the functional architecture of grid cells
eLife 4:e08362.
https://doi.org/10.7554/eLife.08362

Share this article

https://doi.org/10.7554/eLife.08362

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