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A model for grid cells in 3-D environments

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POSTER PRESENTATION

Open Access

A model for greed cells in 3-D environments

Federico Stella

1*

, Bailu Si

2

, Emilio Kropf

3

, Alessandro Treves

1,4

From Twenty Second Annual Computational Neuroscience Meeting: CNS*2013

Paris, France. 13-18 July 2013

Individual medial entorhinal cortex (mEC) ‘grid’ cells provide a representation of space that appears to be essentially invariant across environments, modulo simple transformations, in contrast to multiple, rapidly acquired hippocampal maps; it may therefore be established gra-dually, during rodent development. lf this is the case, then the topology of the environment in which the development takes place should affect the way the grid final configuration appears.

Until now, models of grid cells have dealt only with planar, two-dimensional topologies.

We extend our single-cell adaptation model [1] to include the third dimension in the environment. We study two non-planar topologies:

- the sphere surface [2]

- the fully three-dimensional space.

What grid cell firing maps would we expect to observe?

In the first condition the model predicts a sequence of spherical harmonics, each of which is the optimal asymp-totic solution for the self-organizing adaptation process, within a certain range of the world radius. In the second, it predicts that the grid fields should assume a configura-tion analogous to an hexagonal close-packing lattice.

New experiments that make use of virtual reality on a revolving sphere, or in which rats are reared inside a spherical cage, will likely be a direct test for our model on the sphere, while experiments with flying bats will provide evidence on the feasibility of a genuine 3-dimen-sional representation of space in terms of grid units.

Author details

1Cognitive Neuroscience Sector, Sissa, Trieste, Italy.2Department of

Neurobiology, Weizmann Institute of Science, Rehovot, Israel.3Laboratory of

Neuronal Plasticity, Leloir Institute, Buenos Aires, Argentina.4Embassy of Italy,

Science Office, Tel Aviv, Israel. Published: 8 July 2013

References

1. Emilio Kropff, Alessandro Treves: The emergence of grid cells: intelligent design or just adaptation?Hippocampus 2008.

2. Federico Stella, Bailu Si, Emilio Kropff, Alessandro Treves: Grids cells on the ball.JSTAT 2012.

doi:10.1186/1471-2202-14-S1-P396

Cite this article as: Stella et al.: A model for greed cells in 3-D environments.BMC Neuroscience 2013 14(Suppl 1):P396.

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Submit your manuscript at www.biomedcentral.com/submit 1Cognitive Neuroscience Sector, Sissa, Trieste, Italy

Full list of author information is available at the end of the article Stellaet al. BMC Neuroscience 2013, 14(Suppl 1):P396 http://www.biomedcentral.com/1471-2202/14/S1/P396

© 2013 Stella etal; licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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