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Title: Hippocampal spatial representations exhibit a hyperbolic geometry that expands with experience
Abstract

Daily experience suggests that we perceive distances near us linearly. However, the actual geometry of spatial representation in the brain is unknown. Here we report that neurons in the CA1 region of rat hippocampus that mediate spatial perception represent space according to a non-linear hyperbolic geometry. This geometry uses an exponential scale and yields greater positional information than a linear scale. We found that the size of the representation matches the optimal predictions for the number of CA1 neurons. The representations also dynamically expanded proportional to the logarithm of time that the animal spent exploring the environment, in correspondence with the maximal mutual information that can be received. The dynamic changes tracked even small variations due to changes in the running speed of the animal. These results demonstrate how neural circuits achieve efficient representations using dynamic hyperbolic geometry.

 
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Award ID(s):
1724421 2014217
PAR ID:
10388447
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Nature Publishing Group
Date Published:
Journal Name:
Nature Neuroscience
Volume:
26
Issue:
1
ISSN:
1097-6256
Page Range / eLocation ID:
p. 131-139
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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