The grid cells discovered in the rodent medial entorhinal cortex have been proposed to provide a metric for Euclidean space, possibly even hardwired in the embryo. Yet, one class of models describing the formation of grid unit selectivity is entirely based on developmental self-organization, and as such it predicts that the metric it expresses should reflect the environment to which the animal has adapted. We show that, according to self-organizing models, if raised in a non-Euclidean hyperbolic cage rats should be able to form hyperbolic grids. For a given range of grid spacing relative to the radius of negative curvature of the hyperbolic surface, such grids are predicted to appear as multi-peaked firing maps, in which each peak has seven neighbours instead of the Euclidean six, a prediction that can be tested in experiments. We thus demonstrate that a useful universal neuronal metric, in the sense of a multi-scale ruler and compass that remain unaltered when changing environments, can be extended to other than the standard Euclidean plane.
|Titolo:||Can rodents conceive hyperbolic spaces?|
|Autori:||Urdapilleta, Eugenio; Troiani, Francesca; Stella, Federico; Treves, Alessandro|
|Rivista:||JOURNAL OF THE ROYAL SOCIETY INTERFACE|
|Data di pubblicazione:||2015|
|Digital Object Identifier (DOI):||10.1098/rsif.2014.1214|
|Fulltext via DOI:||10.1098/rsif.2014.1214|
|Appare nelle tipologie:||1.1 Journal article|