Place-cell capacity and volatility with grid-like inputs

eLife

Ila R Fiete¹  Man Yi Yim²  Thibaud Taillefumier³  Lorenzo A Sadun⁴ 

[1] Center for Theoretical and Computational Neuroscience, University of Texas, Austin, United States;Department of Brain and Cognitive Sciences and McGovern Institute, MIT, Austin, United States;Center for Theoretical and Computational Neuroscience, University of Texas, Austin, United States;Department of Neuroscience, University of Texas, Austin, United States;Department of Brain and Cognitive Sciences and McGovern Institute, MIT, Austin, United States;Center for Theoretical and Computational Neuroscience, University of Texas, Austin, United States;Department of Neuroscience, University of Texas, Austin, United States;Department of Mathematics and Neuroscience, The University of Texas, Austin, United States;Department of Mathematics and Neuroscience, The University of Texas, Austin, United States;

关键词: place cells;    grid cells;    perceptron;    linear separability;    capacity;    volatility;    None;   

DOI  :  10.7554/eLife.62702

来源: eLife Sciences Publications, Ltd

【 摘 要 】

What factors constrain the arrangement of the multiple fields of a place cell? By modeling place cells as perceptrons that act on multiscale periodic grid-cell inputs, we analytically enumerate a place cell’s repertoire – how many field arrangements it can realize without external cues while its grid inputs are unique – and derive its capacity – the spatial range over which it can achieve any field arrangement. We show that the repertoire is very large and relatively noise-robust. However, the repertoire is a vanishing fraction of all arrangements, while capacity scales only as the sum of the grid periods so field arrangements are constrained over larger distances. Thus, grid-driven place field arrangements define a large response scaffold that is strongly constrained by its structured inputs. Finally, we show that altering grid-place weights to generate an arbitrary new place field strongly affects existing arrangements, which could explain the volatility of the place code.

【 授权许可】

CC BY