Place-cell capacity and volatility with grid-like inputs

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 gri...

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Main Authors: Man Yi Yim, Lorenzo A Sadun, Ila R Fiete, Thibaud Taillefumier
Format: Article
Language:English
Published: eLife Sciences Publications Ltd 2021-05-01
Series:eLife
Subjects:
Online Access:https://elifesciences.org/articles/62702
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author Man Yi Yim
Lorenzo A Sadun
Ila R Fiete
Thibaud Taillefumier
author_facet Man Yi Yim
Lorenzo A Sadun
Ila R Fiete
Thibaud Taillefumier
author_sort Man Yi Yim
collection DOAJ
description 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.
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spelling doaj.art-d3f2b3290f9e440bb5f64f72c56b6d802022-12-22T03:33:48ZengeLife Sciences Publications LtdeLife2050-084X2021-05-011010.7554/eLife.62702Place-cell capacity and volatility with grid-like inputsMan Yi Yim0Lorenzo A Sadun1https://orcid.org/0000-0002-2518-573XIla R Fiete2https://orcid.org/0000-0003-4738-2539Thibaud Taillefumier3https://orcid.org/0000-0003-3538-6882Center 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 StatesDepartment of Mathematics and Neuroscience, The University of Texas, Austin, United StatesCenter for Theoretical and Computational Neuroscience, University of Texas, Austin, United States; Department of Brain and Cognitive Sciences and McGovern Institute, MIT, Austin, United StatesCenter 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 StatesWhat 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.https://elifesciences.org/articles/62702place cellsgrid cellsperceptronlinear separabilitycapacityvolatility
spellingShingle Man Yi Yim
Lorenzo A Sadun
Ila R Fiete
Thibaud Taillefumier
Place-cell capacity and volatility with grid-like inputs
eLife
place cells
grid cells
perceptron
linear separability
capacity
volatility
title Place-cell capacity and volatility with grid-like inputs
title_full Place-cell capacity and volatility with grid-like inputs
title_fullStr Place-cell capacity and volatility with grid-like inputs
title_full_unstemmed Place-cell capacity and volatility with grid-like inputs
title_short Place-cell capacity and volatility with grid-like inputs
title_sort place cell capacity and volatility with grid like inputs
topic place cells
grid cells
perceptron
linear separability
capacity
volatility
url https://elifesciences.org/articles/62702
work_keys_str_mv AT manyiyim placecellcapacityandvolatilitywithgridlikeinputs
AT lorenzoasadun placecellcapacityandvolatilitywithgridlikeinputs
AT ilarfiete placecellcapacityandvolatilitywithgridlikeinputs
AT thibaudtaillefumier placecellcapacityandvolatilitywithgridlikeinputs