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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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eLife Sciences Publications Ltd
2021-05-01
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Series: | eLife |
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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. |
first_indexed | 2024-04-12T12:02:54Z |
format | Article |
id | doaj.art-d3f2b3290f9e440bb5f64f72c56b6d80 |
institution | Directory Open Access Journal |
issn | 2050-084X |
language | English |
last_indexed | 2024-04-12T12:02:54Z |
publishDate | 2021-05-01 |
publisher | eLife Sciences Publications Ltd |
record_format | Article |
series | eLife |
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 |
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