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Correlations and Functional Connections in a Population of Grid Cells
We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats. We evaluate pairwise correlations between these cells and, using a maximum entropy kinetic pairwise model (kinetic Ising model), study their functional connectivity. Even when we account for the co...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4340907/ https://www.ncbi.nlm.nih.gov/pubmed/25714908 http://dx.doi.org/10.1371/journal.pcbi.1004052 |
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author | Dunn, Benjamin Mørreaunet, Maria Roudi, Yasser |
author_facet | Dunn, Benjamin Mørreaunet, Maria Roudi, Yasser |
author_sort | Dunn, Benjamin |
collection | PubMed |
description | We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats. We evaluate pairwise correlations between these cells and, using a maximum entropy kinetic pairwise model (kinetic Ising model), study their functional connectivity. Even when we account for the covariations in firing rates due to overlapping fields, both the pairwise correlations and functional connections decay as a function of the shortest distance between the vertices of the spatial firing pattern of pairs of grid cells, i.e. their phase difference. They take positive values between cells with nearby phases and approach zero or negative values for larger phase differences. We find similar results also when, in addition to correlations due to overlapping fields, we account for correlations due to theta oscillations and head directional inputs. The inferred connections between neurons in the same module and those from different modules can be both negative and positive, with a mean close to zero, but with the strongest inferred connections found between cells of the same module. Taken together, our results suggest that grid cells in the same module do indeed form a local network of interconnected neurons with a functional connectivity that supports a role for attractor dynamics in the generation of grid pattern. |
format | Online Article Text |
id | pubmed-4340907 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-43409072015-03-04 Correlations and Functional Connections in a Population of Grid Cells Dunn, Benjamin Mørreaunet, Maria Roudi, Yasser PLoS Comput Biol Research Article We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats. We evaluate pairwise correlations between these cells and, using a maximum entropy kinetic pairwise model (kinetic Ising model), study their functional connectivity. Even when we account for the covariations in firing rates due to overlapping fields, both the pairwise correlations and functional connections decay as a function of the shortest distance between the vertices of the spatial firing pattern of pairs of grid cells, i.e. their phase difference. They take positive values between cells with nearby phases and approach zero or negative values for larger phase differences. We find similar results also when, in addition to correlations due to overlapping fields, we account for correlations due to theta oscillations and head directional inputs. The inferred connections between neurons in the same module and those from different modules can be both negative and positive, with a mean close to zero, but with the strongest inferred connections found between cells of the same module. Taken together, our results suggest that grid cells in the same module do indeed form a local network of interconnected neurons with a functional connectivity that supports a role for attractor dynamics in the generation of grid pattern. Public Library of Science 2015-02-25 /pmc/articles/PMC4340907/ /pubmed/25714908 http://dx.doi.org/10.1371/journal.pcbi.1004052 Text en © 2015 Dunn et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited. |
spellingShingle | Research Article Dunn, Benjamin Mørreaunet, Maria Roudi, Yasser Correlations and Functional Connections in a Population of Grid Cells |
title | Correlations and Functional Connections in a Population of Grid Cells |
title_full | Correlations and Functional Connections in a Population of Grid Cells |
title_fullStr | Correlations and Functional Connections in a Population of Grid Cells |
title_full_unstemmed | Correlations and Functional Connections in a Population of Grid Cells |
title_short | Correlations and Functional Connections in a Population of Grid Cells |
title_sort | correlations and functional connections in a population of grid cells |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4340907/ https://www.ncbi.nlm.nih.gov/pubmed/25714908 http://dx.doi.org/10.1371/journal.pcbi.1004052 |
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