Modeling spatial patterns in the visual cortex

Modeling spatial patterns in the visual cortex

We propose a model for the formation of patterns in the visual cortex. The dynamical units of the model are Kuramoto phase oscillators that interact through a complex network structure embedded in two dimensions. In this way the strength of the interactions takes into account the geographical distance between units. We show that for different parameters, clustered or striped patterns emerge. Using the structure factor as an order parameter we are able to quantitatively characterize these patterns and present a phase diagram. Finally, we show that the model is able to reproduce patterns with cardinal preference, as observed in ferrets.

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Main Authors: Daza Caro, Yudy Carolina, Tauro, Carolina Beatriz, Tamarit, Francisco Antonio, Gleiser, Pablo Martín
Format: article biblioteca
Language:eng
Published: 2014
Subjects:Neural networks, Theoretical neuroscience, Spatial Patterns, Synchronization,
Online Access:http://hdl.handle.net/11086/20554
https://doi.org/10.1103/PhysRevE.90.042818
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spelling dig-unc-ar-11086-205542022-10-13T11:06:17Z Modeling spatial patterns in the visual cortex Daza Caro, Yudy Carolina Tauro, Carolina Beatriz Tamarit, Francisco Antonio Gleiser, Pablo Martín Neural networks Theoretical neuroscience Spatial Patterns Synchronization We propose a model for the formation of patterns in the visual cortex. The dynamical units of the model are Kuramoto phase oscillators that interact through a complex network structure embedded in two dimensions. In this way the strength of the interactions takes into account the geographical distance between units. We show that for different parameters, clustered or striped patterns emerge. Using the structure factor as an order parameter we are able to quantitatively characterize these patterns and present a phase diagram. Finally, we show that the model is able to reproduce patterns with cardinal preference, as observed in ferrets. publishedVersion Fil: Daza Caro, Yudy Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Daza Caro, Yudy Carolina. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Tauro, Carolina Beatriz. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Tauro, Carolina Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Tamarit, Francisco Antonio. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Tamarit, Francisco Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Gleiser, Pablo Martin. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche. Física Estadística e Interdisciplinaria ; Argentina. Otras Ciencias Físicas 2021-10-01T19:52:10Z 2021-10-01T19:52:10Z 2014 article Daza Caro, Y. C., Tauro, C. B., Tamarit, F. A. y Gleiser, P. M. (2014). Modeling spatial patterns in the visual cortex. Physical Review E, 90 (4), 042818. https://doi.org/10.1103/PhysRevE.90.042818 http://hdl.handle.net/11086/20554 https://doi.org/10.1103/PhysRevE.90.042818 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso ISSN 1539-3755
institution UNC AR
collection DSpace
country Argentina
countrycode AR
component Bibliográfico
access En linea
databasecode dig-unc-ar
tag biblioteca
region America del Sur
libraryname Biblioteca 'Ing. Agrónomo Moisés Farber' de la Facultad de Ciencias Agropecuarias
language eng
topic Neural networks
Theoretical neuroscience
Spatial Patterns
Synchronization
Neural networks
Theoretical neuroscience
Spatial Patterns
Synchronization
spellingShingle Neural networks
Theoretical neuroscience
Spatial Patterns
Synchronization
Neural networks
Theoretical neuroscience
Spatial Patterns
Synchronization
Daza Caro, Yudy Carolina
Tauro, Carolina Beatriz
Tamarit, Francisco Antonio
Gleiser, Pablo Martín
Modeling spatial patterns in the visual cortex
description We propose a model for the formation of patterns in the visual cortex. The dynamical units of the model are Kuramoto phase oscillators that interact through a complex network structure embedded in two dimensions. In this way the strength of the interactions takes into account the geographical distance between units. We show that for different parameters, clustered or striped patterns emerge. Using the structure factor as an order parameter we are able to quantitatively characterize these patterns and present a phase diagram. Finally, we show that the model is able to reproduce patterns with cardinal preference, as observed in ferrets.
format article
topic_facet Neural networks
Theoretical neuroscience
Spatial Patterns
Synchronization
author Daza Caro, Yudy Carolina
Tauro, Carolina Beatriz
Tamarit, Francisco Antonio
Gleiser, Pablo Martín
author_facet Daza Caro, Yudy Carolina
Tauro, Carolina Beatriz
Tamarit, Francisco Antonio
Gleiser, Pablo Martín
author_sort Daza Caro, Yudy Carolina
title Modeling spatial patterns in the visual cortex
title_short Modeling spatial patterns in the visual cortex
title_full Modeling spatial patterns in the visual cortex
title_fullStr Modeling spatial patterns in the visual cortex
title_full_unstemmed Modeling spatial patterns in the visual cortex
title_sort modeling spatial patterns in the visual cortex
publishDate 2014
url http://hdl.handle.net/11086/20554
https://doi.org/10.1103/PhysRevE.90.042818
work_keys_str_mv AT dazacaroyudycarolina modelingspatialpatternsinthevisualcortex
AT taurocarolinabeatriz modelingspatialpatternsinthevisualcortex
AT tamaritfranciscoantonio modelingspatialpatternsinthevisualcortex
AT gleiserpablomartin modelingspatialpatternsinthevisualcortex
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