Coordinated optimization of visual cortical maps (I) symmetry-based analysis.

In the primary visual cortex of primates and carnivores, functional architecture can be characterized by maps of various stimulus features such as orientation preference (OP), ocular dominance (OD), and spatial frequency. It is a long-standing question in theoretical neuroscience whether the observe...

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Autores principales:	Lars Reichl, Dominik Heide, Siegrid Löwel, Justin C Crowley, Matthias Kaschube, Fred Wolf
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2012
Materias:	Biology (General) QH301-705.5
Acceso en línea:	https://doaj.org/article/f8d0e6525702487782d839936703c4fb
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spelling	oai:doaj.org-article:f8d0e6525702487782d839936703c4fb2021-11-18T05:52:43ZCoordinated optimization of visual cortical maps (I) symmetry-based analysis.1553-734X1553-735810.1371/journal.pcbi.1002466https://doaj.org/article/f8d0e6525702487782d839936703c4fb2012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23144599/?tool=EBIhttps://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358In the primary visual cortex of primates and carnivores, functional architecture can be characterized by maps of various stimulus features such as orientation preference (OP), ocular dominance (OD), and spatial frequency. It is a long-standing question in theoretical neuroscience whether the observed maps should be interpreted as optima of a specific energy functional that summarizes the design principles of cortical functional architecture. A rigorous evaluation of this optimization hypothesis is particularly demanded by recent evidence that the functional architecture of orientation columns precisely follows species invariant quantitative laws. Because it would be desirable to infer the form of such an optimization principle from the biological data, the optimization approach to explain cortical functional architecture raises the following questions: i) What are the genuine ground states of candidate energy functionals and how can they be calculated with precision and rigor? ii) How do differences in candidate optimization principles impact on the predicted map structure and conversely what can be learned about a hypothetical underlying optimization principle from observations on map structure? iii) Is there a way to analyze the coordinated organization of cortical maps predicted by optimization principles in general? To answer these questions we developed a general dynamical systems approach to the combined optimization of visual cortical maps of OP and another scalar feature such as OD or spatial frequency preference. From basic symmetry assumptions we obtain a comprehensive phenomenological classification of possible inter-map coupling energies and examine representative examples. We show that each individual coupling energy leads to a different class of OP solutions with different correlations among the maps such that inferences about the optimization principle from map layout appear viable. We systematically assess whether quantitative laws resembling experimental observations can result from the coordinated optimization of orientation columns with other feature maps.Lars ReichlDominik HeideSiegrid LöwelJustin C CrowleyMatthias KaschubeFred WolfPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 8, Iss 11, p e1002466 (2012)
institution	DOAJ
collection	DOAJ
language	EN
topic	Biology (General) QH301-705.5
spellingShingle	Biology (General) QH301-705.5 Lars Reichl Dominik Heide Siegrid Löwel Justin C Crowley Matthias Kaschube Fred Wolf Coordinated optimization of visual cortical maps (I) symmetry-based analysis.
description	In the primary visual cortex of primates and carnivores, functional architecture can be characterized by maps of various stimulus features such as orientation preference (OP), ocular dominance (OD), and spatial frequency. It is a long-standing question in theoretical neuroscience whether the observed maps should be interpreted as optima of a specific energy functional that summarizes the design principles of cortical functional architecture. A rigorous evaluation of this optimization hypothesis is particularly demanded by recent evidence that the functional architecture of orientation columns precisely follows species invariant quantitative laws. Because it would be desirable to infer the form of such an optimization principle from the biological data, the optimization approach to explain cortical functional architecture raises the following questions: i) What are the genuine ground states of candidate energy functionals and how can they be calculated with precision and rigor? ii) How do differences in candidate optimization principles impact on the predicted map structure and conversely what can be learned about a hypothetical underlying optimization principle from observations on map structure? iii) Is there a way to analyze the coordinated organization of cortical maps predicted by optimization principles in general? To answer these questions we developed a general dynamical systems approach to the combined optimization of visual cortical maps of OP and another scalar feature such as OD or spatial frequency preference. From basic symmetry assumptions we obtain a comprehensive phenomenological classification of possible inter-map coupling energies and examine representative examples. We show that each individual coupling energy leads to a different class of OP solutions with different correlations among the maps such that inferences about the optimization principle from map layout appear viable. We systematically assess whether quantitative laws resembling experimental observations can result from the coordinated optimization of orientation columns with other feature maps.
format	article
author	Lars Reichl Dominik Heide Siegrid Löwel Justin C Crowley Matthias Kaschube Fred Wolf
author_facet	Lars Reichl Dominik Heide Siegrid Löwel Justin C Crowley Matthias Kaschube Fred Wolf
author_sort	Lars Reichl
title	Coordinated optimization of visual cortical maps (I) symmetry-based analysis.
title_short	Coordinated optimization of visual cortical maps (I) symmetry-based analysis.
title_full	Coordinated optimization of visual cortical maps (I) symmetry-based analysis.
title_fullStr	Coordinated optimization of visual cortical maps (I) symmetry-based analysis.
title_full_unstemmed	Coordinated optimization of visual cortical maps (I) symmetry-based analysis.
title_sort	coordinated optimization of visual cortical maps (i) symmetry-based analysis.
publisher	Public Library of Science (PLoS)
publishDate	2012
url	https://doaj.org/article/f8d0e6525702487782d839936703c4fb
work_keys_str_mv	AT larsreichl coordinatedoptimizationofvisualcorticalmapsisymmetrybasedanalysis AT dominikheide coordinatedoptimizationofvisualcorticalmapsisymmetrybasedanalysis AT siegridlowel coordinatedoptimizationofvisualcorticalmapsisymmetrybasedanalysis AT justinccrowley coordinatedoptimizationofvisualcorticalmapsisymmetrybasedanalysis AT matthiaskaschube coordinatedoptimizationofvisualcorticalmapsisymmetrybasedanalysis AT fredwolf coordinatedoptimizationofvisualcorticalmapsisymmetrybasedanalysis
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Coordinated optimization of visual cortical maps (I) symmetry-based analysis.

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