TY - JOUR
A1 - Reichl, Lars
A1 - Heide, Dominik
A1 - Löwel, Siegrid
A1 - Crowley, Justin C.
A1 - Kaschube, Matthias
A1 - Wolf, Fred
T1 - Coordinated optimization of visual cortical maps (I) symmetry-based analysis
T2 - PLoS Computational Biology
N2 - 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.
Y1 - 2012
UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/27498
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hebis:30:3-274988
SN - 1553-7358
SN - 1553-734X
N1 - Copyright: © 2012 Reichl et al. 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 credited.
VL - 8
IS - (11): e1002466
SP - 1
EP - 24
PB - Public Library of Science
CY - San Francisco, Calif.
ER -