Neural pattern formation via a competitive Hebbian mechanism

In this contribution we investigate a simple pattern formation process [9,10] based on Hebbian learning and competitive interactions within cortex. This process generates spatial representations of afferent (sensory) information which strongly resemble patterns of response properties of neurons commonly called brain maps. For one of the most thoroughly studied phenomena in cortical development, the formation of topographic maps, orientation and ocular dominance columns in macaque striate cortex, the process, for example, generates the observed patterns of receptive field properties including the recently described correlations between orientation preference and ocular dominance. Competitive Hebbian learning has not only proven to be a useful concept in the understanding of development and plasticity in several brain areas, but the underlying principles have have been successfully applied to problems in machine learning [22]. The model's universality, simplicity, predictive power, and usefulness warrants a closer investigation.

[1]  KD Miller A model for the development of simple cell receptive fields and the ordered arrangement of orientation columns through activity-dependent competition between ON- and OFF-center inputs , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[2]  Klaus Obermayer,et al.  A Model for the Development of the Spatial Structure of Retinotopic Maps and Orientation Columns , 1992 .

[3]  N. Swindale,et al.  A model for the formation of orientation columns , 1982, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[4]  K. Obermayer,et al.  Statistical-mechanical analysis of self-organization and pattern formation during the development of visual maps. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[5]  H. Ritter,et al.  A principle for the formation of the spatial structure of cortical feature maps. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[6]  G. Blasdel,et al.  Orientation selectivity, preference, and continuity in monkey striate cortex , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  G. Blasdel,et al.  Voltage-sensitive dyes reveal a modular organization in monkey striate cortex , 1986, Nature.

[8]  K. Obermayer,et al.  Geometry of orientation and ocular dominance columns in monkey striate cortex , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[9]  Klaus Schulten,et al.  Models of Orientation and Ocular Dominance Columns in the Visual Cortex: A Critical Comparison , 1995, Neural Computation.

[10]  T. Kohonen Self-organized formation of topographically correct feature maps , 1982 .

[11]  L. Palmer,et al.  The retinotopic organization of area 17 (striate cortex) in the cat , 1978, The Journal of comparative neurology.

[12]  E I Knudsen,et al.  Neural maps of interaural time and intensity differences in the optic tectum of the barn owl , 1989, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[13]  T. Kohonen Self-Organized Formation of Correct Feature Maps , 1982 .

[14]  Helge J. Ritter,et al.  Neural computation and self-organizing maps - an introduction , 1992, Computation and neural systems series.

[15]  Roman Bek,et al.  Discourse on one way in which a quantum-mechanics language on the classical logical base can be built up , 1978, Kybernetika.

[16]  J. Kaas,et al.  Variability in hand surface representations in areas 3b and 1 in adult owl and squirrel monkeys , 1987, The Journal of comparative neurology.

[17]  R Linsker,et al.  From basic network principles to neural architecture: emergence of orientation columns. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[18]  G. Blasdel,et al.  Differential imaging of ocular dominance and orientation selectivity in monkey striate cortex , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[19]  K. Miller,et al.  Ocular dominance column development: analysis and simulation. , 1989, Science.

[20]  J. Kaas,et al.  Multiple representations of the body within the primary somatosensory cortex of primates. , 1979, Science.

[21]  Helge J. Ritter,et al.  Large-scale simulations of self-organizing neural networks on parallel computers: application to biological modelling , 1990, Parallel Comput..