Statistical-mechanical analysis of self-organization and pattern formation during the development of visual maps
- 1 May 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 45 (10), 7568-7589
- https://doi.org/10.1103/physreva.45.7568
Abstract
We report a detailed analytical and numerical model study of pattern formation during the development of visual maps, namely, the formation of topographic maps and orientation and ocular dominance columns in the striate cortex. Pattern formation is described by a stimulus-driven Markovian process, the self-organizing feature map. This algorithm generates topologically correct maps between a space of (visual) input signals and an array of formal ‘‘neurons,’’ which in our model represents the cortex. We define order parameters that are a function of the set of visual stimuli an animal perceives, and we demonstrate that the formation of orientation and ocular dominance columns is the result of a global instability of the retinoptic projection above a critical value of these order parameters. We characterize the spatial structure of the emerging patterns by power spectra, correlation functions, and Gabor transforms, and we compare model predictions with experimental data obtained from the striate cortex of the macaque monkey with optical imaging. Above the critical value of the order parameters the model predicts a lateral segregation of the striate cortex into (i) binocular regions with linear changes in orientation preference, where iso-orientation slabs run perpendicular to the ocular dominance bands, and (ii) monocular regions with low orientation specificity, which contain the singularities of the orientation map. Some of these predictions have already been verified by experiments.Keywords
This publication has 23 references indexed in Scilit:
- Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patternsNature, 1991
- Impulse activity and the patterning of connections during cns developmentNeuron, 1990
- From basic network principles to neural architecture: emergence of orientation columns.Proceedings of the National Academy of Sciences, 1986
- Functional architecture of cortex revealed by optical imaging of intrinsic signalsNature, 1986
- Voltage-sensitive dyes reveal a modular organization in monkey striate cortexNature, 1986
- Analysis of a simple self-organizing processBiological Cybernetics, 1982
- Self-organized formation of topologically correct feature mapsBiological Cybernetics, 1982
- How patterned neural connections can be set up by self-organizationProceedings of the Royal Society of London. B. Biological Sciences, 1976
- Sequence regularity and geometry of orientation columns in the monkey striate cortexJournal of Comparative Neurology, 1974
- Self-organization of orientation sensitive cells in the striate cortexKybernetik, 1973