A mathematical theory of visual hallucination patterns |
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| Authors: | G. B. Ermentrout J. D. Cowan |
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| Affiliation: | (1) Department of Biophysics and Theoretical Biology, The University of Chicago, Chicago, Illinois, USA;(2) Present address: Mathematical Research Branch, NIAMDD, NIH, 20014 Bethesda, MD, USA |
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| Abstract: | Neuronal activity in a two-dimensional net is analyzed in the neighborhood of an instability. Bifurcation theory and group theory are used to demonstrate the existence of a variety of doublyperiodic patterns, hexagons, rolls, etc., as solutions to the field equations for the net activity. It is suggested that these simple geometric patterns are the cortical concomitants of the  form constants seen during visual hallucinosis.To Heinrich Klüver in memoriamSupported in part by NIHTG 2037 |
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