A mathematical theory of visual hallucination patterns.

G B Ermentrout; J D Cowan

doi:10.1007/bf00336965

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A mathematical theory of visual hallucination patterns.

G B Ermentrout·J D Cowan

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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 doubly-periodic 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.

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Action Potentials Hallucinations Humans Membrane Potentials Models, Neurological Nerve Net Neural Inhibition Periodicity Vision, Ocular Visual Cortex Visual Fields Journal Article Research Support, U.S. Gov't, Non-P.H.S.Research Support, U.S. Gov't, P.H.S.

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G B Ermentrout, J D Cowan. 1979. A mathematical theory of visual hallucination patterns.. https://doi.org/10.1007/bf00336965

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