1989 | OriginalPaper | Chapter
Dynamical Stability of Formation of Cortical Maps
Author : Shun-ichi Amari
Published in: Dynamic Interactions in Neural Networks: Models and Data
Publisher: Springer New York
Included in: Professional Book Archive
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A cortical map is a localized neural representation of the signals in the outer world. A rough map is formed under the guidance of genetic information at the initial stage of development, but it is modified and refined further by self-organization. The persent paper gives a mathematical theory of formation of a cortical map by self-organization. The theory treats both dynamic of excitation patterns and dynamics of self-organization in a neural field. This not only explains the resolution and amplification properties of a cortical map, but elucidates the dynamical stability of such a map. This explains the emergence of a microcolumnar or mosaic structure in the cerebrum.