Symmetry, Multistability, and Long-Range Interactions in Brain Development
- 7 November 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 95 (20) , 208701
- https://doi.org/10.1103/physrevlett.95.208701
Abstract
An analytically tractable class of dynamical models for the pattern of contour detecting neurons in the visual cortex is introduced. A permutation symmetry of the model equations guarantees the emergence of contour detectors for all stimulus orientations. By this symmetry a large number of dynamically degenerate solutions exist that quantitatively reproduce the experimentally observed patterns. Long-range interactions are essential for the stability of these realistic solutions.Keywords
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