Bloch waves, periodic feature maps, and cortical pattern formation.

Paul C Bressloff

doi:10.1103/physrevlett.89.088101

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Bloch waves, periodic feature maps, and cortical pattern formation.

Paul C Bressloff

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Abstract

Perturbation methods are used to solve the eigenvalue problem for cortical pattern formation in the presence of long-range neural connections. Such connections have a crystallinelike structure that breaks Euclidean symmetry to the discrete symmetry of a planar lattice group. Conditions for marginal stability are derived with the associated eigenmodes identified as Bloch waves.

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Action Potentials Electron Transport Complex IV Models, Neurological Visual Cortex Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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Paul C Bressloff. 2002-07-31. Bloch waves, periodic feature maps, and cortical pattern formation.. https://doi.org/10.1103/physrevlett.89.088101

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