Bloch waves, periodic feature maps, and cortical pattern formation.
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.
Bressloff
Paul C
PC
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
D000200:Action Potentials / Q000502:physiology; D003576:Electron Transport Complex IV / Q000502:physiology; D008959:Models, Neurological; D014793:Visual Cortex / Q000033:anatomy & histology / Q000201:enzymology / Q000502:physiology*
D003576:Electron Transport Complex IV