Understanding visual map formation through vortex dynamics of spin Hamiltonian models
Biological Physics
2009-11-10 v2 Neurons and Cognition
Abstract
The pattern formation in orientation and ocular dominance columns is one of the most investigated problems in the brain. From a known cortical structure, we build spin-like Hamiltonian models with long-range interactions of the Mexican hat type. These Hamiltonian models allow a coherent interpretation of the diverse phenomena in the visual map formation with the help of relaxation dynamics of spin systems. In particular, we explain various phenomena of self-organization in orientation and ocular dominance map formation including the pinwheel annihilation and its dependency on the columnar wave vector and boundary conditions.
Cite
@article{arxiv.physics/0306047,
title = {Understanding visual map formation through vortex dynamics of spin Hamiltonian models},
author = {Myoung Won Cho and Seunghwan Kim},
journal= {arXiv preprint arXiv:physics/0306047},
year = {2009}
}
Comments
4 pages, 15 figures