dorsal/arxiv
View SchemaUnderstanding visual map formation through vortex dynamics of spin Hamiltonian models
| Authors | Myoung Won Cho, Seunghwan Kim |
|---|---|
| Categories | |
| ArXiv ID | physics/0306047 |
| URL | https://arxiv.org/abs/physics/0306047 |
| DOI | 10.1103/PhysRevLett.92.018101 |
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.
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"abstract": "The pattern formation in orientation and ocular dominance columns is one of\nthe most investigated problems in the brain. From a known cortical structure,\nwe build spin-like Hamiltonian models with long-range interactions of the\nMexican hat type. These Hamiltonian models allow a coherent interpretation of\nthe diverse phenomena in the visual map formation with the help of relaxation\ndynamics of spin systems. In particular, we explain various phenomena of\nself-organization in orientation and ocular dominance map formation including\nthe pinwheel annihilation and its dependency on the columnar wave vector and\nboundary conditions.",
"arxiv_id": "physics/0306047",
"authors": [
"Myoung Won Cho",
"Seunghwan Kim"
],
"categories": [
"physics.bio-ph",
"q-bio.NC"
],
"doi": "10.1103/PhysRevLett.92.018101",
"title": "Understanding visual map formation through vortex dynamics of spin Hamiltonian models",
"url": "https://arxiv.org/abs/physics/0306047"
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