Different ocular dominance map formation influenced by orientation preference columns in visual cortices.

In animal experiments, the observed orientation preference and ocular dominance columns in the visual cortex of the brain show various pattern types. Here, we show that the different visual map formations in various species are due to the crossover behavior in anisotropic systems composed of orientational and scalar components such as easy-plane Heisenberg models. We predict the transition boundary between different pattern types with the anisotropy as a main bifurcation parameter, which is consistent with experimental observations.

[1]  F. Wolf,et al.  Spontaneous pinwheel annihilation during visual development , 1998, Nature.

[2]  K. Obermayer,et al.  Geometry of orientation and ocular dominance columns in monkey striate cortex , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[3]  Klaus Schulten,et al.  Models of Orientation and Ocular Dominance Columns in the Visual Cortex: A Critical Comparison , 1995, Neural Computation.

[4]  S. Levay,et al.  The complete pattern of ocular dominance stripes in the striate cortex and visual field of the macaque monkey , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[5]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[6]  Shigeru Tanaka,et al.  Theory of Self-Organization of Cortical Maps , 1988, NIPS.

[7]  Instability of planar vortices in the two-dimensional easy-plane Heisenberg model with distance-dependent interactions , 2003, cond-mat/0310753.

[8]  Jack D. Cowan,et al.  Simple Spin Models for the Development of Ocular Dominance Columns and Iso-Orientation Patches , 1990, NIPS.

[9]  W. Singer,et al.  Topographic organization of the orientation column system in large flat‐mounts of the cat visual cortex: A 2‐deoxyglucose study , 1987, The Journal of comparative neurology.

[10]  S Löwel,et al.  Ocular dominance column development: strabismus changes the spacing of adjacent columns in cat visual cortex. , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[11]  Wysin.  Instability of in-plane vortices in two-dimensional easy-plane ferromagnets. , 1994, Physical review. B, Condensed matter.

[12]  K. Obermayer,et al.  Statistical-mechanical analysis of self-organization and pattern formation during the development of visual maps. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[13]  S. Takeno,et al.  Classical Spin Systems, Nonlinear Evolution Equations and Nonlinear Excitations , 1980 .

[14]  M. Cynader,et al.  Functional organization of the cortical 17/18 border region in the cat , 2004, Experimental Brain Research.

[15]  M. Sur,et al.  Optically imaged maps of orientation preference in primary visual cortex of cats and ferrets , 1997, The Journal of comparative neurology.

[16]  Bishop,et al.  Vortices in the classical two-dimensional anisotropic Heisenberg model. , 1989, Physical review. B, Condensed matter.

[17]  W. Singer,et al.  The pattern of ocular dominance columns in flat-mounts of the cat visual cortex , 2004, Experimental Brain Research.

[18]  D. Signorini,et al.  Neural networks , 1995, The Lancet.

[19]  Costa.  Static and dynamic simulation in the classical two-dimensional anisotropic Heisenberg model. , 1996, Physical review. B, Condensed matter.

[20]  W F Windle,et al.  The oxygen and carbon dioxide content of the blood of normal and pregnant decerebrate cats , 1939, The Journal of physiology.

[21]  R. C. Van Sluyters,et al.  The overall pattern of ocular dominance bands in cat visual cortex , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[22]  D. Fitzpatrick,et al.  Orientation Selectivity and the Arrangement of Horizontal Connections in Tree Shrew Striate Cortex , 1997, The Journal of Neuroscience.

[23]  L. C. Katz,et al.  Development of ocular dominance columns in the absence of retinal input , 1999, Nature Neuroscience.

[24]  Stephen Grossberg,et al.  Rules for the cortical map of ocular dominance and orientation columns , 1994, Neural Networks.

[25]  M. Handzic.  5 , 1824, The Banality of Heidegger.

[26]  M. W. Cho,et al.  Understanding visual map formation through vortex dynamics of spin Hamiltonian models. , 2003, Physical review letters.