Symmetry considerations and development of pinwheels in visual maps

Details Symmetry considerations and development of pinwheels in visual maps Symmetry considerations and development of pinwheels in visual maps

2003-12-19

arxiv.org/abs/cond-mat/0312539v1

Proc. Natl. Acad. Sci. v.100, pp16036-16040 (2003)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1073/pnas.2531343100

Neurons in the visual cortex respond best to rod-like stimuli of given orientation. While the preferred orientation varies continuously across most of the cortex, there are prominent pinwheel centers around which all orientations a re present. Oriented segments abound in natural images, and tend to be collinear}; neurons are also more likely to be connected if their preferred orientations are aligned to their topographic separation. These are indications of a reduced symmetry requiring joint rotations of both orientation preference and the underl ying topography. We verify that this requirement extends to cortical maps of mo nkey and cat by direct statistical analysis. Furthermore, analytical arguments and numerical studies indicate that pinwheels are generically stable in evolving field models which couple orientation and topography.

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