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3D normal coordinate systems for the cortex: applications in the deafened cortices in babies, adults and cats

Presented by: 
Tilak Ratnanather Johns Hopkins University
Friday 17th November 2017 - 11:30 to 12:15
INI Seminar Room 1
We describe a surface-based diffeomorphic algorithm to generate 3D coordinate grids in the cortical ribbon. In the grid, normal coordinate lines from the grey/white (inner) surface to the grey/csf (outer) surface are constrained to be normal at the surfaces. Specifically, the cortical ribbon is described by two triangulated surfaces with open boundaries. Conceptually, the inner surface sits on top of the white matter structure and the outer on top of the gray matter. It is assumed that the cortical ribbon consists of cortical columns which are orthogonal to the white matter surface. This might be viewed as a consequence of the development of the columns in the embryo. It is also assumed that the columns are orthogonal to the outer surface. So if we construct a vector field such that the inner surface evolves diffeomorphically towards the outer one, the distance of the resultant trajectories will be a measure of thickness. Applications will be described for the deafened auditory cortices in babies, adults and cats. The approach offers potential for quantitative functional and histological analysis of cortical activity and anatomy.

(Joint work with Laurent Younes, Sylvain Arguillère, Kwame Kutten, Andrej Kral, Peter Hubka and Michael Miller). 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons