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Intrinsic Geometry of Biological Surface Growth (Paperback)
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Intrinsic Geometry of Biological Surface Growth (Paperback)
Series: Lecture Notes in Biomathematics, 67
Expected to ship within 10 - 15 working days
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1.1 General Introduction The work which comprises this essay formed
part of a multidiscip linary project investigating the folding of
the developing cerebral cortex in the ferret. The project as a
whole combined a study, at the histological level, of the
cytoarchitectural development concom itant with folding and a
mathematical study of folding viewed from the perspective of
differential geometry. We here concentrate on the differential
geometry of brain folding. Histological results which have some
significance to the geometry of the cortex are re ferred to, but
are not discussed in any depth. As with any truly multidisciplinary
work, this essay has objectives which lie in each of its
constituent disciplines. From a neuroana tomical point of view, the
work explores the use of the surface geo metry of the developing
cortex as a parameter for the underlying growth process.
Geometrical parameters of particular interest and theoretical
importance are surface curvatures. Our experimental portion reports
the measurement of the surface curvature of the ferret brain during
the early stages of folding. The use of sur face curvatures and
other parameters of differential geometry in the formulation of
theoretical models of cortical folding is dis cussed."
General
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