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Tracking Morphogenetic Tissue Deformations in the Early Chick Embryo
Published on: October 17, 2011
Geometrical aspects of surface morphogenesis
1Department of Physics, University of Toronto, Ontario, Canada.
Abstract:
This paper is concerned with the morphogenesis of structures which form thin deformable sheets. A general formalism is presented for the deformation of a sheet in the presence of an isotropic local body stress. This formalism leads to a set of equations, based on the theory of shells, in which corrections are made in the geometry due to large deformations. Under certain conditions the equations may be solved to give the surface metric tensor as a function of the local tension. A numerical example based on a simple "threshold" model is also presented.
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