Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1095.74019
Hadzhilazova, Mariana T.; Mladenov, Iva\"ilo M.
A mathematical examination of squeezing and stretching of spherical vesicles. (English)
[A] Mladenov, Iva\"ilo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 231-239 (2005). ISBN 954-84952-9-5/pbk

Summary: The geometry of a few simple models closely related to the Cole's and Yoneda's experiments [{\it K. Cole}, J. Cell. Comp. Physiol. 1, 1--9 (1932); {\it M. Yoneda}, J. Exp. Biol. 41, 893--906 (1964)] are studied in some detail. Their principal difference stems from the boundary conditions at the points where the membranes detach from the compressing planes. Mathematically this affects the equilibrium configurations, because in all these cases the mean curvature suffers a discontinuity while this is not valid for the tangent vector. We also derive a new parametrization of Delaunay's nodoids.

MSC 2000:: *74K15 Membranes
74L15 Biomechanical solid mechanics
92C10 Biomechanics

Keywords: Cole model; discontinuous curvature; parametrization; Delaunay's nodoids

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]