Open Access
VOL. 6 | 2005 A Mathematical Examination of Squeezing and Stretching of Spherical Vesicles
Mariana T. Hadzhilazova, Ivaïlo M. Mladenov

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2005: 231-239 (2005) DOI: 10.7546/giq-6-2005-231-239


The geometry of a few simple models closely related to the Cole’s and Yoneda’s experiments are studied in some detail. Their principal differences are through the boundary conditions at the points where the membranes detach themselves from the compressing planes. Mathematically this affect the equilibrium configurations as in all these cases the mean curvature suffers a discontinuity while this is not so for the tangent vector. A new parametrization of the Delaunay’s nodoids is derived.


Published: 1 January 2005
First available in Project Euclid: 12 June 2015

zbMATH: 1095.74019
MathSciNet: MR2161769

Digital Object Identifier: 10.7546/giq-6-2005-231-239

Rights: Copyright © 2005 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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