Conditions for the Formation of Axisymmetric Biconcave Vesicles
Biological Physics
2007-05-23 v1 Medical Physics
q-bio
Abstract
In this article, the formation of biconcave vesicle according to the minimization bending energy (Helfrich's model) is studied. We present that in order to have biconcave shape vesicle, there are necessary conditions on the parameters of the energy functional and there are implications on the geometric quantities of the vesicle. Furthermore, we also give a clear sufficient condition on the parameters to have the formation of biconcave shape vesicle.
Keywords
Cite
@article{arxiv.physics/9905013,
title = {Conditions for the Formation of Axisymmetric Biconcave Vesicles},
author = {Thomas Kwok-keung Au and Tom Yau-heng Wan},
journal= {arXiv preprint arXiv:physics/9905013},
year = {2007}
}
Comments
14 pages, 33 figures, AMS-LaTeX (pictures embedded by epsf macros)