An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles
Analysis of PDEs
2007-05-23 v2
Abstract
We study the conditions on the physical parameters in the Helfrich bending energy of lipid bilayer vesicles. Among embedded surfaces with a biconcave axisymmetric shape, the variation equation is analyzed in detail. This leads to simple conditions which guarantee the solution the information about the geometry.
Keywords
Cite
@article{arxiv.math/0001103,
title = {An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles},
author = {Thomas Kwok-keung Au and Tom Yau-heng Wan},
journal= {arXiv preprint arXiv:math/0001103},
year = {2007}
}
Comments
23 pages, 1 figure, AMSLaTeX, major revision of "On the existence of biconcave shape vesicles". No offset problem