An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles
arXiv:math/0001103
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.
23 pages, 1 figure, AMSLaTeX, major revision of "On the existence of biconcave shape vesicles". No offset problem