An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles

Details An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles

2000-01-19

arxiv.org/abs/math/0001103v2

Mathematics

Analysis of PDEs

23 pages, 1 figure, AMSLaTeX, major revision of "On the existence of biconcave shape vesicles". No offset problem

Scientific paper

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.

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