An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles

Thomas Kwok-keung Au; Tom Yau-heng Wan

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An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles

Thomas Kwok-keung Au·Tom Yau-heng Wan

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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.

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Thomas Kwok-keung Au, Tom Yau-heng Wan. 2001-02-13. An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles. https://arxiv.org/abs/math/0001103

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