An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles

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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

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