Journal Article10.1103/PHYSREVA.41.4517
Anchor ring-vesicle membranes.
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TL;DR: In this article, a family of exact and analytical solutions of the equilibrium shape equation of vesicle membranes is found, which are anchor rings with generating circles of radii in the ratio 1/ \ensuremath{surd}2.
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Abstract: A family of the exact and analytical solutions of the equilibrium shape equation of vesicle membranes is found. They are anchor rings with generating circles of radii in the ratio 1/ \ensuremath{\surd}2 . It is shown that these ring vesicles are stable for some negative values of their spontaneous curvatures, such that experimental construction of such vesicles seems possible. A discussion shows that a positive Gauss-curvature elastic modulus favors the formation of these special vesicles.
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