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Large deformation of spherical vesicle studied by perturbation theory and Surface evolver

Jianjun Zhou·Yong Zhang·Xin Zhou·Ou-Yang Zhong-can
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Abstract

With tangent angle perturbation approach the axial symmetry deformation of a spherical vesicle in large under the pressure changes is studied by the elasticity theory of Helfrich spontaneous curvature model.Three main results in axial symmetry shape: biconcave shape, peanut shape, and one type of myelin are obtained. These axial symmetry morphology deformations are in agreement with those observed in lipsome experiments by dark-field light microscopy [Hotani, J. Mol. Biol. 178, (1984) 113] and in the red blood cell with two thin filaments (myelin) observed in living state (see, Bessis, Living Blood Cells and Their Ultrastructure, Springer-Verlag, 1973). Furthermore, the biconcave shape and peanut shape can be simulated with the help of a powerful software, Surface Evolver [Brakke, Exp. Math. 1, 141 (1992) 141], in which the spontaneous curvature can be easy taken into account.

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Jianjun Zhou, Yong Zhang, Xin Zhou, Ou-Yang Zhong-can. 2001-04-06. Large deformation of spherical vesicle studied by perturbation theory and Surface evolver. https://doi.org/10.1142/s0217979201007087

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