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

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

2001-04-05

arxiv.org/abs/physics/0104024v2

Physics

Biological Physics

16 pages, 6 EPS figures and 2 PS figures

Scientific paper

10.1142/S0217979201007087

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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