Nonaxisymmetric vesicle shapes in a generalized bilayer-couple model and the transition between oblate and prolate axisymmetric shapes.

A theoretical approach to calculate shapes of phospholipid vesicles is developed. It is general in the sense that it is not restricted to shapes with special symmetry properties, and it includes a stability analysis of the shapes. In keeping with recent experimental findings, the description of the vesicle membrane is based on the generalized bilayer-couple model- According to this concept, the bilayer structure of the membrane is modeled by representing its two monolayers as closed neutral surfaces with a constant separation distance. Equilibrium shapes are assumed to correspond to the minimum of the membrane elastic energy at constant values of the membrane area and the vesicle volume

[1]  Rao,et al.  Equilibrium budding and vesiculation in the curvature model of fluid lipid vesicles. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[2]  S. Svetina,et al.  Membrane bending energy and shape determination of phospholipid vesicles and red blood cells , 1989, European Biophysics Journal.

[3]  W. Helfrich.  Blocked Lipid Exchange in Bilayers and its Possible Influence on the Shape of Vesicles , 1974, Zeitschrift fur Naturforschung. Section C, Biosciences.

[4]  J. Palek.  Hereditary elliptocytosis and related disorders. , 1985, Clinics in haematology.

[5]  Seifert,et al.  Shape transformations of vesicles: Phase diagram for spontaneous- curvature and bilayer-coupling models. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[6]  P. Devaux,et al.  Shape changes of giant liposomes induced by an asymmetric transmembrane distribution of phospholipids. , 1992, Biophysical journal.

[7]  R. Waugh,et al.  Role of lamellar membrane structure in tether formation from bilayer vesicles. , 1992, Biophysical journal.

[8]  Reinhard Lipowsky,et al.  The conformation of membranes , 1991, Nature.

[9]  W. Helfrich.  Elastic Properties of Lipid Bilayers: Theory and Possible Experiments , 1973, Zeitschrift fur Naturforschung. Teil C: Biochemie, Biophysik, Biologie, Virologie.

[10]  H. Engelhardt,et al.  Membrane bending elasticity and its role for shape fluctuations and shape transformations of cells and vesicles. , 1986, Faraday discussions of the Chemical Society.

[11]  E. Evans,et al.  Bending resistance and chemically induced moments in membrane bilayers. , 1974, Biophysical journal.

[12]  Evan Evans,et al.  Physical properties of surfactant bilayer membranes: thermal transitions, elasticity, rigidity, cohesion and colloidal interactions , 1987 .

[13]  M. Sheetz,et al.  Biological membranes as bilayer couples. A molecular mechanism of drug-erythrocyte interactions. , 1974, Proceedings of the National Academy of Sciences of the United States of America.

[14]  W. Helfrich,et al.  The curvature elasticity of fluid membranes : A catalogue of vesicle shapes , 1976 .

[15]  W. Helfrich,et al.  Red blood cell shapes as explained on the basis of curvature elasticity. , 1976, Biophysical journal.

[16]  R. Heinrich,et al.  Nearly spherical vesicle shapes calculated by use of spherical harmonics : axisymmetric and nonaxisymmetric shapes and their stability , 1992 .

[17]  S. Svetina,et al.  The mechanical behaviour of cell membranes as a possible physical origin of cell polarity. , 1990, Journal of theoretical biology.

[18]  U. Seifert,et al.  Shape Transformations of Giant Vesicles: Extreme Sensitivity to Bilayer Asymmetry , 1990 .

[19]  J. Käs,et al.  Thermally induced budding of phospholipid vesicles — a discontinuous process , 1993 .

[20]  W. Helfrich,et al.  Budding of lipid bilayer vesicles and flat membranes , 1992 .

[21]  R. Waugh,et al.  Local and nonlocal curvature elasticity in bilayer membranes by tether formation from lecithin vesicles. , 1992, Biophysical journal.

[22]  J. Käs,et al.  Shape transitions and shape stability of giant phospholipid vesicles in pure water induced by area-to-volume changes. , 1991, Biophysical journal.

[23]  E. Evans.  Minimum energy analysis of membrane deformation applied to pipet aspiration and surface adhesion of red blood cells. , 1980, Biophysical journal.