Volume 1. Structure and Dynamics of Membranes

Chapter 8. Morphology of vesicles

U. Seifert
Institut für Festkörperforschung, Forschungszentrum Jülich,
52425 Jülich, Germany

R. Lipowsky
Max-Plank-Institut für Kolloid- und Grenzflächenforschung,
Kantstr. 55, 14153 Teltow-Seehof, Germany

1. Introduction: the shapes of vesicles

2. Bending elasticity and curvature models

2.1. Physical guidelines
2.2. Derivation of spontaneous-curvature model
2.3. Bilayer architecture and area-difference-elasticity model
2.4. Bilayer-couple model
2.5. Simple shapes of minimal energy
2.6. Elastic material parameters
3. Shapes of minimal energy and shape transformations
3.1. Theoretical methods
3.2. A simple model: Local curvature energy only
3.3. Phase diagrams
3.4. Temperature trajectories
3.5. Temperature-induced budding
3.6. The equilibrium area difference as a possible control parameter
4. Shape fluctuations of quasi-spherical vesicles
4.1. Static amplitudes
4.2. Dynamics
5. Non-spherical topology
5.1. Vesicles with one hole
5.2. Shapes with more holes or handles
6. Lipidmixtures
6.1. Fluid membranes consisting of several components
6.2. Domain-induced budding
6.3. Curvature-induced lateral phase segregation
7. Adhesion
7.1. Contact potential and contact curvature
7.2. Adhesion transition
7.3. Effective contact angle for strong adhesion
7.4. Adhesion-induced fusion and rupture
8. Non-fluid membranes: the red blood cell

A. Derivation of the area-difference-elasticity model

References