Chapter 11. Generic interactions of flexible membranes

R. Lipowsky
Institut für Festkörperforschung, Forschungszentrum Jülich, D-2425 Jülich, Germany
and Max-Planck-Institut für Kolloid- und Grenzflächenforschung,
Kantstr. 55, D-14513 Teltow-Seehof, Germany

1. Introduction

1.1. From biomembranes to bilayers
1.2. Molecular structure of lipid bilayers
1.3. Elastic properties of fluid membranes

2.1. Surface force apparatus
2.2. Micropipet aspiration of giant vesicles
2.3. Reflection interference contrast microscopy
2.4. Multilayer systems under stress
2.5. Surface reflectivity of X-rays and neutrons
2.6. Optical microscopy of membrane bunches

3.1. Hydration forces
3.2. Van der Waals forces
3.3. Electrostatic forces
3.4. Forces mediated by macromolecules

4.1. Bending modes as an ideal gas of humps
4.2. From membranes to strings
4.3. Effect of lateral tension
4.4. Stretching versus bending modes

5.1. Systematic theory for two membranes
5.2. Disjoining pressure from hard wall
5.3. Attractive interactions and unbinding transitions
5.4. Two-state model for unbinding transition
5.5. Unbinding transitions for realistic interactions
5.6. Direct interactions with a potential barrier
5.7. Tension-induced adhesion

6.1. Model for many interacting membranes
6.2. One-membrane approximation
6.3. Two-membrane approximation
6.4. Hard-wall interaction
6.5. Cohesion of freely suspended bunches
6.6. Adhesion to a substrate or another interface

7.1. Single protrusion modes
7.2. Models for collective protrusion modes
7.3. Disjoining pressure from hardwall
7.4. Disjoining pressure from exponential hydration
7.5. Protrusions versus bending undulations

8.1. Polymerized membranes
8.2. Random interactions
8.3. Perturbative renormalization
8.4. Dynamics of membranes
8.5. Membrane fusion
8.6. Experiments on model membranes

A. Roughness of confined membranes

B. Limit of lyotropic liquid crystals

References