Fluctuation induced attraction between adhesion sites of supported membranes

Abstract

We use scaling arguments and coarse grained Monte Carlo simulations to study the fluctuation mediated interactions between a pair of adhesion sites of a bilayer membrane and a supporting surface. We find that the potential of mean force is an infinitely long range attractive potential that grows logarithmically with the pair distance $r$: $\varphi (\vec{r})/k_{B}T=c\ln r$, where the constant $c=2$ and $c=1$ for non-stressed and stressed membranes, respectively. When, in addition to excluded volume repulsion, the membrane also interacts with the underlying surface through a height-dependent attractive potential, the potential $\varphi (\vec{r})$ is screened at large pair distances.

References in corpus (3)

• Adhesion of membranes via receptor-ligand complexes: Domain formation, binding cooperativity, and active processes
• Membrane fluctuations near a plane rigid surface
• Mode excitation Monte Carlo simulations of mesoscopically large membranes

Cited by in corpus (10)

• Segregation of receptor-ligand complexes in cell adhesion zones: Phase diagrams and role of thermal membrane roughness
• Fluctuations of time averages for Langevin dynamics in a binding force field
• Multiscale approaches to protein-mediated interactions between membranes - Relating microscopic and macroscopic dynamics in radially growing adhesions
• Criticality in Cell Adhesion
• Statistical mechanics of an elastically pinned membrane: Static profile and correlations
• Effective free energy for pinned membranes
• Entropy-driven aggregation in multilamellar membranes
• Coarse grained molecular simulations of membrane adhesion domains
• Entropic attraction of adhesion bonds toward cell boundaries
• Coupling of Lipid Phase Behavior and Protein Oligomerization in a Lattice Model of Raft Membranes