Effective free energy for pinned membranes

Abstract

We consider membranes adhered through specific receptor-ligand bonds. Thermal undulations of the membrane induce effective interactions between adhesion sites. We derive an upper bound to the free energy that is independent of interaction details. To lowest order in a systematic expansion we obtain two-body interactions which allow to map the free energy onto a lattice gas with constant density. The induced interactions alone are not strong enough to lead to a condensation of individual adhesion sites. A measure of the thermal roughness is shown to depend on the inverse square root of the density of adhesion sites, which is in good agreement with previous computer simulations.

to appear as a Rapid Communication in Phys. Rev. E

References in corpus (4)

• Lateral diffusion of a protein on a fluctuating membrane
• Segregation of receptor-ligand complexes in cell adhesion zones: Phase diagrams and role of thermal membrane roughness
• Specific Adhesion of Membranes: Mapping to an Effective Bond Lattice Gas
• Fluctuation induced attraction between adhesion sites of supported membranes

Cited by in corpus (5)

• Multiscale approaches to protein-mediated interactions between membranes - Relating microscopic and macroscopic dynamics in radially growing adhesions
• Criticality in Cell Adhesion
• Signature of a non-harmonic potential as revealed from a consistent shape and fluctuation analysis of an adherent membrane
• Entropy-driven aggregation in multilamellar membranes
• Entropic attraction of adhesion bonds toward cell boundaries