Abstract

We present theory and results for protein diffusion and active transport within curved lipid bilayer membranes. Our theory takes into account the hydrodynamics within bilayer leaflets, intermonolayer slip between leaflets, and coupling with the bulk solvent fluid. Saffman and Delbruck's 1975 paper introduced a hydrodynamic model for a homogeneous flat membrane sheet and a now widely used theory for the diffusivity of membrane proteins. When membrane sheets are curved, we show how geometric and topological effects can significantly augment the protein diffusivity. We present results showing how these effects contribute to the individual and collective motions of protein inclusions in diffusive transport and self-assembly within curved lipid bilayer membranes.

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