Lateral diffusion induced by active proteins in a biomembrane

Abstract

We discuss the hydrodynamic collective effects due to active protein molecules that are immersed in lipid bilayer membranes and modeled as stochastic force dipoles. We specifically take into account the presence of the bulk solvent which surrounds the two-dimensional fluid membrane. Two membrane geometries are considered: the free membrane case and the confined membrane case. Using the generalized membrane mobility tensors, we estimate the active diffusion coefficient and the drift velocity as a function of the size of a diffusing object. The hydrodynamic screening lengths distinguish the two asymptotic regimes of these quantities. Furthermore, the competition between the thermal and non-thermal contributions in the total diffusion coefficient is characterized by two length scales corresponding to the two membrane geometries. These characteristic lengths describe the crossover between different asymptotic behaviors when they are larger than the hydrodynamic screening lengths.

arXiv comment11 pages, 4 figures

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• Nonequilibrium Transport Induced by Biological Nanomachines
• Sensing the shape of a cell with reaction-diffusion and energy minimization
• Pair dynamics of active force dipoles in an odd-viscous fluid
• Shear viscosity of two-state enzyme solutions
• Three-disk microswimmer in a supported fluid membrane
• Axisymmetric monopole and dipole flow singularities in proximity of a stationary no-slip plate immersed in a Brinkman fluid
• Active gels, heavy tails, and the cytoskeleton
• Rotational mobility in spherical membranes: The interplay between Saffman-Delbrück length and inclusion size