Diffusion on Ruffled Membrane Surfaces
arXiv:0712.2679 · doi:10.1063/1.2739526
Abstract
We present a position Langevin equation for overdamped particle motion on rough two-dimensional surfaces. A Brownian Dynamics algorithm is suggested to evolve this equation numerically, allowing for the prediction of effective (projected) diffusion coefficients over corrugated surfaces. In the case of static surface roughness, we find that a simple area-scaling prediction for the projected diffusion coefficient leads to seemingly quantitative agreement with numerical results. To study the effect of dynamic surface evolution on the diffusive process, we consider particle diffusion over a thermally fluctuating elastic membrane. Surface fluctuation has the effect of increasing the effective diffusivity toward a limiting annealed-surface value discussed previously. We argue that protein motion over cell surfaces spans a variety of physical regimes, making it impossible to identify a single approximation scheme appropriate to all measurements of interest.
18 pages, 12 figures
References in corpus (3)
Cited by in corpus (24)
- Mesoscale computational studies of membrane bilayer remodeling by curvature-inducing proteins
- Correlated diffusion of membrane proteins and their effect on membrane viscosity
- Hybrid Elastic/Discrete-Particle Approach to Biomembrane Dynamics with Application to the Mobility of Curved Integral Membrane Proteins
- Diffusing proteins on a fluctuating membrane: Analytical theory and simulations
- A perturbative path integral study of active and passive tracer diffusion in fluctuating fields
- Diffusive motion of C60 on a graphene sheet
- Coarse-Grained Simulations of Membranes under Tension
- Dynamics of membranes with immobile inclusions
- Brownian motion meets Riemann curvature
- Curvature-coupling dependence of membrane protein diffusion coefficients
- Drag forces on inclusions in classical fields with dissipative dynamics
- Curvature Dependent Diffusion Flow on Surface with Thickness
- Diffusion of active tracers in fluctuating fields
- Cytoskeleton mediated effective elastic properties of model red blood cell membranes
- Intrinsic and extrinsic measure for Brownian motion
- Diffusion of a particle quadratically coupled to a thermally fluctuating field
- A Variational Approach to Particles in Lipid Membranes
- Tracer particle in a confined correlated medium: an adiabatic elimination method
- Instabilities and diffusion in a hydrodynamic model of a fluid membrane coupled to a thin active fluid layer
- Lattice models for protein organization throughout thylakoid membrane stacks
- Effective diffusion in the region between two surfaces
- Rotational mobility in spherical membranes: The interplay between Saffman-Delbrück length and inclusion size
- Particle motion nearby rough surfaces
- Solving Langevin equation with the bicolour rooted tree method