Diffusion in curved fluid membranes
Abstract
We analyze theoretically the effects of curvature on the diffusion in a fluid membrane, within the Saffman-Delbrück hydrodynamic model. We calculate the effect of curvature on the intrinsic fluidity of a membrane through changes in its thickness, for both static or fluctuating curvature. We treat both thermal curvature fluctuations, and fluctuations due to active processes. Such curvature fluctuations increase the average membrane thickness and diminish the projected area, thereby decreasing the diffusion coefficient. This calculation allows us to predict the effect of shear flow on the membrane diffusion, and to compare to observations on living cells.
- Publication:
-
Physical Review E
- Pub Date:
- April 2006
- DOI:
- 10.1103/PhysRevE.73.041918
- Bibcode:
- 2006PhRvE..73d1918G
- Keywords:
-
- 87.16.Dg;
- 87.15.Vv;
- 05.40.-a;
- 61.30.St;
- Membranes bilayers and vesicles;
- Diffusion;
- Fluctuation phenomena random processes noise and Brownian motion;
- Lyotropic phases