Theoretically predicted effects of Gaussian curvature on lateral diffusion of membrane molecules

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 4, 2007, Pages

  Yoshigaki, Tomoyoshi ^a  

^a HDA Biological Laboratory   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MEMBRANES; DIFFUSION; NONLINEAR EQUATIONS; SURFACE PROPERTIES;

DIFFUSION EQUATION; DIFFUSION RATE; GAUSSIAN CURVATURE; GEODESIC POLAR COORDINATE SYSTEMS; MEMBRANE GEOMETRIES;

MOLECULAR DYNAMICS;

EID: 34047101409     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.041901     Document Type: Article

References (21)

1. R. N. Ghosh and W. W. Web, Biophys. J. BIOJAU 0006-3495 66, 1301 (1994).
2. P. R. Smith, I. E. G. Morrison, K. M. Wilson, N. Fernández, and R. J. Cherry, Biophys. J. BIOJAU 0006-3495 76, 3331 (1999).
3. M. Weiss, H. Hashimoto, and T. Nilsson, Biophys. J. BIOJAU 0006-3495 84, 4043 (2003).
4. M. J. Saxton, Biophys. J. BIOJAU 0006-3495 81, 2226 (2001).
5. B. A. Smith, W. R. Clark, and H. M. McConnell, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 76, 5641 (1979).
6. J. B. de Monvel, W. E. Brownell, and M. Ulfendahl, Biophys. J. BIOJAU 0006-3495 91, 364 (2006).
7. B. M. Aizenbud and N. D. Gershon, Biophys. J. BIOJAU 0006-3495 38, 287 (1982).
8. B. M. Aizenbud and N. D. Gershon, Biophys. J. BIOJAU 0006-3495 48, 543 (1985).
9. R. Holyst, D. PlewczyÅ.,ski, A. Aksimentiev, and K. Burdzy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.302 60, 302 (1999).
10. I. F. Sbalzarini, A. Hayer, A. Helenius, and P. Koumoutsakos, Biophys. J. BIOJAU 0006-3495 90, 878 (2006).
11. T. Yoshigaki, Bull. Math. Biol. BMTBAP 0092-8240 64, 643 (2002).
12. T. Yoshigaki, J. Theor. Biol. JTBIAP 0022-5193 221, 229 (2003).
13. M. Christensen, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2004.06. 005 201, 421 (2004).
14. S. Kobayashi, Differential Geometry of Curves and Surfaces, 26th ed. (Shokabo, Tokyo, 1998).
15. A. Masuda, K. Ushida, and T. Okamoto, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.060101 72, 060101 (2005).
16. N. S. Gov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.041918 73, 041918 (2006).
17. Y. Gambin, G. Massiera, L. Ramos, C. Ligoure, and W. Urbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.110602 94, 110602 (2005).
18. E. Reister and U. Seifert, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10139-6 71, 859 (2005).
19. A. Kusumi, Y. Sako, and M. Yamamoto, Biophys. J. BIOJAU 0006-3495 65, 2021 (1993).
20. T. Fujiwara, K. Ritchie, H. Murakoshi, K. Jacobson, and A. Kusumi, J. Cell Biol. JCLBA3 0021-9525 10.1083/jcb.200202050 157, 1071 (2002).
21. F. L. H. Brown, Biophys. J. BIOJAU 0006-3495 84, 842 (2003).