Nonequilibrium size distributions of fluid membrane vesicles

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 3, 1997, Pages 3219-3230

  Golubović, Leonardo ^a   Golubović, Mirjana ^a  

^a WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243524934     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.3219     Document Type: Article

References (22)

1. Statistical Mechanics of Membranes and Surfaces, edited by D. R. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
2. S. A. Safran, D. Roux, M. E. Cates, and D. Andelman, Phys. Rev. Lett. 57, 491 (1986).PRLTAO
3. L. Golubović and T. Lubensky, Phys. Rev. B 39, 12 110 (1989).PRBMDO
4. L. Golubović and T. Lubensky, Phys. Rev. A 41, 4343 (1990).PLRAAN
5. D. A. Huse and S. Leibler, J. Phys. (France) 49, 605 (1988).JOPQAG
6. D. Morse and S. Milner, Europhys. Lett. 26, 565 (1994); EULEEJ
7. 12(Formula presented) (Formula presented) is comparable to the upper size limit of membrane flakes; PLEEE8
8. see M. Winterhalter and D. Lasić, Chem. Phys. Lipids 64, 35 (1993).CPLIA4
9. L. Golubović, Phys. Rev. E 50, R2419 (1994).PLEEE8
10. D. Morse, Phys. Rev. E 50, R2423 (1994).PLEEE8
11. Liposomes in Biological Systems, edited by G. Gregoriades and A. C. Allison (John Wiley, Chichester, 1980).
12. Liposome: From Physical Structure to Therapeutic Applications, edited by C. K. Knight (Elsevier, Amsterdam, 1991).
13. For methods to measure vesicle size distributions, see N. Ostrowsky, Chem. Phys. Lipids 64, 45 (1993).CPLIA4
14. Liposome Technology, edited by G. Gregoriades (CRC Press, Boca Raton, 1984).
15. P. Hervè, D. Roux, A.-M. Bellocq, F. Nallet, and T. Gulik-Krzywicki, J. Phys. II 3, 1255 (1993).JPAHER
16. B. D. Simons and M. E. Cates, J. Phys. II 2, 1439 (1992).JPAHER
17. L. V. Chernomordik and J. Zimmerberg, Current Opinion Struct. Biol. 5, 541 (1995).
18. For passages between vesicles the situation is similar but somewhat different in detail. Consider, for example, a passage connecting two nearby spherical vesicles having equal radius (Formula presented) Such a membrane configuration can be obtained by removing two polar caps from the spheres and replacing them by catenoid connecting vesicles. (If the original spherical vesicles are sufficiently close, it is geometrically possible to smoothly connect them by a catenoid.) Passage energy (Formula presented) can be then estimated from the standard Helfrich-Evans elastic model (1.1) yielding (Formula presented) Here the first term is the Gaussian curvature contribution evaluated by using Gauss-Bonnet theorem [
19. Thus, for passages emerging from vesicle fusions, (Formula presented) for (Formula presented)ZENAAU
20. M. D. Mitov, C. R. Acad. Bulg. Sci. 31, 513 (1978);
21. R. de Vries, J. Chem. Phys. 103, 6740 (1995).JCPSA6
22. Roughly, (Formula presented) where (Formula presented) is the bilayer aggregation energy (binding energy) per surfactant molecule and (Formula presented) is the curvature energy of minimum size vesicle. Generally, (Formula presented) is (at least) a few times larger than (Formula presented) Thus, generally, (Formula presented)