Polygonal shape transformation of a circular biconcave vesicle induced by osmotic pressure

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

Volumn 54, Issue 3, 1996, Pages 2816-2826

  Naito, Hiroyoshi ^a   Okuda, Masahiro ^a   Zhong can, Ou Yang ^b  

^a Osaka Prefecture University   (Japan)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000202557     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.2816     Document Type: Article

References (40)

1. For a review, see for example, Physics of Amphiphile Layers, edited by J. Meunier, D. Langevan, and N. Boccara (Springer, Berlin, 1987).
2. W. Helfrich and H J. Deuling, J. Phys. (Paris)36, C1-327 (1975).
3. W W. Webb, Q. Rev. Biophys.9, 49 (1976).
4. R J. Nossal and H. Lecar, Molecular and Cell Biophysics (Addison Wesley, Redwood, CA, 1991).
5. P. G. de Gennes and C. Taupin, J. Phys. Chem.86, 2294 (1982);
6. S A. Safran and L A. Turkevich, Phys. Rev. Lett.50, 1930 (1983);
7. B. Duplantier, Physica (Amsterdam)168A, 179 (1990).
8. E. Evans and W. Rawicz, Phys. Rev. Lett.64, 2094 (1990).
9. H. Hotani, J. Mol. Biol.178, 113 (1984).
10. T. Sekimura and H. Hotani, J. Theor. Biol.149, 325 (1992).
11. R B. Canham, J. Theor. Biol.26, 61 (1970).
12. E A. Evans and Y C. Fung, Microvasc. Res.4, 335 (1972).
13. W. Helfrich, Z. Naturforsch.28C, 693 (1973).
14. H J. Deuling and W. Helfrich, Biophys. J.16, 861 (1976).
15. T. Kawakatsu, D. Andelman, K. Kawasaki and T. Taniguchi, J. Phys. (France) II3, 971 (1993).
16. U. Seifert, Phys. Rev. Lett.66, 2404 (1991);
17. U. Seifert, K. Berndl and R. Lipowsky, Phys. Rev. A44, 1182 (1991);
18. J. Berndl, J. Kas, R. Lipowsky, E. Sackmann and U. Seifert, Europhys. Lett.13, 659 (1990).
19. Hu Jian-Guo and Ou-Yang Zhong-can, Phys. Rev. E 47, 461 (1993).
20. C. Tanford, Proc. Natl. Acad. Sci. USA76, 3318 (1979).
21. Ou-Yang Zhong-can and W. Helfrich, Phys. Rev. A39, 5280 (1989).
22. S. Svetina and B. Zeks, Biomed. Biochim. Acta42, 86 (1983).
23. Ou-Yang Zhong-can and W. Helfrich, Phys. Rev. Lett.59, 2486 (1987);
24. a more general shape equation corresponding to a generalized Helfrich energy integrand has been derived by J. C. C. Nitsche in Lectures on Minimal Surfaces (Cambridge, 1989), Vol. I, p. 24;
25. and in Q. Appl. Math. 51, 363 (1993).
26. H. Deuling and W. Helfrich, J. Phys. (Paris)37, 1335 (1976);
27. J. Jenkins, J. Math. Biophys.4, 149 (1977);
28. M. Peterson, J. Appl. Phys.57, 1739 (1985);
29. S. Svetina and B. Zecks, Eur. Biophys. J.17, 101 (1989);
30. L. Miao, B. Fourcade, M. Rao, M. Wortis, and R. K. P. Zia, Phys. Rev. A43, 6843 (1991);
31. B. Fourcade, L. Miao, M. Rao, M. Wortis, and R. K. P. Zia, Phys. Rev. E49, 5276 (1994);
32. L. Miao, U. Seifert, M. Wortis and H. G. Döbereiner, Phys. Rev. E49, 5389 (1994).
33. F. Brochard and J F. Lennon, J. Phys. (Paris)36, 1035 (1975).
34. P. G. de Gennes, Rev. Mod. Phys.64, 645 (1992).
35. H. Naito, M. Okuda and Ou-Yang Zhong-can, Phys. Rev. E48, 2304 (1993).
36. A. W. L. Jay, Biophys. J.15, 205 (1975).
37. Ou-Yang Zhong-can, Hu Jian-Guo, and Liu Ji-xing, Mod. Phys. Lett. B 6, 1577 (1992).
38. J J. Stoker, Differential Geometry (Wiley, New York, 1969).
39. S G. Schultz, Basic Principles of Membrane Transport (Cambridge University Press, London, 1980).
40. D. Schmidt, M. Schadt and W. Helfrich, Z. Naturforsch,27A, 277 (1972).