A geometric theory on the elasticity of bio-membranes

Journal of Physics A: Mathematical and General

Volumn 37, Issue 47, 2004, Pages 11407-11429

  Tu, Z C ^a,b,d   Ou Yang, Z C ^a,c  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^c TSINGHUA UNIVERSITY   (China)

^d NATIONAL INSTITUTE FOR MATERIALS SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10244222314     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/47/010     Document Type: Review

References (37)

1. Edidin M 2003 Nature Rev. Mol. Cell Biol. 4 414
2. Singer S J and Nicolson G L 1972 Science 175 720
3. Helfrich W 1973 Z. Naturforsch. C 28 693
4. Duwe H P, Kaes J and Sackmann E 1990 J. Phys. Fr. 51 945
5. Mutz M and Helfrich W 1990 J. Phys. Fr. 51 991
6. Ou-Yang Z C. Liu J X and Xie Y Z 1999 Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases (Singapore: World Scientific)
7. Lipowsky R 1991 Nature 349 475 Seifert U 1997 Adv. Phys. 46 13
8. Lipowsky R 1991 Nature 349 475 Seifert U 1997 Adv. Phys. 46 13
9. Ou-Yang Z C and Helfrich W 1987 Phys. Rev. Lett. 59 2486 Ou-Yang Z C and Helfrich W 1989 Phys. Rev. A 39 5280
10. Ou-Yang Z C and Helfrich W 1987 Phys. Rev. Lett. 59 2486 Ou-Yang Z C and Helfrich W 1989 Phys. Rev. A 39 5280
11. Saitoh A, Takiguchi K, Tanaka Y and Hotani H 1998 P roc. Natl Acad. Sci. 95 1026
12. Nomura F, Nagata M, Inaba T, Hiramatsu H, Hotani H and Takiguchi K 2001 Proc. Natl Acad. Sci. 98 2340
13. Capovilla R, Guven J and Santiago J A 2002 Phys. Rev. E 66 021607
14. Capovilla R and Guven J 2002 J. Phys. A: Math. Gen. 35 6233
15. Tu Z C and Ou-Yang Z C 2003 Phys. Rev. E 68 061915 An R and Tu Z C 2003 Preprint math-phys/0307007
16. Chiras D 2002 Human Biology: Health, Homeostasis, and the Environment 4th edn (Boston. MA: Jones & Bartlett)
17. Griffiths P 1983 Exterior Differential Systems and the Calculus of Variations (Boston, MA: Birkhäuser)
18. Bryant R, Chern S S, Gardner R, Goldschmidt H and Griffiths P 1991 Exterior Differential Systems (New York: Springer)
19. Kamien R D 2002 Rev. Mod. Phys. 74 953
20. Chern S S and Chen W H 2001 Lectures on Differential Geometry 2nd edn (Beijing: Peking University Press)
21. Westenholz C V 1981 Differential Forms in Mathematical Physics (Amsterdam: North-Holland)
22. Natio H, Okuda M and Ou-Yang Z C 1995 Phys. Rev. E 52 2095
23. Capovilla R and Guven J 2004 J. Phys. A: Math. Gen. 37 5983
24. Landolfi G 2003 J. Phys. A: Math. Gen. 36 11937
25. Alexandrov A D 1962 Am. Math. Soc. Transl. 21 341
26. Naito H, Okuda M and Ou-Yang Z C 1993 Phys. Rev. E 48 2304
27. Ou-Yang Z C 1990 Phys. Rev. A 41 4517
28. Wang Z X and Guo D R 2000 Introduction to Special Function (Beijing: Peking University Press)
29. Jülicher F and Lipowsky R 1996 Phys. Rev. E 53 2670
30. Baumgart T, Hess S T and Webb W W 2003 Nature 425 821
31. Treloar L R G 1975 The Physics of Rubber Elasticity (Oxford: Clarendon)
32. Dio M and Edwards S F 1986 The Theory of Protein Chain Dynamics (Oxford: Clarendon)
33. Wu J K and Wang M Z 1981 Introduction to Elastic Theory (Beijing: Peking University Press) Wu J K and Su X Y 1994 Stabilities of Elastic Systems (Beijing: Science)
34. Wu J K and Wang M Z 1981 Introduction to Elastic Theory (Beijing: Peking University Press) Wu J K and Su X Y 1994 Stabilities of Elastic Systems (Beijing: Science)
35. Landau L D and Lifshitz E M 1997 Theory of Elasticity 3rd edn (Oxford: Butterworth-Heinemann)
36. Pogorelov A V 1989 Bendings of Surfaces and Stability of Shells (Providence, RI: American Mathematical Society)
37. Lenormand G, Hénon S, Richert A, Siméon J and Gallet F 2001 Biophys. J. 81 43