Elastic energy of polyhedral bilayer vesicles

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

Volumn 83, Issue 6, 2011, Pages

  Haselwandter, Christoph A ^a   Phillips, Rob ^a  

^a California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING ENERGIES; BI-LAYER; BILAYER VESICLES; ELASTIC BENDING ENERGY; ELASTIC ENERGY; EXPERIMENTAL OBSERVATION; MOLECULAR SEGREGATION; SPONTANEOUS CURVATURE; SPONTANEOUS FORMATION;

AMPHIPHILES; EXPERIMENTS;

GEOMETRY;

EID: 79961096072     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.061901     Document Type: Article

References (52)

1. S. A. Safran, Statistical Thermodynamics of Surfaces, Interfaces, and Membranes (Westview Press, Boulder, 2003).
2. D. Boal, Mechanics of the Cell (Cambridge University Press, Cambridge, 2002).
3. R. B. Phillips, J. Kondev, and J. Theriot, Physical Biology of the Cell (Garland Science, New York, 2009).
4. U. Seifert, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739700101488 46, 13 (1997).
5. G. Lim, H. W. M. Wortis, and R. Mukhopadhyay, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.202617299 99, 16766 (2002). (Pubitemid 36034047)
6. M. Dubois, B. Demé, T. Gulik-Krzywicki, J.-C. Dedieu, C. Vautrin, S. Désert, E. Perez, and T. Zemb, Nature (London) NATUAS 0028-0836 10.1038/35079541 411, 672 (2001). (Pubitemid 32531666)
7. M. Dubois, V. Lizunov, A. Meister, T. Gulik-Krzywicki, J. M. Verbavatz, E. Perez, J. Zimmerberg, and T. Zemb, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0400837101 101, 15082 (2004). (Pubitemid 39391722)
8. K. Glinel, M. Dubois, J.-M. Verbavatz, G. B. Sukhorukov, and T. Zemb, Langmuir LANGD5 0743-7463 10.1021/la049328m 20, 8546 (2004).
9. A. Meister, M. Dubois, L. Belloni, and T. Zemb, Langmuir LANGD5 0743-7463 10.1021/la0346806 19, 7259 (2003).
10. C. Vautrin, T. Zemb, M. Schneider, and M. Tanaka, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp037787a 108, 7986 (2004).
11. C. A. Haselwandter and R. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.228101 105, 228101 (2010).
12. M. J. W. Dodgson, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/10/028 29, 2499 (1996). (Pubitemid 126069675)
13. R. F. Bruinsma, W. M. Gelbart, D. Reguera, J. Rudnick, and R. Zandi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.248101 90, 248101 (2003).
14. R. Zandi, D. Reguera, R. F. Bruinsma, W. M. Gelbart, and J. Rudnick, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0405844101 101, 15556 (2004). (Pubitemid 39473526)
15. G. Vernizzi and M. Olvera de la Cruz, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0703431104 104, 18382 (2007). (Pubitemid 350210705)
16. A. Levandovsky and R. Zandi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.198102 102, 198102 (2009).
17. P. B. Canham, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(70) 80032-7 26, 61 (1970).
18. W. Helfrich, Z. Naturforsch. C 28, 693 (1973).
19. E. Evans, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(74)85959-X 14, 923 (1980).
20. H. S. Seung and D. R. Nelson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.1005 38, 1005 (1988).
21. J. Lidmar, L. Mirny, and D. R. Nelson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.051910 68, 051910 (2003).
22. T. T. Nguyen, R. F. Bruinsma, and W. M. Gelbart, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.051923 72, 051923 (2005). (Pubitemid 41777732)
23. A. E. Lobkovsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.3750 53, 3750 (1996).
24. A. E. Lobkovsky and T. A. Witten, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.55.1577 55, 1577 (1997).
25. B. A. DiDonna, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.016601 66, 016601 (2002). (Pubitemid 40599103)
26. H. S. M. Coxeter, Introduction to Geometry, 2nd ed. (Wiley & Sons, New York, 1980).
27. P. R. Cromwell, Polyhedra (Cambridge University Press, Cambridge, 1997).
28. E. R. Weisstein [http://mathworld.wolfram.com] (2009).
29. T. Zemb, M. Dubois, B. Demé, and T. Gulik-Krzywicki, Science SCIEAS 0036-8075 10.1126/science.283.5403.816 283, 816 (1999). (Pubitemid 29072314)
30. M. A. Hartmann, R. Weinkamer, T. Zemb, F. D. Fischer, and P. Fratzl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.018106 97, 018106 (2006). (Pubitemid 44024527)
31. M. Winterhalter and W. Helfrich, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100335a004 92, 6865 (1988).
32. P. Pincus, J.-F. Joanny, and D. Andelman, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/11/8/012 11, 763 (1990).
33. M. Winterhalter and W. Helfrich, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100180a060 96, 327 (1992).
34. G. Brotons, M. Dubois, L. Belloni, I. Grillo, T. Narayanan, and T. Zemb, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1950667 123, 024704 (2005). (Pubitemid 41107726)
35. T. Kawakatsu, Statistical Physics of Polymers: An Introduction (Springer-Verlag, Berlin, 2004).
36. Y. A. Chizmadzhev, F. S. Cohen, A. Shcherbakov, and J. Zimmerberg, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(95)80119-0 69, 2485 (1995).
37. M. B. Jackson, J. Membr. Biol. JMBBBO 0022-2631 10.1007/s00232-009-9209-x 231, 101 (2009).
38. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 2nd English ed. (Pergamon Press, New York, 1970).
39. M. J. Bowick, D. R. Nelson, and A. Travesset, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.62.8738 62, 8738 (2000). (Pubitemid 32367337)
40. M. J. Bowick, A. Cacciuto, D. R. Nelson, and A. Travesset, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.73.024115 73, 024115 (2006). (Pubitemid 43270478)
41. J. Wohlert, W. K. den Otter, O. Edholm, and W. J. Briels, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2171965 124, 154905 (2006).
42. M. Berman, J. Franklin Inst. JFINAB 0016-0032 10.1016/0016-0032(71)90071- 8 291, 329 (1971).
43. N. W. Johnson, Can. J. Math. CJMAAB 0008-414X 10.4153/CJM-1966-021-8 18, 169 (1966);
44. V. A. Zalgaller, Sem. in Math. Vol. 2, Steklov Math. Institute, Leningrad (1967) (Consultants Bureau, New York, 1969), (English translation).
45. mathematica 7.0, Wolfram Research, Inc., Urbana-Champaign, IL.
46. M. D. Betterton and M. P. Brenner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1598 82, 1598 (1999).
47. E. C. Mbamala, A. Fahr, and S. May, Langmuir LANGD5 0743-7463 10.1021/la060180b 22, 5129 (2006). (Pubitemid 44012081)
48. D. H. Mengistu and S. May, Eur. Phys. J. E 1292-8941 10.1140/epje/i2007- 10319-8 26, 251 (2008).
49. H. Noguchi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.041901 67, 041901 (2003).
50. J. F. Nagle and S. Tristram-Nagle, Biochim. Biophys. Acta 1469, 159 (2000).
51. D. M. Small, The Physical Chemistry of Lipids (Plenum Press, New York, 1986).
52. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed. (Academic Press, 1980).