Minimum-energy vesicle and cell shapes calculated using spherical harmonics parameterization

Soft Matter

Volumn 7, Issue 5, 2011, Pages 2138-2143

  Khairy, Khaled ^a   Howard, Jonathon ^b  

^a Janelia Farm Research Campus ^*  (United States)

^b MAX PLANCK INSTITUTE OF MOLECULAR CELL BIOLOGY AND GENETICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

AXIAL SYMMETRY; BENDING ENERGIES; BI-LAYER; CELL SHAPES; COMPUTATIONAL APPROACH; CYTOSKELETAL PROTEINS; GENERAL SOLUTIONS; MECHANICAL CONSTRAINTS; MECHANICAL FORCE; MEMBRANE SURFACE; MINIMUM ENERGY; NON-LINEAR MODEL; RED BLOOD CELL; SHAPE DESCRIPTION; SPHERICAL HARMONICS;

HARMONIC ANALYSIS; PROTEINS;

BLOOD;

EID: 79951905316     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c0sm01193b     Document Type: Article

References (39)

1. R. Lipowsky Nature 1991 349 475 481
2. U. Seifert Adv. Phys. 1997 46 13 137
3. P. B. Canham J. Theor. Biol. 1970 26 61 81
4. W. Helfrich Z. Naturforsch., C: Biochem., Biophys., Biol., Virol. 1973 28 693 703
5. E. A. Evans Biophys. J. 1974 14 923 931
6. M. P. Sheetz S. J. Singer Proc. Natl. Acad. Sci. U. S. A. 1974 71 4457 4461
7. S. Svetina B. Zeks Eur. Biophys. J. 1989 17 101 111
8. R. Mukhopadhyay H. W. G. Lim M. Wortis Biophys. J. 2002 82 1756 1772
9. H. W. G. Lim M. Wortis R. Mukhopadhyay Proc. Natl. Acad. Sci. U. S. A. 2002 99 16766 16769
10. M. Bobrowska-Hagerstrand H. Hagerstrand A. Iglic Biochim. Biophys. Acta, Biomembr. 1998 1371 123 128
11. A. Iglic J. Biomech. 1997 30 35 40
12. D. Kuzman S. Svetina R. E. Waugh B. Zeks Eur. Biophys. J. 2004 33 1 15
13. H. J. Deuling W. Helfrich Biophys. J. 1976 16 861 868
14. U. Seifert K. Berndl R. Lipowsky Phys. Rev. A: At., Mol., Opt. Phys. 1991 44 1182 1202
15. P. Ziherl S. Svetina Proc. Natl. Acad. Sci. U. S. A. 2007 104 761 765
16. E. Evans W. Rawicz Phys. Rev. Lett. 1990 64 2094 2097
17. K. Khairy J. Foo J. Howard Cell. Mol. Bioeng. 2008 1 173 181
18. M. Bloor M. Wilson Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 2000 61 4218 4229
19. Z. Ou-Yang W. Helfrich Phys. Rev. A: At., Mol., Opt. Phys. 1989 39 5280 5288
20. P. Ziherl S. Svetina Europhys. Lett. 2005 70 690 696
21. M. Jaric U. Seifert W. Wintz M. Wortis Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1995 52 6623 6634
22. W. Wintz H. Doebereiner U. Seifert Europhys. Lett. 1996 33 403 408
23. V. Heinrich M. Brumen R. Heinrich S. Svetina J. Phys. II 1992 2 1081 1108
24. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics, Chelsea Pub. Co., New York, 1955
25. V. Heinrich S. Svetina B. Zeks Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1993 48 3112 3123
26. B. S. Duncan A. J. Olson Biopolymers 1993 33 219 229
27. C. Brechbühler G. Gerig O. Kuebler Comput. Vis. Image Understand. 1995 61 154 170
28. M. Styner J. A. Lieberman R. K. McClure D. R. Weinberger D. W. Jones G. Gerig Proc. Natl. Acad. Sci. U. S. A. 2005 102 4872 4877
29. L. Shen H. Farid M. A. McPeek Evolution 2009 63 1003 1016
30. K. Khairy J. Howard Med. Image Anal. 2008 12 217 227
31. W. Bosh Phys. Chem. Earth 2000 25 655 659
32. S. Svetina B. Zeks Biomed. Biochim. Acta 1983 42 S86 S90
33. L. Miao U. Seifert M. Wortis H. G. Doebereiner Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1994 49 5389 5407
34. G. H. W. Lim, PhD thesis, Simon Fraser University, 2003
35. E. A. Evans and R. Skalak, Mechanics and Thermodynamics of Biomembranes, CRC, Boca Raton, FL, 1980
36. P. Davis and P. Rabinowitz, Methods of Numerical Integration, Academic Press, New York, 1975
37. T. F. Coleman Y. Li SIAM J. Optim. 1996 6 418 445
38. R. A. Waltz J. L. Morales J. Nocedal D. Orban Math. Program. 2006 107 391 408
39. P. R. Zarda S. Chien R. Skalak J. Biomech. 1977 10 211 221