Braided bundles and compact coils: The structure and thermodynamics of hexagonally packed chiral filament assemblies

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

Volumn 79, Issue 4, 2009, Pages

  Grason, Gregory M ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BACTERIAL FLAGELLUM; BIOLOGICAL MOLECULE; CENTRAL AXIS; FILAMENT ASSEMBLY; FINITE WIDTH; LARGE CLASS; LATERAL DIMENSION; LAYERED MATERIAL; MOLECULAR CHIRALITY; MOLECULAR SCALE; SELF-LIMITED; THERMODYNAMICALLY STABLE; TWO-DIMENSIONAL ASSEMBLIES;

CHIRALITY; ENANTIOMERS; MOLECULES; NUCLEIC ACIDS; STEREOCHEMISTRY; THERMODYNAMIC STABILITY; THERMODYNAMICS;

FILAMENTS (LAMP);

EID: 67650488647     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.041919     Document Type: Article

References (54)

1. A. B. Harris, R. D. Kamien, and T. C. Lubensky, Rev. Mod. Phys. 71, 1745 (1999). 10.1103/RevModPhys.71.1745
2. F. H. C. Crick, Nature (London) 170, 882 (1952). 10.1038/170882b0
3. D. C. Wright and N. D. Mermin, Rev. Mod. Phys. 61, 385 (1989). 10.1103/RevModPhys.61.385
4. P.-G. de Gennes, Solid State Commun. 10, 753 (1972). 10.1016/0038- 1098(72)90186-X
5. S. R. Renn and T. C. Lubensky, Phys. Rev. A 38, 2132 (1988). 10.1103/PhysRevA.38.2132
6. F. Livolant and A. Leforestier, Prog. Polym. Sci. 21, 1115 (1996). 10.1016/S0079-6700(96)00016-0
7. R. D. Kamien and D. R. Nelson, Phys. Rev. Lett. 74, 2499 (1995). 10.1103/PhysRevLett.74.2499
8. R. D. Kamien and D. R. Nelson, Phys. Rev. E 53, 650 (1996). 10.1103/PhysRevE.53.650
9. W. Helfrich and J. Prost, Phys. Rev. A 38, 3065 (1988). 10.1103/PhysRevA.38.3065
10. J. V. Selinger, M. S. Spector, and J. M. Schnur, J. Phys. Chem. B 105, 7157 (2001). 10.1021/jp010452d
11. R. Ghafouri and R. Bruinsma, Phys. Rev. Lett. 94, 138101 (2005). 10.1103/PhysRevLett.94.138101
12. G. M. Grason and R. F. Bruinsma, Phys. Rev. Lett. 99, 098101 (2007). 10.1103/PhysRevLett.99.098101
13. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Claredon, Oxford, 1993).
14. J. W. Weisel, C. Nagaswami, and L. Makowski, Proc. Natl. Acad. Sci. U.S.A. 84, 8991 (1987). 10.1073/pnas.84.24.8991
15. M. Kléman, J. Phys. 46, 1193 (1985).
16. K. Namba and R. Vonderviszt, Q. Rev. Biophys. 30, 1 (1997). 10.1017/S0033583596003319
17. N. C. Darnton and H. Berg, Biophys. J. 92, 2230 (2007). 10.1529/biophysj.106.094037
18. Z. Dogic and S. Fraden, Curr. Opin. Colloid Interface Sci. 11, 47 (2006). 10.1016/j.cocis.2005.10.004
19. S. Tomar, M. M. Green, and L. A. Day, J. Am. Chem. Soc. 129, 3367 (2007). 10.1021/ja068498d
20. E. Barry, Z. Hensel, Z. Dogic, M. Shribak, and R. Oldenbourg, Phys. Rev. Lett. 96, 018305 (2006). 10.1103/PhysRevLett.96.018305
21. E. L. Starostin, J. Phys.: Condens. Matter 18, S187 (2006). 10.1088/0953-8984/18/14/S04
22. J. V. Selinger and R. F. Bruinsma, Phys. Rev. A 43, 2910 (1991). 10.1103/PhysRevA.43.2910
23. G. M. Grason, Phys. Rev. Lett. 101, 105702 (2008). 10.1103/PhysRevLett. 101.105702
24. E. Grelet, Phys. Rev. Lett. 100, 168301 (2008). 10.1103/PhysRevLett.100. 168301
25. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd ed. (Pergamon, Oxford, 1986), Chap..
26. F. B. Fuller, Proc. Natl. Acad. Sci. U.S.A. 75, 3557 (1978). 10.1073/pnas.75.8.3557
27. The numerical coefficient multiplying the in-plane response to twist in Ref. was incorrectly reported as 2/27.
28. R. D. Kamien, J. Phys. II 6, 461 (1996). 10.1051/jp2:1996192
29. H. Y. Liang and M. Upmanyu, Carbon 43, 3189 (2005). 10.1016/j.carbon. 2005.05.040
30. J. Israelachvili, Intermolecular and Surface Forces (Academic Press, London, 2006), Chap..
31. When dispersed bundles dominate the filament distribution, this procedure is equivalent to minimizing the intensive aggregation energy per filament. See, for example, J. Groenewold and W. K. Kegel, J. Phys. Chem. B 105, 11702 (2001). 10.1021/jp011646w
32. G. H. Lai, R. Coridan, O. V. Zribi, R. Golestanian, and G. C. L. Wong, Phys. Rev. Lett. 98, 187802 (2007). 10.1103/PhysRevLett.98.187802
33. R. D. Kamien, Rev. Mod. Phys. 74, 953 (2002). 10.1103/RevModPhys.74.953
34. M.-F. Achard, M. Kléman, Y. A. Nastishin, and H.-T. Nguyen, Eur. Phys. J. E 16, 37 (2005). 10.1140/epje/e2005-00005-2
35. B. A. DiDonna and R. D. Kamien, Phys. Rev. E 68, 041703 (2003). 10.1103/PhysRevE.68.041703
36. When integrating over the circular cross section of the isometric bundle, care must be taken with volume element as the arclength element ds of individual filaments is not constant. It is most convenient to choose a coordinate system where r N =rcos so that dV=ddrrdS (1-Krcos).
37. B. Alberts, D. Bray, J. Lewis, M. Raff, and K. Roberts, Molecular Biology of the Cell, 4th ed. (Garland Science, New York, 2002).
38. S. M. Rafelski and J. A. Theriot, Annu. Rev. Biochem. 73, 209 (2004). 10.1146/annurev.biochem.73.011303.073844
39. J. X. Tang, S. Wong, P. T. Tran, and P. A. Janmey, Ber. Bunsenges. Phys. Chem. 100, 796 (1996).
40. O. Pelletier, E. Pokidysheva, L. S. Hirst, N. Bouxsein, Y. Lin, and C. R. Safinya, Phys. Rev. Lett. 91, 148102 (2003). 10.1103/PhysRevLett.91.148102
41. M. Hosek and J. X. Tang, Phys. Rev. E 69, 051907 (2004). 10.1103/PhysRevE.69.051907
42. A. Cebers, Z. Dogic, and P. A. Janmey, Phys. Rev. Lett. 96, 247801 (2006). 10.1103/PhysRevLett.96.247801
43. K. R. Purdy, J. R. Bartles, and G. C. L. Wong, Phys. Rev. Lett. 98, 058105 (2007). 10.1103/PhysRevLett.98.058105
44. M. M. A. E. Claessens, C. Semmrich, L. Ramos, and A. R. Bausch, Proc. Natl. Acad. Sci. U.S.A. 105, 8819 (2008). 10.1073/pnas.0711149105
45. B.-Y. Ha and A. J. Liu, Europhys. Lett. 46, 624 (1999). 10.1209/epl/i1999-00311-6
46. M. L. Henle and P. A. Pincus, Phys. Rev. E 71, 060801 (R) (2005). 10.1103/PhysRevE.71.060801
47. N. S. Gov, Phys. Rev. E 78, 011916 (2008). 10.1103/PhysRevE.78.011916
48. S. Y. Park, D. Harries, and W. M. Gelbart, Biophys. J. 75, 714 (1998). 10.1016/S0006-3495(98)77561-7
49. I. M. Kulić, D. Andienko, and M. Deserno, Europhys. Lett. 67, 418 (2004). 10.1209/epl/i2004-10076-x
50. A. A. Kornyshev and S. Leikin, Phys. Rev. Lett. 84, 2537 (2000). 10.1103/PhysRevLett.84.2537
51. A. A. Kornyshev, D. J. Lee, S. Leikin, and A. Wynveen, Rev. Mod. Phys. 79, 943 (2007). 10.1103/RevModPhys.79.943
52. T. Ikawa, F. Hoshino, O. Watanabe, Y. Li, P. Pincus, and C. R. Safinya, Phys. Rev. Lett. 98, 018101 (2007). 10.1103/PhysRevLett.98.018101
53. F. B. Fuller, Proc. Natl. Acad. Sci. U.S.A. 68, 815 (1971). 10.1073/pnas.68.4.815
54. J. H. White, Am. J. Math. 91, 693 (1969). 10.2307/2373348