Dynamics of inextensible semiflexible filaments

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

Volumn 72, Issue 2, 2005, Pages

  Liverpool, Tanniemola B ^a,b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONNECTIVITY; GLOBAL ROTATION MODES;

BOUNDARY CONDITIONS; FUNCTIONS; PROBLEM SOLVING;

FILAMENTS (LAMP);

EID: 27244447692     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.021805     Document Type: Article

References (61)

1. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
2. M. Fixman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.436725 69, 1527 (1978).
3. P. Grassia and E. J. Hinch, J. Fluid Mech. JFLSA7 0022-1120 308, 255 (1996);
4. E. J. Hinch, J. Fluid Mech. JFLSA7 0022-1120 74, 317 (1976);
5. E. J. Hinch, J. Fluid Mech. JFLSA7 0022-1120 271, 219 (1994).
6. O. Kratky and G. Porod, Recl. Trav. Chim. Pays-Bas RTCPA3 0165-0513 68, 1106 (1949).
7. D. C. Morse, Macromolecules MAMOBX 0024-9297 10.1021/ma9803032 31, 7030 (1998);
8. D. C. Morse, Macromolecules MAMOBX 0024-9297 10.1021/ma980304u 31, 7044 (1998).
9. R. Granek, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1997214 7, 1761 (1997).
10. F. Gittes and F. MacKintosh, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.R1241 58, R1241 (1998).
11. E. Farge and A. C. Maggs, Macromolecules MAMOBX 0024-9297 10.1021/ma00071a009 26, 5041 (1993);
12. F. Amblard, A. C. Maggs, B. Yurke, A. N. Pargellis, and S. Leibler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4470 77, 4470-4473 (1996).
13. R. E. Goldstein and S. A. Langer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1094 75, 1094 (1995).
14. U. Seifert, W. Wintz, and P. Nelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5389 77, 5389 (1996).
15. P. Dimitrakopoulos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64. 050803 64, 050803 (R) (2001).
16. D. C. Morse, Adv. Chem. Phys. ADCPAA 0065-2385 128, 65 (2003).
17. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
18. R. Everaers F. Jülicher, A. Adjari, and A. C. Maggs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3717 82, 3717 (1999).
19. M. Pasquali, V. Shankar, and D. C. Morse, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.020802 64, 020802 (R) (2001);
20. V. Shankar, M. Pasquali, and D. C. Morse, J. Rheol. JORHD2 0148-6055 10.1122/1.1501927 46, 1111 (2002).
21. T. B. Liverpool and A. C. Maggs, Macromolecules MAMOBX 0024-9297 10.1021/ma001468p 34, 6064 (2001).
22. L. Le Goff, F. Amblard, and E. Furst, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.018101 88, 018101 (2001).
23. K. Takiguchi, J. Biochem. (Tokyo) JOBIAO 0021-924X 109, 520 (1991);
24. R. Urrutia, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 88, 6701 (1991).
25. D. Humphrey, C. Duggan, D. Saha, D. Smith, and J. Käs, Nature (London) NATUAS 0028-0836 10.1038/416413a 416, 413 (2002).
26. F. J. Nédélec, T. Surrey, A. C. Maggs, and S. Leibler, Nature (London) NATUAS 0028-0836 10.1038/38532 389, 305 (1997).
27. T. Surrey, F. J. Nédélec, S. Leibler, and E. Karsenti, Science SCIEAS 0036-8075 10.1126/science.1059758 292, 1167 (2001).
28. T. B. Liverpool, A. C. Maggs, and A. Ajdari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4171 86, 4171 (2001).
29. T. B. Liverpool, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.031909 67, 031909 (2003).
30. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer, New York, 2000).
31. G. H. Nyland, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.471941 105, 1198 (1996).
32. H. C. Attinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.2696 50, 2696 (1994).
33. M. Doi, J. Polym. Sci., Polym. Phys. Ed. JPLPAY 0098-1273 10.1002/pol.1981.180190205 19, 229 (1981);
34. N. Kuzuu and M. Doi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.52.3486 52, 3486 (1983);
35. M. Doi, Faraday Symp. Chem. Soc. FSYCA3 0301-5696 10.1039/fs9831800049 18, 49 (1983).
36. D. Forster, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.32.1161 32, 1161 (1974);
37. G. Marrucci, Mol. Cryst. Liq. Cryst. Lett. MCLCA5 0026-8941 72, 153 (1982);
38. A. Semenov, Sov. Phys. JETP SPHJAR 0038-5646 58, 321 (1983);
39. F. Affouard, M. Kroger, and S. Hess, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.5178 54, 5178 (1996).
40. S. D. Lee and R. B. Meyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2217 61, 2217 (1988);
41. S. D. Lee and R. B. Meyer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.450228 84, 3443 (1986).
42. R. Mazo, Brownian Motion (Oxford University Press, New York, 2000).
43. H. Maeda and N. Saito, J. Phys. Soc. Jpn. JUPSAU 0031-9015 27, 984 (1969).
44. S. Broersma, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1730994 32, 1626 (1960).
45. L. G. Leal and E. J. Hinch, J. Fluid Mech. JFLSA7 0022-1120 46 685 (1971).
46. J. M. Rallison and L. G. Leal, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.441761 74, 4819 (1981).
47. J. B. Hubbard and P. G. Wolynes, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.436652 69, 998 (1978).
48. D. Schaefer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1676675 55, 3884 (1971).
49. J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier, Amsterdam, 1996).
50. C. W. Gardiner, Handbook of Stochastic Methods: For Physics, Chemistry and the Natural Sciences (Springer-Verlag, New York, 1996).
51. B. A. Dubrovin, A. T. Fomenko, and S. P. Novikov, Modern Geometry-Methods and Applications (Springer-Verlag, New York, 1991).
52. K. K. Müller-Nedebock, H. L. Frisch, and J. K. Percus, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.011801 67, 011801 (2003).
53. T. B. Liverpool (unpublished).
54. Ch. Wiggins, Biophys. J. BIOJAU 0006-3495 74, 1043 (1998).
55. S. Camalet and F. Jülicher, New J. Phys. NJOPFM 1367-2630 2, 24.1 (2000).
56. Theoretical Challenges in the Dynamics of Complex Fluids, edited by, Tom McLeish, (Kluwer, London, 1997).
57. O. G. Harlen, R. R. Sundararajakumar, and D. L. Koch, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112099004929 388, 355 (1999).
58. B. Fuchssteiner, Physica D PDNPDT 0167-2789 13, 387 (1984).
59. L. Le Goff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 258101 89, 258101 (2002).
60. K. Kroy and E. Frey, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55. 3092 55, 3092 (1997).
61. S. R. Aragorn and S. R. Pecora, Macromolecules MAMOBX 0024-9297 18, 1868 (1985).