Viscous nonlinear dynamics of twist and writhe

Physical Review Letters

Volumn 80, Issue 23, 1998, Pages 5232-5235

  Goldstein, Raymond E ^a,b   Powers, Thomas R ^a   Wiggins, Chris H ^c  

^a The University of Arizona   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001127171     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.80.5232     Document Type: Article

References (36)

1. D'Arcy W. Thompson, On Growth and Form (The University Press, Cambridge, 1942).
2. D. Riveline, C. H. Wiggins, R. E. Goldstein, and A. Ott, Phys. Rev. E 56, 1330 (1997)
3. C. H. Wiggins, D. Riveline, R. E. Goldstein, and A. Ott, Biophys. J. 74, 1043 (1998).
4. N. H. Mendelson, Proc. Natl. Acad. Sci. U.S.A. 73, 1740 (1976)
5. N. H. Mendelson, Microbiol. Rev. 46, 341 (1982).
6. M. J. Tilby, Nature (London) 266, 450 (1977).
7. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J. D. Watson, Molecular Biology of the Cell (Garland Publishing, Inc., New York, 1994), 3rd ed.
8. I. Klapper, J. Comput. Phys. 125, 325 (1996)
9. A. Goriely and M. Tabor, Phys. Rev. Lett. 77, 3537 (1996).
10. J. F. Marko and E. D. Siggia, Macromolecules 27, 981 (1994).
11. I. Klapper and M. Tabor, J. Phys. A 27, 4919 (1994).
12. R. D. Kamien, Eur. Phys. J. B 1, 1 (1998).
13. A. C. Maggs, cond-mat/9704054.
14. G. Kirchhoff, J. F. Math (Crelle) 50, 285 (1859).
15. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon Press, Oxford, 1986), 3rd ed.
16. G. Darboux, Leçons sur la Théorie Genérale des Surfaces (Gauthier-Villars, Paris, 1915), Vol. I, p. 22.
17. H. Hasimoto, J. Fluid Mech. 51, 477 (1972).
18. R. E. Goldstein and S. A. Langer, Phys. Rev. Lett. 75, 1094 (1995)
19. K. Nakayama, H. Segur, and M. Wadati, Phys. Rev. Lett. 69, 2603 (1992).
20. Joel Langer (private communication).
21. R. L. Bishop, Am. Math. Monthly 82, 246 (1975).
22. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Cambridge, London, 1965), 4th ed.
23. Y. Shi and J. E. Hearst, J. Chem. Phys. 101, 5186 (1994).
24. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
25. G. Căluguăreanu, Rev. Math. Pures Appl. 4, 5 (1959)
26. J. H. White, Am. J. Math. 91, 693 (1969)
27. F. B. Fuller, Proc. Nat. Acad. Sci. U.S.A. 68, 815 (1971).
28. F. B. Fuller, Proc. Nat. Acad. Sci. U.S.A. 75, 3557 (1978).
29. N. H. Mendelson, J. J. Thwaites, J. O. Kessler, and C. Li, J. Bacteriol. 177, 7060 (1995).
30. M. D. Barkley and B. H. Zimm, J. Chem. Phys. 70, 2991 (1979)
31. J. M. Schurr, Chem. Phys. 84, 71 (1984).
32. J. J. Thwaites and N. H. Mendelson, Int. J. Biol. Macromol. 11, 201 (1989).
33. T. Y. Hou, J. S. Lowengrub, and M. J. Shelley, J. Comp. Phys. 114, 312 (1994).
34. C. H. Wiggins, et al., (to be published).
35. L. F. Liu and J. C. Wang, Proc. Natl. Acad. Sci. U.S.A. 84, 7024 (1987)
36. C. Levinthal and H. R. Crane, Proc. Natl. Acad. Sci. U.S.A. 42, 436 (1956).