Tightness of random knotting

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 5, 2000, Pages 5545-5549

  Katritch, Vsevolod ^a   Olson, Wilma K ^a   Vologodskii, Alexander ^a   Dubochet, Jacques ^a   Stasiak, Andrzej ^a  

^a UNIVERSITY OF LAUSANNE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

POLYMER;

CHEMICAL STRUCTURE; CHEMISTRY; CONFORMATION; RANDOMIZATION;

MODELS, MOLECULAR; MOLECULAR CONFORMATION; POLYMERS; RANDOM ALLOCATION;

CHAINS;

KNOTTED POLYMERS; LINEAR PORTIONS; POLYMER CHAINS; PREFERRED SIZE; RANDOM KNOTTING; THERMODYNAMIC EQUILIBRIA;

POLYMERS;

EID: 0034183593     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5545     Document Type: Article

References (34)

1. J. H. White and N. R. Cozzarelli, Proc. Natl. Acad. Sci. USA 81, 3322 (1984).
2. D. W. Sumners, Mathematical Intelligencer 12, 71 (1990).
3. A. V. Vologodskii , Zh. Eksp. Teor. Fiz. 66, 2153 (1974) [Sov. Phys. JETP 39, 1059 (1974)].
4. V. V. Rybenkov, N. R. Cozzarelli, and A. V. Vologodskii, Proc. Natl. Acad. Sci. USA 90, 5307 (1993).
5. T. Deguchi and K. Tsurusaki, J. Knot Theory and Its Ramifications 3, 321 (1994).
6. M. C. Tesi , Phys. Rev. E 49, 868 (1993).
7. K. Koniaris and M. Muthukumar, Phys. Rev. Lett. 66, 2211 (1991).
8. S. Y. Shaw and J. C. Wang, Science 260, 533 (1993).
9. E. J. Janse van Rensburg and S. G. Whittington, J. Phys. A 24, 3935 (1991).
10. E. Orlandini, M. C. Tesi, E. J. Janse van Rensburg, and S. G. Whittington, J. Phys. A 31, 5953 (1998).
11. A. Y. Grosberg, A. Feigel, and Y. Rabin, Phys. Rev. E 54, 6618 (1996).
12. S. R. Quake, Phys. Rev. E 52, 1176 (1995).
13. K. V. Klenin , J. Biomol. Struct. Dyn. 5, 1173 (1988).
14. A. V. Vologodskii and M. D. Frank-Kamenetskii, Modeling DNA Supercoiling, in Methods in Enzymology, edited by D. M. J. Lilley and J. Dahlberg (Academic Press, San Diego, 1992), p. 467.
15. J. W. Alexander, Trans. Am. Math. Soc. 30, 275 (1928).
16. D. Rolfsen, Knots and Links (Publish or Perish, Berkeley, CA, 1976).
17. C. C. Adams, The Knot Book (Freeman, New York, 1994).
18. S. D. Levene and D. M. Crothers, J. Mol. Biol. 189, 73 (1986).
19. A. V. Vologodskii, Topology and Physics of Circular DNA, Physical Approaches to DNA (CRC, Boca Raton, FL, 1992).
20. H. L. Frisch and E. Wasserman, J. Am. Chem. Soc. 83, 3789 (1961).
21. M. Delbrück, Knotting Problems in Biology, in Mathematical Problems in the Biological Sciences, edited by R. E. Bellman (American Mathematical Society, Providence, RI, 1962), p. 55.
22. D. W. Sumners and S. G. Whittington, J. Phys. A 21, 1689 (1988).
23. Y. Diao, N. Pippenger, and D. W. Sumners, J. Knot Theory Ramifications 3, 419 (1994).
24. V. Katritch , Nature (London) 384, 142 (1996).
25. V. Katritch , Nature (London) 388, 148 (1997).
26. E. J. Janse van Rensburg, D. W. Sumners, E. Wasserman, and S. G. Whittington, J. Phys. A 25, 6557 (1992).
27. Y.-J. Sheng, P.-Y. Lai, and H.-K. Tsao, Phys. Rev. E 58, R1122 (1998).
28. H. Yamakawa and W. H. Stockmayer, J. Chem. Phys. 57, 2843 (1972).
29. D. Shore and R. L. Baldwin, J. Mol. Biol. 170, 957 (1983).
30. J. W. Milnor, Ann. Math. 52, 248 (1950).
31. R. Matthews, Math. Today 33, 82 (1997).
32. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, NY, 1953).
33. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
34. E. Guiter and E. Orlandini, J. Phys. A 32, 1359 (1999).