Local rotations, topological invariant for thin rods, and supercoiling of DNA

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 240, Issue 3, 1998, Pages 171-176

  Chechetkin, V R ^a  

^a TROITSK INSTITUTE FOR INNOVATION AND FUSION RESEARCH   (Russian Federation)

Author keywords

Conformations of DNA; Degree of a map; Homology group; Thin rods

Indexed keywords

TOPOLOGY;

HOMOLOGY GROUP; LOCAL DEFORMATIONS; ROTATION MATRICES; SUPERCOILED DNA; SUPERCOILING; THIN RODS; TOPOLOGICAL INVARIANTS;

DNA;

EID: 0242596003     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00105-4     Document Type: Article

References (29)

1. L.D. Landau, E.M. Lifshitz, Theory of Elasticity (Pergamon, Oxford, 1986).
2. S.P. Timoshenko, J.M. Gere, Theory of Elasticic Stability (McGraw-Hill, New York, 1961).
3. M.D. Barkley, B.H. Zimm, J. Chem. Phys. 70 (1979) 2991.
4. C.J. Benham, Phys. Rev. A 39 (1989) 2582.
5. J.F. Marko, E.D. Siggia, Macromolecules 27 (1994) 981.
6. V.L. Golo, E.I. Katz, Zh. Eksp. Teor. Fiz. 108 (1995) 1860; 111 (1997) 1833.
7. V.L. Golo, E.I. Katz, Zh. Eksp. Teor. Fiz. 108 (1995) 1860; 111 (1997) 1833.
8. T.P. Westcott, I. Tobias, W.K. Olson, J. Phys. Chem. 99 (1995) 17926.
9. K.V. Klenin, M.D. Frank-Kamenetskii, J. Langowski, Biophys. J. 68 (1995) 81.
10. A. Goriely, M. Tabor, Physica D 105 (1997) 20, 45.
11. M.I. Monastyrskii, Topology of Gauge Fields and Condensed Matter (PAIMS, Moscow, 1995) (in Russian).
12. G. Calugareanu, Czechosl. Math. J. 11 (1961) 588.
13. J.H. White, Amer. J. Math. 91 (1969) 693.
14. F.B. Fuller, Proc. Natl. Acad. Sci. USA 68 (1971) 815.
15. D.W. Sumners, J. Math. Chem. 1 (1987) 1.
16. T. Schlick, W.K. Olson, Science 257 (1992) 1110.
17. M.D. Frank-Kamenetskii, J. Mol. Struct. (Theochem.) 336 (1995) 235.
18. A.L. Kholodenko, T.A. Vilgis, J. Phys. A 29 (1996) 939.
19. A.H. Fawcett, R.A.W. Mee, F.V. McBride, J. Chem. Phys. 104 (1996) 1743.
20. A.L. Kholodenko, Macromol. Theory Simul. 5 (1996) 1031.
21. V. Katritch, J. Bednar, D. Michoud, R.G. Scharein, J. Dubochet, A. Stasiak, Nature 384 (1996) 142.
22. J.E.J. Van Rensburg, E. Orlandini, D.W. Sumners, M.C. Tesi, S.G. Whittington, Phys. Rev. E 50 (1994) 4279; M. Gee, S.G. Whittington, J. Phys. A 30 (1997) L1.
23. J.E.J. Van Rensburg, E. Orlandini, D.W. Sumners, M.C. Tesi, S.G. Whittington, Phys. Rev. E 50 (1994) 4279; M. Gee, S.G. Whittington, J. Phys. A 30 (1997) L1.
24. A.Y. Grosberg, A.R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
25. V.R. Chechetkin, Phys. Lett. A 233 (1997) 151.
26. B.A. Dubrovin, S.P. Novikov, A.T. Fomenko, Modern Geometry: Methods and Applications (Nauka, Moscow, 1986) (in Russian).
27. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, J.D. Watson, Molecular Biology of the Cell (Garland, New York, 1983).
28. A. Bolshoy, P. McNamara, R.E. Harrington, E.N. Trifonov. Proc. Natl. Acad. Sci. USA 88 (1991) 2312.
29. W.K. Olson, V.B. Zhurkin, in: Biological Structure and Dynamics, Proc. of the Ninth Conversation, State University of New York, Albany eds. R.H. Sarma, M.H. Sarma (Adenine Press, New York, 1996) pp. 341-370.