Fixed-writhe isotopies and the topological conservation law for closed, circular DNA

Journal of Knot Theory and its Ramifications

Volumn 5, Issue 6, 1996, Pages 859-866

  Miller, David ^a   Benham, Craig ^b  

^a WILLIAM PATERSON UNIVERSITY   (United States)

^b MOUNT SINAI MEDICAL CENTER   (United States)

Author keywords

DNA; Knot theory; Self linking; Writhe

Indexed keywords

EID: 0002531415     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216596000461     Document Type: Article

References (8)

1. F. B. Fuller, Decomposition of the linking number of a closed ribbon: A problem from molecular biology, Proc. Natl. Acad. Sci. USA, 75 (1978) 3557-3561.
2. F. B. Fuller, The writhing number of a Space Curve, Proc. Natl. Acad. Sci. USA, 68 (1971) 815-819.
3. H. Gluck and L. H. Pan, Knot theory in the presence of curvature I, Preprint, University of Pennsylvania, (1994).
4. W. F. Pohl, The self-linking number of a closed space curve, Journal of Mathematics and Mechanics, 17, (1968) 975-985.
5. J. Vinograd, J. Lebowitz, R. Radliff, R. Watson, and P. Laipis, Proc. Nat'l. Acad. Sci., 53 (1965) 1104-1111.
6. J. H. White, Self-linking and the gauss integral in higher dimensions, American Journal of Mathematics, 91 (1969) 693-727.
7. J. H. White, An introduction to the geometry and topology of DNA structure, in Mathematical Methods for DNA Sequences, M. Waterman, editor. CRC Press, Inc. (1988).
8. J. H. White and W. R. Bauer, Calculation of the Twist and the writhe for Representative Models of DNA, J. Mol. Biol., 189 (1986) 329-341.