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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1971 Apr;68(4):815–819. doi: 10.1073/pnas.68.4.815

The Writhing Number of a Space Curve

F Brock Fuller 1
PMCID: PMC389050  PMID: 5279522

Abstract

A geometric invariant of a space curve, the writhing number, is defined and studied. For the central curve of a twisted cord the writhing number measures the extent to which coiling of the central curve has relieved local twisting of the cord. This study originated in response to questions that arise in the study of supercoiled double-stranded DNA rings.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bauer W., Vinograd J. The interaction of closed circular DNA with intercalative dyes. I. The superhelix density of SV40 DNA in the presence and absence of dye. J Mol Biol. 1968 Apr 14;33(1):141–171. doi: 10.1016/0022-2836(68)90286-6. [DOI] [PubMed] [Google Scholar]
  2. Glaubiger D., Hearst J. E. Effect of superhelical structure on the secondary structure of DNA rings. Biopolymers. 1967;5(8):691–696. doi: 10.1002/bip.1967.360050803. [DOI] [PubMed] [Google Scholar]
  3. Vinograd J., Lebowitz J. Physical and topological properties of circular DNA. J Gen Physiol. 1966 Jul;49(6):103–125. doi: 10.1085/jgp.49.6.103. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Vinograd J., Lebowitz J., Radloff R., Watson R., Laipis P. The twisted circular form of polyoma viral DNA. Proc Natl Acad Sci U S A. 1965 May;53(5):1104–1111. doi: 10.1073/pnas.53.5.1104. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Vinograd J., Lebowitz J., Watson R. Early and late helix-coil transitions in closed circular DNA. The number of superhelical turns in polyoma DNA. J Mol Biol. 1968 Apr 14;33(1):173–197. doi: 10.1016/0022-2836(68)90287-8. [DOI] [PubMed] [Google Scholar]

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