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Published August 1978 | Published
Journal Article Open

Decomposition of the linking number of a closed ribbon: A problem from molecular biology

Abstract

A closed duplex DNA molecule relaxed and containing nucleosomes has a different linking number from the same molecule relaxed and without nucleosomes. What does this say about the structure of the nucleosome? A mathematical study of this question is made, representing the DNA molecule by a ribbon. It is shown that the linking number of a closed ribbon can be decomposed into the linking number of a reference ribbon plus a sum of locally determined "linking differences."

Additional Information

© 1978 by the National Academy of Sciences. Communicated by F. H. C. Crick, May 12, 1978. I wish to acknowledge the benefit of correspondence and conversations with F. H. C. Crick. The costs of publication of this article were defrayed in part by the payment of page charges. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.

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Created:
August 22, 2023
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October 16, 2023