Decomposition of the Linking Number of a Closed Ribbon: A Problem from Molecular Biology

Decomposition of the Linking Number of a Closed Ribbon: A Problem from Molecular Biology

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. I...

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 1978-08, Vol.75 (8), p.3557-3561
1. Verfasser: Fuller, F. Brock
Format: Artikel
Sprache:eng
Schlagworte:
Closed curves
Creeks
Curves
DNA
Molecules
Nucleosomes
Physical Sciences: Mathematics
Polymers
Space curve
Tangents
Topology
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Zusammenfassung: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.''
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.75.8.3557