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Literature DB >> 10220368

Global curvature, thickness, and the ideal shapes of knots.

Abstract

The global radius of curvature of a space curve is introduced. This function is related to, but distinct from, the standard local radius of curvature and is connected to various physically appealing properties of a curve. In particular, the global radius of curvature function provides a concise characterization of the thickness of a curve, and of certain ideal shapes of knots as have been investigated within the context of DNA.

Year: 1999 PMID： 10220368 PMCID： PMC21766 DOI： 10.1073/pnas.96.9.4769

Source DB: PubMed Journal: Proc Natl Acad Sci U S A ISSN： 0027-8424 Impact factor: 11.205

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Cited

8 in total

1. Inferring the diameter of a biopolymer from its stretching response.

Authors: Ngo Minh Toan; Davide Marenduzzo; Cristian Micheletti
Journal: Biophys J Date: 2005-04-22 Impact factor: 4.033

2. Structural motifs of biomolecules.

Authors: Jayanth R Banavar; Trinh Xuan Hoang; John H Maddocks; Amos Maritan; Chiara Poletto; Andrzej Stasiak; Antonio Trovato
Journal: Proc Natl Acad Sci U S A Date: 2007-10-24 Impact factor: 11.205

3. Ground-state properties of tubelike flexible polymers.

Authors: T Vogel; T Neuhaus; M Bachmann; W Janke
Journal: Eur Phys J E Soft Matter Date: 2009-09-24 Impact factor: 1.890

4. Effects of knot tightness at the molecular level.

Authors: Liang Zhang; Jean-François Lemonnier; Angela Acocella; Matteo Calvaresi; Francesco Zerbetto; David A Leigh
Journal: Proc Natl Acad Sci U S A Date: 2019-01-25 Impact factor: 11.205

5. Effects of physiological self-crowding of DNA on shape and biological properties of DNA molecules with various levels of supercoiling.

Authors: Fabrizio Benedetti; Aleksandre Japaridze; Julien Dorier; Dusan Racko; Robert Kwapich; Yannis Burnier; Giovanni Dietler; Andrzej Stasiak
Journal: Nucleic Acids Res Date: 2015-02-04 Impact factor: 16.971

Global curvature, thickness, and the ideal shapes of knots.

1. Inferring the diameter of a biopolymer from its stretching response.

2. Structural motifs of biomolecules.

3. Ground-state properties of tubelike flexible polymers.

4. Effects of knot tightness at the molecular level.

5. Effects of physiological self-crowding of DNA on shape and biological properties of DNA molecules with various levels of supercoiling.

6. Can visco-elastic phase separation, macromolecular crowding and colloidal physics explain nuclear organisation?

7. Subknots in ideal knots, random knots, and knotted proteins.

8. Sedimentation of macroscopic rigid knots and its relation to gel electrophoretic mobility of DNA knots.