Framed curves and knotted DNA

Author:

Chirikjian Gregory S.1

Affiliation:

1. Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218 U.S.A.

Abstract

The present mini-review covers the local and global geometry of framed curves and the computation of twist and writhe in knotted DNA circles. Classical inequalities relating the total amount of bending of a closed space curve and associated knot parameters are also explained.

Publisher

Portland Press Ltd.

Subject

Biochemistry

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An algebro-geometric model for the shape of supercoiled DNA;Physica D: Nonlinear Phenomena;2022-02

2. Minimal twist accretive growth with spatial curve evolution;Mathematical Methods in the Applied Sciences;2021-08-28

3. BERTRAND-B CURVES IN THE THREE DIMENSIONAL SPHERE;Facta Universitatis, Series: Mathematics and Informatics;2019-07-22

4. Rational frames of minimal twist along space curves under specified boundary conditions;Advances in Computational Mathematics;2018-03-07

5. Moving frames and the characterization of curves that lie on a surface;Journal of Geometry;2017-07-14

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