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Topoisomerase VI is a chirally-selective, preferential DNA decatenase
eLife, 2022 DNA topoisomerase VI (topo VI) is a type IIB DNA topoisomerase found predominantly in archaea and some bacteria, but also in plants and algae. Since its discovery, topo VI has been proposed to be a DNA decatenase; however, robust evidence and a mechanism
Shannon J McKie +5 more
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On Comparing the Writhe of a Smooth Curve to the Writhe of an Inscribed Polygon [PDF]
SIAM Journal on Numerical Analysis, 2005 We find bounds on the difference between the writhing numbers of a smooth curve and a polygonal curve inscribed within. The proof is based on an extension of Fuller's difference of writhe formula to the case of polygonal curves. The results establish error bounds useful in the numerical computation of writhe in terms of bounds on the edge lengths of ...
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The European Physical Journal B, 1998 plain TeX, harvmac + epsf, 11 pages, 1 included eps figure.
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Knot topology of exceptional point and non-Hermitian no-go theorem
Physical Review Research, 2022 Exceptional points (EPs) are peculiar band singularities and play a vital role in a rich array of unusual optical phenomena and non-Hermitian band theory.
Haiping Hu, Shikang Sun, Shu Chen
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The Writhing Number of a Space Curve [PDF]
Proceedings of the National Academy of Sciences, 1971 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 ...
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Topological Process of Splitting DNA-Links
Biomath, 2022 A DNA replicon is modeled by a special type of 2-component link, called a DNA-link, in which two circles form a double helix around a trivial center core curve.
Abdul Adheem Mohamad, Tsukasa Yashiro
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Introduction to disoriented knot theory
Open Mathematics, 2018 This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such as disoriented knot ...
Altıntaş İsmet
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Filament actuation by an active colloid at low Reynolds number
New Journal of Physics, 2017 Active colloids and externally actuated semi-flexible filaments provide basic building blocks for designing autonomously motile micro-machines. Here, we show that a passive semi-flexible filament can be actuated and transported by attaching an active ...
Abhrajit Laskar, R Adhikari
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Writhing geometry of open DNA [PDF]
The Journal of Chemical Physics, 2003 Motivated by recent experiments on DNA torsion-force-extension characteristics we consider the writhing geometry of open stiff molecules. We exhibit a cyclic motion which allows arbitrarily large twisting of the end of a molecule via an activated process.
Rossetto, Vincent, Maggs, A. C.
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Vortex dynamics in nonrelativistic Abelian Higgs model
Physics Letters B, 2015 The dynamics of the gauge vortex with arbitrary form of a contour is considered in the framework of the nonrelativistic Abelian Higgs model, including the possibility of the gauge field interaction with the fermion asymmetric background.
A.A. Kozhevnikov
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