Rational tangle surgery and Xer recombination on catenanes

Darcy, Isabel K¹ ; Ishihara, Kai² ; Medikonduri, Ram K³ ; Shimokawa, Koya⁴

¹Department of Mathematics and Applied Mathematical and Computational Sciences, University of Iowa, 14 MLH, Iowa City IA 52242, USA
²Department of Mathematics, Imperial College London, London SW7 2AZ, UK
³Pyxis Solutions, New York NY 10004, USA
⁴Department of Mathematics, Saitama University, Saitama 338-8570, Japan

Algebraic and Geometric Topology, Tome 12 (2012) no. 2, pp. 1183-1210

Résumé

The protein recombinase can change the knot type of circular DNA. The action of a recombinase converting one knot into another knot is normally mathematically modeled by band surgery. Band surgeries on a 2–bridge knot N4mn−1 2m yielding a (2,2k)–torus link are characterized. We apply this and other rational tangle surgery results to analyze Xer recombination on DNA catenanes using the tangle model for protein-bound DNA.

Détail

DOI : 10.2140/agt.2012.12.1183

Keywords: tangle, DNA topology, recombination, surgery

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