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Rational tangle surgery
and Xer recombination on catenanes
Isabel K Darcy, Kai Ishihara, Ram K Medikonduri and Koya Shimokawa |
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Algebraic & Geometric Topology 12 (2012) 1183–1210
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Abstract |
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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 –bridge knot yielding a –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. |
Keywords
tangle, DNA topology, recombination, surgery
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Mathematical Subject Classification 2000
Primary: 57M25, 92C40
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References |
Publication
Received: 29 September 2011
Revised: 2 February 2012
Accepted: 3 February 2012
Published: 28 May 2012
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Authors |
| Isabel K Darcy | |
| Department of Mathematics and
Applied Mathematical and Computational Sciences University of Iowa 14 MLH Iowa City IA 52242 USA |
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| http://www.math.uiowa.edu/~idarcy/ | |
| Kai Ishihara | |
| Department of Mathematics Imperial College London London SW7 2AZ UK |
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| http://www2.imperial.ac.uk/~kishihar/ | |
| Ram K Medikonduri | |
| Pyxis Solutions New York NY 10004 USA |
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| Koya Shimokawa | |
| Department of Mathematics Saitama University Saitama 338-8570 Japan |
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| http://www.rimath.saitama-u.ac.jp/lab.en/kshimoka/index-e.html | |
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