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arXiv · 1108.0724

Rational tangle surgery and Xer recombination on catenanes

Isabel K. Darcy·Kai Ishihara·Ram K. Medikonduri·Koya Shimokawa
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Abstract

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 N((4mn-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.

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Isabel K. Darcy, Kai Ishihara, Ram K. Medikonduri, Koya Shimokawa. 2011-08-03. Rational tangle surgery and Xer recombination on catenanes. https://doi.org/10.2140/agt.2012.12.1183

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