Classification of Tangle Solutions for Integrases, A Protein Family that Changes DNA Topology
| dc.creator | Buck, Dorothy | |
| dc.creator | Marcotte, Cynthia Verjovsky | |
| dc.date | 2005-01-11 | |
| dc.date.accessioned | 2026-07-07T05:15:59Z | |
| dc.date.available | 2026-07-07T05:15:59Z | |
| dc.description | Integrase proteins acting on circular double-stranded DNA often change its topology by transforming unknotted circles into torus knots and links. Two systems of tangle equations--corresponding to the two initial DNA sequences--arise when modelling this transformation: direct and inverted. With no a priori assumptions on the constituent tangles, we utilize Dehn surgery arguments to completely classify the tangle solutions for each of the two systems. A key step is to combine work of our previous paper with recent results of Kronheimer, Mrowka, Ozsvath and Szabo, and Ernst to show a certain prime tangle must in fact be a generalized Montesinos tangle. These tangle solutions are divided into three classes, common to both systems, plus a fourth class for the inverted system that contains the sole generalized Montesinos tangle. We discuss the possible biological implications of our classification, and of this novel solution. | |
| dc.description | 17 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0501173 | |
| dc.identifier | http://arxiv.org/abs/math/0501173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73826 | |
| dc.subject | Geometric Topology | |
| dc.subject | Biomolecules | |
| dc.subject | 57M | |
| dc.title | Classification of Tangle Solutions for Integrases, A Protein Family that Changes DNA Topology | |
| dc.type | text |