Abstract
We develop topological methods for analyzing difference topology experiments involving –string tangles. Difference topology is a novel technique used to unveil the structure of stable protein-DNA complexes. We analyze such experiments for the Mu protein-DNA complex. We characterize the solutions to the corresponding tangle equations by certain knotted graphs. By investigating planarity conditions on these graphs we show that there is a unique biologically relevant solution. That is, we show there is a unique rational tangle solution, which is also the unique solution with small crossing number.
Citation
Isabel Darcy. John Luecke. Mariel Vazquez. "Tangle analysis of difference topology experiments: Applications to a Mu protein-DNA complex." Algebr. Geom. Topol. 9 (4) 2247 - 2309, 2009. https://doi.org/10.2140/agt.2009.9.2247
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