不同拓扑实验的缠结分析：应用于Mu蛋白-DNA复合物
Tangle analysis of difference topology experiments: applications to a Mu protein-DNA complex
摘要：
我们发展了拓扑方法来分析三弦缠结的差分拓扑实验。差异拓扑学是一种新的技术，用于揭示包含两个或多个DNA片段的稳定蛋白质-DNA复合物的结构。我们分析了Mu蛋白-DNA复合物的实验。我们用特定的纽结图刻画了相应的缠结方程的解。通过调查这些图的平面性条件，我们表明，有一个独特的生物相关的解决方案。也就是说，我们证明了存在唯一的有理缠结解，这也是唯一的小交叉数的解决方案。
英文摘要：
We develop topological methods for analyzing difference topology experiments involving 3-string tangles. Difference topology is a novel technique used to unveil the structure of stable protein-DNA complexes involving two or more DNA segments. 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.
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