Knotting probabilities after a local strand passage in unknotted self-avoiding polygons
speaker: Chris Soteros (University of Saskatchewan, Canada)abstract: M. Szafron and I have developed a self-avoiding polygon model of local strand passage which allows for the investigation of knot distributions after a unidirectional crossing-sign change at the strand-passage-site. The model is used to explore possible mechanisms for the experimentally observed unknotting efficiency and chirality discrimination of type 2 topoisomerase action on DNA. A composite Markov Chain Monte Carlo (CMC) BFACF-based algorithm, called the CMC \(\theta\)-BFACF algorithm, is used to investigate the model. In this talk, I will define the model, present theoretical results related to it, and then describe the CMC \(\theta\)-BFACF in detail. I will outline the ergodicityproof and statistical methods for analyzing the data generated from the algorithm. Finally, I will present results about the knotting probabilities after a local strand passage in unknotted self-avoiding polygons.
timetable:
Thu 9 Jun, 10:15 - 11:15, Aula Dini
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