Using Knot Theory to Model and Analyze DNA Replication and Recombination
Date
2018-11
Authors
Farrell, Megan K.
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Abstract
Due to DNA supercoiling inside the nucleus of a cell, DNA can be modeled as a mathematical knot. We will analyze and examine the knots and links that arise after single or multiple rounds of DNA recombi- nation using the tangle model. We will also examine how the topology of a DNA strand is modified during DNA replication and which enzymes directly alter the topology of the strand. The goal is to better understand the mechanism of site-specific recombination and knotted DNA replication through mathematical models.
Description
Keywords
Knot Theory, Topology, DNA, Math modeling, Tangle model, Tangles
Citation
Farrell, M. K. (2018). <i>Using knot theory to model and analyze DNA replication and recombination</i> (Unpublished thesis). Texas State University, San Marcos, Texas.