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). Using knot theory to model and analyze DNA replication and recombination (Unpublished thesis). Texas State University, San Marcos, Texas.