Date of Award
8-2023
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Dr. Cory Johnson
Abstract
Self-assembly is the process of a collection of components combining to form an organized structure without external direction. DNA self-assembly uses multi-armed DNA molecules as the component building blocks. It is desirable to minimize the material used and to minimize genetic waste in the assembly process. We will be using graph theory as a tool to find optimal solutions to problems in DNA self-assembly. The goal of this research is to develop a method or algorithm that will produce optimal tile sets which will self-assemble into a target DNA complex. We will minimize the number of tile and bond-edge types needed to assemble a DNA complex with the same structure as the trapezohedral graphs under different laboratory constraints.
Recommended Citation
Abdelkarim, Hytham, "DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS" (2023). Electronic Theses, Projects, and Dissertations. 1767.
https://scholarworks.lib.csusb.edu/etd/1767
Included in
Discrete Mathematics and Combinatorics Commons, Other Applied Mathematics Commons, Other Mathematics Commons