Honors College Capstone Experience/Thesis Projects

Department

Mathematics

Document Type

Thesis

Abstract

Chronic wounds plague approximately 1.3-3 million Americans. The treatment of these wounds requires knowledge of the complex healing process of typical wounds. With a system of partial differential equations, this project attempts to model the intricate biological process and to describe oxygen levels, neutrophil and bacteria concentrations, and other biological parameters with respect to time and space. Analytical solutions for the model will be derived for various frames of time in the wound-healing process. The system of equations will be numerically solved using Matlab. Numerical simulations are performed to determine optimal treatment strategies for a chronic wound.

Advisor(s) or Committee Chair

Dr. Richard Schugart

Disciplines

Mathematics

Included in

Mathematics Commons

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