Honors College Capstone Experience/Thesis Projects

Department

Physics and Astronomy

Additional Departmental Affiliation

Mathematics

Document Type

Thesis

Abstract

Chronic wounds such as diabetic foot ulcers are the leading cause of non-traumatic amputations in developed countries. For researchers to better understand the physiology of these wounds, a mathematical model describing oxygen levels at the wound site can be used to help predict healing responses. The model utilizes equations that are modified from work by Guffey (2015) that consists of four variables – oxygen, bacteria, neutrophils, and chemoattractant within a system of partial differential equations. Our research focuses on numerically solving these partial differential equations using a finite volume approach. This numerical solver will be important for future research in optimization of treatments; it has the potential to be incorporated into an optimal control model for chronic wounds.

Advisor(s) or Committee Chair

Dr. Richard Schugart

Disciplines

Analytical, Diagnostic and Therapeutic Techniques and Equipment | Medical Biophysics | Partial Differential Equations | Physics