Quiyana Murphy

My research interests lie in developing, analyzing, and validating mathematical models of diseases at multiple scales, with a particular focus on immunity. Specifically, I focus on developing, analyzing, and validating mathematical models of complex biological systems to understand the spread and persistence of diseases at multiple scales, with applications in biology, medicine, and public health. A primary area of focus has been characterizing mechanisms of the body's natural molecular, cellular, and systemic processes, its response to external challenges or immunodeficiencies, and subsequent impacts on disease, treatment, and transmission outcomes under the advisement of Dr. Stanca Ciupe. More recently I am examining dual immunotherapies for the treatment of solid tumors under the advisement of Dr. Trachette Jackson. My work utilizes mathematical subject areas of differential equations, dynamical systems theory, numerical analysis, optimization theory, probability theory, statistics, and game theory. In addition, I utilize biological disciplines such as virology, immunology, and epidemiology.