Dr. Caudill is interested in biological and medical applications of mathematical modeling. His current research is focused on using mathematical and computational models to simulate infection spread in hospital wards, with particular focus on the rise and spread of antibiotic resistance in human pathogens. The long-term goal is to create a simulation tool that can be used to test different strategies for minimizing the risk of antibiotic-resistant infections.
Bryan, K., & Caudill, L. F. (2005) Reconstruction of an unknown boundary portion from Cauchy data in n dimensions. Inverse Problems, v. 21, 239-255.
Caudill, Jr., L.F., Perry, P.A., & Schueller, A.W. (1998) Isospectral sets for fourth-order ordinary differential operators. SIAM Journal on Mathematical Analysis, 935-966.
Bryan, K., & Caudill, Jr., L.F. (1998) Stability and reconstruction for an inverse problem for the heat equation. Inverse Problems 14, 1429-1453.
Bryan, K., & Caudill, Jr., L.F. (1997) Uniqueness for a boundary identification problem in thermal imaging. Electronic Journal of Differential Equations C-1, 23-39.
Ph.D., Texas A&M
Biomedical Applications of Mathematical Modeling