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.
Caudill, Lester and Barry Lawson. "A unified inter-host and in-host model of antibiotic resistance and infection spread in a hospital ward." Journal of Theoretical Biology 421 (May 2017): 112–126. doi.org/10.1016/j.jtbi.2017.03.025.
Caudill, Lester, and Joanna R. Wares. "The Role of Mathematical Modeling in Designing and Evaluating Antimicrobial Stewardship Programs." Current Treatment Options in Infectious Diseases, April 11, 2016. doi:10.1007/s40506-016-0074-8.
Caudill, Lester, and Barry Lawson. "A Hybrid Agent-based and Differential Equations Model for Simulating Antibiotic Resistance in a Hospital Ward." Proceedings of the 2013 Winter Simulations Conference (WSC), December 2013, 1419-1423. doi:10.1109/wsc.2013.6721527.
Caudill, Lester. "A Single-Parameter Model of the Immune Response to Bacterial Invasion." Bulletin of Mathematical Biology 75, no. 9 (2013): 1434-1449. doi:10.1007/s11538-013-9854-1.
Gentile, Lisa, Lester Caudill, Mirela Fetea, April Hill, Kathy Hoke, Barry Lawson, Ovidiu Lipan, Michael Kerckhove, Carol Parish, Krista Stenger, and Doug Szajda. "Challenging Disciplinary Boundaries in the First Year: A New Introductory Integrated Science Course for STEM Majors." Journal of College Science Teaching 41, no. 5 (May/June 2012): 44-50.
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