Advances in computational techniques have resulted in a cooperative relationship between biological and mathematical/statistical scientists. Using mathematical models for studying human disease processes, such as infectious disease, autoimmunity or cancer, has had a unifying effect on laboratory and clinical studies. Where molecular and animal models have been invaluable to the study and understanding of human disease, mathematical and statistical modeling is a fundamental element in the forward progression of rigorous medical research.
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Mathematical modeling of virus and immune system dynamics. Population/within-host dynamics approach to quantify HIV-1 infection and treatment efficacy (ordinary differential equations, nonlinear mixed effects models).
Research interests include mathematical modeling of infectious diseases, evaluating impact of interventions for HIV prevention, mathematical biology (population dynamics, epidemic modeling) and dynamical systems (ODE, PDE, and impulsive systems)
Research focus includes vaccine clinical trials, the design and analysis of Phase I/II trials, for evaluating vaccine effects on immune responses; the design and analysis of Phase 2b/III trials, for evaluating vaccine efficacy, immune correlates, sieve analysis, and post-infection vaccine effects; general biostatistical methods research, such as survival analysis, causal inference, and evaluation of surrogate endpoints
Interest in describing the quantitative and dynamical features of human pathogens and immune responses. Most of work to-date is on the pathogenesis of HSV-2 infection but also interested in applying models to optimize viral eradication startegies, and to use models to capture kinetic features of the human microbiome.
Epidemiologic studies of infectious disease transmission, vaccine studies and the development of novel statistical methods and designs for studies of infectious disease transmission. Efficacy and effectiveness assessments of control and prevention strategies for infectious diseases of import to global health, including influenza, cholera, dengue, and tuberculosis
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