Math @ Duke
Patrick Nelson, Research Associate
Please note: Patrick has left the Mathematics department at Duke University; some info here might not be up to date.
- Contact Info:
- Office Hours:
- Monday 2:30-3:30pm
- Ph.D. 1998 Department of Applied Mathematics, University of Washington
M.S. 1997 Department of Applied Mathematics, University of Washington
B.S. 1994 Department of Mathematics, Arizona State University
- Research Interests: Mathematical Biology, Dynamical Systems and Perturbation Theory
My primary researh interests lie in the application
and analysis of mathematical models in immunology.
I focus on the analysis of the models and what predictions the models can make about the fundamental dynamical properties of the immune response to infection.
A second interest lies in the study of the
mechanochemical equations based on the theory of
elasticity used to study pattern formation.
A third interest lies in the study of perturbation
theory and asymptotics.
- Recent Publications
- Patrick Nelson, James D. Murray and Alan S. Perelson, Analysis of a delay model used to study HIV pathogenesis,
Mathematical Biosciences, V163/2 (2000), pgs 201-215
- Nelson, P.W. , Mittler, J. and Perelson, A.S., Effect of the eclipse phase of the viral life cycle on estimation of HIV viral dynamic parameters
- Alan S. Perelson and Patrick Nelson, Mathematical Analysis of HIV Dynamics in vivo,
Siam Review, vol. 41(1), (1999), pp. 3-43
- Kwan Gett, T., Nelson, P., and Hughes, J., Predicting the effect of judicious antibiotic use on drug-resistant Streptococcus Pneunomiae colonization amoung children in day-care,
Emerging Infectious Diseases
Duke University, Box 90320
Durham, NC 27708-0320