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 Location:	223 Physics Bldg
Email Address:
Web Page:	http://www.math.duke.edu/~pnelson

Office Hours:

Monday 2:30-3:30pm
Tuesday 2:00-3:00pm
Thursday 9:30-10:30am

Education:

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

1. 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
2. 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 (Submitted, 0)
3. Alan S. Perelson and Patrick Nelson, Mathematical Analysis of HIV Dynamics in vivo, Siam Review, vol. 41(1), (1999), pp. 3-43
4. 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 (Submitted, 0)