Publications Publications [2] Nelson, P.W., Murray, J.D., and Perelson, A.S. A model of HIV pathogenesis that includes an intracellular delay. Mathematical Biosciences V163:2 2000, pgs 201-215. pdf
[3] Perelson, A.S. and Nelson, P.W. Modeling Viral Infections. In An Introduction to Mathematical Modeling in Physiology, Cell Biology and Immunology, J. Sneyd, ed., AMS , Providence, RI 2001
[4] Nelson, P.W., Mittler, J. and Perelson, A.S. Effect of drug efficacy and the eclipse phase of the viral life cycle on the estimates of HIV viral dynamic parameters. Journal of Aids V26:5 2001 pdf
[5] Nelson, P. and Hernandez, J. Modeling the immune response to parasitic infections: Leishmaniasis and Chagas disease. Comments on Theoretical Biology V6:2 2002 [6] Nelson, P.W. and Perelson, A.S. Mathematical Analysis of delay differential equations models of HIV-1 infection. Mathematical Biosciences V179:1 2002, pgs 73-94 pdf
[7] Criminale, W.O., Jackson, T.L.,and Nelson, P.W. Limit cycle-strange attractor competition. Studies in Applied Mathematics V112 2004, pages 133-60
[8] Bortz, D. and Nelson, P. Sensitivity Analysis of Nonlinear Lumped Parameter Models of HIV Infection Dynamics. Bulletin of Mathematical Biology V66 2004, pages 1009-26 pdf
[9] Nelson, P.W., Gilchrist, M., Coombs, D., Hyman, J., and Perelson, A.S. An Age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Mathematical Biosciences and Engineering V1:2, 2004, pages 267-88 pdf
[10] Forde, J. and Nelson, P. Applications of Sturm Sequences to Bifurcation Analysis of Delay Differential Equation Models. Journal of Mathematical Analysis and Applications, V300:2, 2004, pages 273-284 pdf
[11] Ciupe, S. , De Bivort, B., Bortz, D. and Nelson, P.. Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Mathematical Biosciences V200, 2006 pages 1 Š 27. pdf
[12] Bortz, D. and Nelson, P. Model Selection and Mixed-Effects Modeling of HIV Infection Dynamics. Bulletin of Mathematical Biology, V68(8), 2006, pages 2005-25. pdf
[13] Ciupe, S., Ribeiro, R., Nelson, P., Dusheiko, G., and Perelson, A.S. The role of cells refractory to productive infection in acute hepatitis B viral dynamics. Proceedings of the National Academy of Science, V104, 2007, pgs 5050-55.
000 0 [14] Yi, S., Nelson, P., and Ulsoy, G. Delay differential equations via the Matrix Lambert W Function and bifurcation analysis: Application to machine tool chatter, Mathematical Biosciences and Engineering, V4(2), 2007.
[15] Yi, S. Nelson, P. and Ulsoy, G. Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert W Function, Proceedings of the American Control Conference, 2007, pgs 5631-36.
[16] Yi, S., Ulsoy, G. and Nelson, P. Solution of systems of linear delay differential equations via Laplace Transformations, Proceedings 45th IEEE Conference on Decision and Control, 2006, pgs 2535-40.
[17] S. Yi, P. W. Nelson and A. G. Ulsoy, Chatter stability analysis using the matrix Lambert function and bifurcation analysis, Proc. International Conference on Manufacturing Science and Engineering, MSEC 2006, 2006.
[18] Greineder, Nelson, P. C., Dressel, A., Erba, H., and Younger, J. An in-vitro and in-silico analysis of the utility of Annexin V binding to lymphocytes as a biomarker in Emergency DepartmentÕs studies of Sepsis, Academic Emergency Medicine, V14(9), 2007, pgs 763-771
[19] Yi, S., Ulsoy, G. and Nelson, P. Analysis of systems of linear delay differential equations using the Matrix Lambert Function and the Laplace Transformation (to appear)
[20] Ciupe, S., Nelson, P., Rubiero, R. and Perelson, A. Modeling the mechanisms of acute hepatitis B virus infection, Journal of Theoretical Biology, V247(1), 2007, pgs 23-35
[21] S.Yi, P. W. Nelson and A. G. Ulsoy, Survey on analysis of time delayed systems via the Lambert W function, Dynamics of Continuous, Discrete and Impulsive Systems (Series A), 2007. (in press). [Also presented at Proc. 5th Int. Conf. on Differential Equations and Dynamical Systems, Edinburg, Texas, Dec. 2006]
[22] Yi, S., Ulsoy, G, and Nelson, P. Feedback control via Eigenvalue assignment for time delayed systems using the Lambert W Function (in press 2008), Journal of Vibration and Control
[23] S. Yi, P. W. Nelson and A. G. Ulsoy, Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert Function, IEEE Trans. Aut. Cont.,V53(3), 2008, pgs 854-60.
[24] S. Yi, P. W. Nelson and A. G. Ulsoy, Eigenvalues and Sensitivity Analysis for a Model of HIV-1 Pathogenesis with an Intracellular Delay, ASME Dynamic Systems and Control Conference, (to appear 2008).
[25] S. Yi, P. W. Nelson and A. G. Ulsoy, Analysis and control of time delayed systems via the Lambert W function, IFAC, 2008, pgs 13414-19.
[26] S. Yi, P. W. Nelson and A. G. Ulsoy, Robust control and time-domain specifications for systems for delay differential equations via eigenvalue assignment, American Control Conference, 2008, ppgs 4928-33.
[27] Pietropaolo, M. and Surhigh, J. and Nelson, P. and Eisenbarth, G. Perspectives in Diabetes, Primer: Immunity and Autoimmunity, Diabetes, 2008, pgs 2872-82.
[28] Nelson, P., Smith, N., Ciupe, S., Zou, W. Omenn, G. and Pietropaolo, M. Modeling dynamic fluctuations in type 1 diabetes progression: Quantifying §-cell variation after the appearance of islet marker antibodies (submitting)
[29] S, Yi, P. W. Nelson and A. G. Ulsoy, Effects of time-delays on stability and limits on stabilizing of first order time-delay systems, (submitted)
[30] L. Almassalha, A. Radhamohan, A. Cheng, D. Gammack, J. Schiefelbein, P. Nelson, Modeling pattern formation in the Arabidopsis Root, (submitting)
[31] S. Yi, Ulsoy, G. and Nelson, P. Controllability and Observability for HIV drug therapy models (submitting)
Book Reviews and Book Chapters