Mathematical analysis of HIV-1 dynamics in vivo AS Perelson, PW Nelson SIAM review 41 (1), 3-44, 1999 | 1964 | 1999 |
Mathematical analysis of delay differential equation models of HIV-1 infection PW Nelson, AS Perelson Mathematical biosciences 179 (1), 73-94, 2002 | 616 | 2002 |
A model of HIV-1 pathogenesis that includes an intracellular delay PW Nelson, JD Murray, AS Perelson Mathematical biosciences 163 (2), 201-215, 2000 | 474 | 2000 |
Modeling the mechanisms of acute hepatitis B virus infection SM Ciupe, RM Ribeiro, PW Nelson, AS Perelson Journal of theoretical biology 247 (1), 23-35, 2007 | 246 | 2007 |
Time-delay systems: analysis and control using the Lambert W function S Yi, PW Nelson, AG Ulsoy World Scientific, 2010 | 231 | 2010 |
Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models MS Ciupe, BL Bivort, DM Bortz, PW Nelson Mathematical biosciences 200 (1), 1-27, 2006 | 174 | 2006 |
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 PW Nelson, MA Gilchrist, D Coombs, JM Hyman, AS Perelson Mathematical Biosciences & Engineering 1 (2), 267-288, 2004 | 171 | 2004 |
The role of cells refractory to productive infection in acute hepatitis B viral dynamics SM Ciupe, RM Ribeiro, PW Nelson, G Dusheiko, AS Perelson Proceedings of the National Academy of Sciences 104 (12), 5050-5055, 2007 | 150 | 2007 |
Effect of drug efficacy and the eclipse phase of the viral life cycle on estimates of HIV viral dynamic parameters PW Nelson, JE Mittler, AS Perelson JAIDS Journal of Acquired Immune Deficiency Syndromes 26 (5), 405-412, 2001 | 114 | 2001 |
Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter S Yi, PW Nelson, AG Ulsoy Mathematical Biosciences & Engineering 4 (2), 355-368, 2007 | 107 | 2007 |
Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics DM Bortz, PW Nelson Bulletin of mathematical biology 66, 1009-1026, 2004 | 107 | 2004 |
Controllability and observability of systems of linear delay differential equations via the matrix Lambert W function S Yi, PW Nelson, AG Ulsoy IEEE Transactions on Automatic Control 53 (3), 854-860, 2008 | 94 | 2008 |
Translating Glucose Variability Metrics into the Clinic via C ontinuous G lucose M onitoring: AG raphical U ser I nterface for D iabetes E valuation (CGM-GUIDE©) RA Rawlings, H Shi, LH Yuan, W Brehm, R Pop-Busui, PW Nelson Diabetes technology & therapeutics 13 (12), 1241-1248, 2011 | 91 | 2011 |
Design of observer-based feedback control for time-delay systems with application to automotive powertrain control S Yi, AG Ulsoy, PW Nelson Journal of the Franklin Institute 347 (1), 358-376, 2010 | 81 | 2010 |
Eigenvalue assignment via the Lambert W function for control of time-delay systems S Yi, PW Nelson, AG Ulsoy Journal of Vibration and Control 16 (7-8), 961-982, 2010 | 80 | 2010 |
Applications of Sturm sequences to bifurcation analysis of delay differential equation models J Forde, P Nelson Journal of Mathematical Analysis and Applications 300 (2), 273-284, 2004 | 77 | 2004 |
Association between impaired cardiovascular autonomic function and hypoglycemia in patients with type 1 diabetes M Jaiswal, K McKeon, N Comment, J Henderson, S Swanson, C Plunkett, ... Diabetes care 37 (9), 2616-2621, 2014 | 75 | 2014 |
Model selection and mixed-effects modeling of HIV infection dynamics DM Bortz, PW Nelson Bulletin of mathematical biology 68, 2005-2025, 2006 | 75 | 2006 |
Proportional-integral control of first-order time-delay systems via eigenvalue assignment S Yi, PW Nelson, AG Ulsoy IEEE Transactions on Control Systems Technology 21 (5), 1586-1594, 2012 | 65 | 2012 |
Survey on analysis of time delayed systems via the Lambert W function S Yi, PW Nelson, AG Ulsoy Differ. Equations 14, 296-301, 2007 | 59 | 2007 |