Patrick Nelson
Patrick Nelson
Associate Professor and Chair, Lawrence Technological University
Adresse e-mail validée de ltu.edu
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Mathematical analysis of HIV-1 dynamics in vivo
AS Perelson, PW Nelson
SIAM review 41 (1), 3-44, 1999
17291999
Mathematical analysis of delay differential equation models of HIV-1 infection
PW Nelson, AS Perelson
Mathematical biosciences 179 (1), 73-94, 2002
5292002
A model of HIV-1 pathogenesis that includes an intracellular delay
PW Nelson, JD Murray, AS Perelson
Mathematical biosciences 163 (2), 201-215, 2000
4122000
Time-delay systems: analysis and control using the Lambert W function
S Yi, PW Nelson, AG Ulsoy
World Scientific, 2010
1902010
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
1892007
Time-delay systems: analysis and control using the Lambert W function
S Yi, PW Nelson, AG Ulsoy
World Scientific, 2010
1872010
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
1572006
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, 2004
1432004
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
1202007
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
Journal of acquired immune deficiency syndromes (1999) 26 (5), 405-412, 2001
1092001
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, 2007
1022007
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
852008
Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics
DM Bortz, PW Nelson
Bulletin of mathematical biology 66 (5), 1009-1026, 2004
782004
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
732011
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
732010
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
732004
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
712010
Model selection and mixed-effects modeling of HIV infection dynamics
DM Bortz, PW Nelson
Bulletin of mathematical biology 68 (8), 2005-2025, 2006
652006
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
552012
Survey on analysis of time delayed systems via the Lambert W function
S Yi, PW Nelson, AG Ulsoy
Differ. Equations 14, 296-301, 2007
552007
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