patrick-nelson
Patrick Nelson
Department Chair

Department of Mathematics and Computer Science
Lawrence Technological University, USA
Phone: 248.204.3560
E-mail: pnelson@ltu.edu

Education

9/1999 – 8/2000 Duke University, Postdoctoral Fellow, Department of Mathematics,
9/1998-8/1999 University of Minnesota, Postdoctoral Fellow, Institute for Mathematics and its Application
9/1995 – 8/1998 University of Washington, PhD, Department of Applied Mathematics
9/1994 – 8/1995 University of Washington, MS, Department of Applied Mathematics
9/1990 – 8/1994 Arizona State University, BS, Department of Mathematics

Biography

5/2016 – present LTU, Chair of Math and Computer Science Department
9/2012–present    Lawrence Technological University, Associate Professor with tenure, Department of Mathematics and Computer Science
9/2008–8/2012 University of Michigan, Research Professor, Center for Computational Medicine and Biology
9/2002–8/2008 UM, Assistant Professor (tenure-track), Department of Mathematics
9/2000–8/2002 UM, Assistant Professor (non-tenure track), Department of Mathematics

Research Interest

  1. Mathematical Biology
  2. Mathematical Modeling of Infectious Diseases, Diabetes and Cancer
  3. Computational Modeling of Disease

Scientific Activities

2017–present Board of Directors – Chairman, Jefferson-Douglas Academy Detroit
2012–present King, Chavez and Parks (KCP), Macro Program Director for Mathematics, LTU
2015 June International Program Committee, IFAC Time Delay Systems (TDS), UM
2011 December Organizing Committee, 2nd World Conference on Diabetes and Metabolism

Publications

Books/Book Chapters
  1. Yi S, Duan S, Nelson P, Ulsoy G, Analysis and Control of Time Delay Systems Using the LambertW DDE Toolbox, Delay Systems, Advances in Delays and Dynamics 1, Springer International Publishing, 2014
  2. Nelson PW. Dynamical Systems Theory, Delay Differential Equations. Springer, Encyclopedia of Systems Biology, Book Chapter, 2013
  3. Yi S, Nelson PW, Ulsoy G. Analysis and control of time delay systems via the Lambert W function. World Scientific Press. 2010
Papers/Articles since 2012
  1. Nelson P. Surprises and enjoyment during the first year of serving as Chair, The Department Chair, In Prep 2017
  2. Greenfield B, Reed S, Shaked S, Marrs C, Nelson P, Raxter I, Xi C, McKone T, Jolliet O. Modeling the emergence of antibiotic resistance in the environment: an analytical solution for the minimum selection concentration, Submitted 2017
  3. Yi S, Ulsoy G, Nelson P. Experimental Evaluation of Vision-Based DC Motor Position Control with Time Delay, Submitted IEEE (2015)
  4. Yi S, Duan S, Nelson P, Ulsoy G. (2014). Analysis and control of time delay systems using the LambertWDDE toolbox, Delay Systems 271-284.
  5. Jaiswal M, McKeon K, Comment N, Henderson J, Swanson S, Plunkett R, Nelson P, and Pop-Busui R. (2014). Association between Impaired Cardiovascular Autonomic Function and Hypoglycemia in Patients with Type 1 Diabetes Mellitus. Diabetes Care, 37, 2616-2621.
  6. Jaiswal M, Plunkett C, Henderson J, Comment N, Nelson P, Pop-Busui R, Feldman E. (2013). The Impact of Glycemic Variability on CAN in Patients with Type 1 Diabetes.
  7. Yi S, Nelson, PW, Ulsoy AG (2013). Proportional-Integral Control of First- Order Time-Delay Systems via Eigenvalue Assignment.IEEE Transactions on Control Systems Technology, 21(5), 1586-1594.
  8. Yi S, Duan S, Nelson PW, Ulsoy AG (2012). The Lambert W Function Approach to Time Delay Systems and the LambertW_DDE Toolbox. Paper presented at the 10-th IFAC Workshop on Time Delay Systems, Boston, pp. 114-119.
  9. Simonov M, Rawlings R, Reed S, Shi X, Nelson P. Modeling adaptive regulatory T-cell dynamics during early HIV infection, PLOS one, V7 (4), 2012, e33924.
Papers/Articles 1999 – 2011
  1. Rawlings RA, Shi H, Yuan L, Brehm W, Pop-Busui R, Nelson P, Translating glucose variability metrics into the clinic via Continuous Glucose Monitoring: a Graphical User Interface for Diabetes Evaluation (CGM-GUIDE), Diabetes Technology and Therapeutics, V13(12), 2011, pgs 1241-48.
  2. Yi S, Nelson PW, Ulsoy AG, PI Control of first order time-delay systems via eigenvalue assignment. American Control Conference, 2011, pp. 4213-4218, San Francisco, CA, USA.
  3. Yi S, Nelson PW, Ulsoy AG, DC Motor Control Using the Lambert W Function Approach, 10-th IFAC Workshop on Time Delay Systems (under review)
  4. Yi S, Nelson PW, Ulsoy AG, The Lambert W Function Approach to Time Delay Systems and the Lambert W_DDE Toolbox, 10-th IFAC Workshop on Time Delay Systems (under review)
  5. Yi S, Ulsoy AG, Nelson PW. Feedback control via Eigenvalue assignment for time delayed systems using the Lambert W Function. Journal of Vibration and Control 2010; (published on-line 2010).
  6. Yi S, Nelson PW, Ulsoy AG. Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment. Journal of Dynamic Systems Measurement and Control 2010; 132:3.27-38.
  7. Nypaver CM, Thornton MM, Yin SM, Brach DO, Nelson PW, Jones AE, Bortz DM Younger JG. Dynamics of human complement-mediated killing of Klebsiella pneumoniae, Am. J. Respir. Cell Mol. Biol., V43(5), 2010, 585.
  8.  Morran M, Casu A, Nelson P, Arena V, Pietropaolo S, Zhang Y, Satin L, Omenn G, Trlcco M, Becker D,and Pietropaolo M. Humoral autoimmunity against multiple extracellular epitopes of the neuroendocrine autoantigen IA-2 heightens the risk of Type 1 Diabetes, Endocrinology,V151, 2010, pgs 2528-37
  9. Yi S. Ulsoy AG, Nelson PW. Design of observer-based feedback control for time-delay systems with application to automotive powertrain control. Journal of Franklin Institute 2010; 347:1:358-376 (invited).
Earlier Papers in chronological order
  1. Perelson AS, Nelson PW. Mathematical Models of HIV-Dynamics in vivo. SIAM Review 1999: 41:1:3-44.
  2. Nelson PW, Murray JD, Perelson AS. A model of HIV pathogenesis that includes an intracellular delay.   Mathematical Biosciences 2000; 163:2:201-215.
  3. Perelson AS, Nelson PW. Modeling Viral Infections. An Introduction to Mathematical Modeling in Physiology, Cell Biology and Immunology 2001; AMS Providence, RI.
    4. Nelson PW, Mittler J, Perelson AS. Effect of drug efficacy and the eclipse phase of the viral life cycle on the estimates of HIV viral dynamic parameters. Journal of Aids 2001; 26:5:405-412.
  4. Nelson P, Hernandez J. Modeling the immune response to parasitic infections: Leishmaniasis and Chagas disease. Comments on Theoretical Biology 2002; 6:2:1-15.
  5. Nelson PW, Perelson AS. Mathematical Analysis of delay differential equations models of HIV-1 infection. Mathematical Biosciences 2002; 179:1:73-94.
  6. Bortz D, Nelson P. Sensitivity Analysis of Nonlinear Lumped Parameter Models of HIV Infection Dynamics. Bulletin of Mathematical Biology 2004; 66:1009-26.
  7. Criminale WO, Jackson TL, Nelson PW. Limit cycle-strange attractor competition. Studies in Applied Mathematics 2004; 112:133-60.  
  8. Forde J, Nelson, P. Applications of Sturm Sequences to Bifurcation Analysis of Delay Differential Equation Models. Journal of Mathematical Analysis and Applications 2004; 300:2:273-284.
  9. Nelson PW, Gilchrist M, Coombs D, Hyman J, Perelson AS. An Age-structured model of HIV infection thatallows for variations in the production rate of viral particles and the death rate of productively infected cells. Mathematical Biosciences and Engineering 2004; 1:2:267-88.
  10. Ciupe S, De Bivort B, Bortz D, Nelson P. Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Mathematical Biosciences 2006; 200:1 – 27.
  11. Bortz D, Nelson, P. Model Selection and Mixed-Effects Modeling of HIV Infection Dynamics. Bulletin of Mathematical Biology 2006; 68:8:2005-25.
  12. Yi S, Ulsoy G, Nelson P. Solution of systems of linear delay differential equations via Laplace Transformations, Proceedings 45th IEEE Conference on Decision and Control 2006;2535-40.
  13. Yi S, Nelson PW, Ulsoy AG. Survey on analysis of time delayed systems via the Lambert W function, Dynamics of Continuous, Discrete and Impulsive Systems (Series A) 2007; 14:s2:296-301. [Also presented at Proc. 5thInt. Conf. on Differential Equations and Dynamical Systems, Edinburg, Texas, Dec. 2006]
  14. Yi S, Nelson PW, Ulsoy AG. Chatter stability analysis using the matrix Lambert function and bifurcation analysis. Proc. International Conference on Manufacturing Science and Engineering 2006; MSEC.
  15. Ciupe S, Ribeiro R, Nelson P, Dusheiko G, Perelson AS. The role of cells refractory to productive infection in acute hepatitis B viral dynamics. Proceedings of the National Academy of Science 2007; 104:5050-55.
  16. Ciupe S, Nelson P, Rubiero R, Perelson A. Modeling the mechanisms of acute hepatitis B virus infection. Journal of Theoretical Biology 2007; 247:1:23-35.
  17. Greineder N, Nelson P, 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 Department’s studies of Sepsis, Academic Emergency Medicine, V14(9), 2007, pgs 763-771
  18. 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 2007; 4:2:355-368.
  19. Yi S, Nelson PW, Ulsoy AG. Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert W Function. Proceedings of the American Control Conference 2007;5631-36.
  20. Yi S, Nelson PW, Ulsoy AG. Feedback control via eigenvalue assignment for time delayed systems using the Lambert W function, in Proc. 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC) IDETC, Las Vegas, NV, Sept. 2007;DETC2007-35711 (invited paper).
  21. Yi S, Nelson PW, Ulsoy AG. Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert Function.IEEE Trans. Aut. Cont. 2008;53:3:854-60.
  22. Yi S, Nelson PW, Ulsoy AG. Eigenvalues and Sensitivity Analysis for a Model of HIV-1 Pathogenesis with an Intracellular Delay. ASME Dynamic Systems and Control Conference, Ann Arbor, MI, Oct. 2008;DSCC2008-2408 (invited paper).
  23. Yi S, Nelson PW, Ulsoy AG. Analysis and control of time delayed systems via the Lambert W function. IFAC 2008;13414-19.
  24. Yi S, Nelson PW, Ulsoy AG. Robust control and time-domain specifications for systems for delay differential equations via eigenvalue assignment. American Control Conference 2008; 4928-33.
  25. Ulsoy AG, Nelson PW. Yi S. Analysis of time delayed systems via Lambert functions. Proc. 2008 NSF CMMI Engineering Research and Innovation Conference, Knoxville, TN. Jan. 2008.
  26. Pietropaolo M, Surhigh J, Nelson P, and Eisenbarth G. Perspectives in Diabetes, Primer: Immunity and Autoimmunity, Diabetes, 2008, pgs 2872-82.
  27. Yi S, Ulsoy AG, Nelson PW. Design of observer-based feedback control for time-delay systems with application to automotive powertrain control. Proc. 2009 ASME Dynamic Systems and Control Conference, Hollywood, CA, Oct. 2009; DSCC2009-2590.
  28. Nelson P, Smith N, Ciupe S, Zou W, Omenn G, and Pietropaolo M. Modeling dynamic fluctuations in type 1 diabetes progression: Quantifying ß-cell variation after the appearance of islet marker antibodies, Mathematical Biosciences and Engineering, V6(4), 2009, pgs 753-78.

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