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D M Bortz
From MathBIO
David Bortz
David Bortz
Assistant Professor
Office hours: ECOT 234
Phone: (303) 492-7569
Email: dmbortz at colorado dot edu
Applied Mathematics
University of Colorado
Box 526
Boulder, CO 80309-0526
Students:
Current Research Projects:
Spring 2010 Teaching
Publications
Articles
- H. Chung, M. M. Cartwright, D. M. Bortz, T. L. Jackson, and J. G. Younger, Dynamical System Analysis of Staphylococcus epidermidis Bloodstream Infection, SHOCK, to appear.
- D. M. Bortz, T. L. Jackson, K. A. Taylor, A. P. Thompson, and J. G. Younger, Klebsiella pneumoniae flocculation dynamics, Bulletin of Mathematical Biology, 70(3):745-768, April 2008.
- D. M. Bortz and P. W. Nelson, Model selection and mixed-effects modeling of HIV infection dynamics, Bulletin of Mathematical Biology, 68(8):2005-2025, November 2006.
- S. Ciupe, B. L. Bivort, D. M. Bortz, and P. W. Nelson, Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models, Mathematical Biosciences, 200(1):1-27, March 2006.
- I. Ben-David, S. E. Price, D. M. Bortz, S. Cohen, A. L. Bauer, T. L. Jackson, and J. G. Younger, Dynamics of intrapulmonary bacterial growth in a murine model of repeated microaspirations, American Journal of Respiratory Cell and Molecular Biology, 33(5):476-482, November 2005.
- H. T. Banks and D. M. Bortz, A parameter sensitivity methodology in the context of HIV delay equation models, Journal of Mathematical Biology, 50(6):607-625, June 2005.
- H. T. Banks and D. M. Bortz, Inverse Problems for a Class of Measure Dependent Dynamical Systems, Journal of Inverse and Ill-posed Problems, 13(2):103-121, April 2005.
- D. M. Bortz and P. W. Nelson, Sensitivity analysis of nonlinear lumped parameter models of HIV infection dynamics, Bulletin of Mathematical Biology, 66(5):1009-1026, September 2004.
- H. T. Banks, D. M. Bortz, G. A. Pinter, and L. K. Potter, Chapter 6: Modeling and imaging techniques with potential for applications in bioterrorism. In H. T. Banks and C. Castillo-Chavez, editors, Bioterrorism: Mathematical Modeling Applications in Homeland Security, volume 28 of Frontiers in Applied Mathematics, pages 129-154, SIAM, Phildelphia, PA, 2003.
- H. T. Banks, D. M. Bortz, and S. E. Holte, Incorporation of variability into the mathematical modeling of viral delays in HIV infection dynamics, Mathematical Biosciences, 183(1):63-91, May 2003.
- D. M. Bortz, Modeling, Analysis, and Estimation of an in vitro HIV Infection Using Functional Differential Equations, Ph.D. dissertation, North Carolina State University, Raleigh, NC, 2002.
- D. M. Bortz, A. D. Rubio, H. T. Banks, A. B. Cain, and R. C. Smith, Control of open bay acoustics by harmonic mass injection, International Journal of Aeroacoustics, 1(1), 65-81, March 2002.
- D. M. Bortz and C. T. Kelley, The simplex gradient and noisy optimization problems. In J. T. Borggaard, J. Burns, E. Cliff, and S. Schreck, editors, Computational Methods in Optimal Design and Control, volume 24 of Progress in Systems and Control Theory, Birkhauser, 1998, pp. 77-90.
- I. Ambats, D. Bortz, A. Connolly, A. Derlicki, M. Derrick, W. Kahle, and J. Thron, Studies of Hadron-Electron Separators for the ZEUS Barrel Calorimeter, Nuclear Instruments and Methods in Physics Research Section A, 368(2), 364-377, 1996.
Other Publications
- J. G. Younger, H. Y. Chung, M. Cartwright, D. M. Bortz, and T. L. Jackson, Neutropenic S-epidermidis bacteremia modeled as a pharmacodynamic system, SHOCK, 27(Supplement 1):68-69, June 2007.
- H. Chung, T. L. Jackson, D. M. Bortz, M. Cartwright, and J. G. Younger, Multiple-compartment bacterial clearance kinetics during murine bacteremia, Journal of Critical Care, 21(4):359-360, December 2006.
- D. M. Bortz, T. L. Jackson, and J. G. Younger, Estimation and identification of Klebsiella pneumoniae flocculation dynamics, In H. T. Banks, A. Hasanov, S. I. Kabanikhin, and K. Kunisch, editors, Abstracts of the International Conference Inverse Problems: Modeling and Simulation, pages 15-17, 2006.
- I. Ben-David, S. E. Price, S. Cohen, D. M. Bortz, T. L. Jackson, and J. G. Younger, Complement C3 is necessary for early suppression of intrapulmonary bacterial growth, SHOCK, 23(Supplement 3):79-80, June 2005.
- A. L. Bauer, D. M. Bortz, D. Gammack, I. Ben-David, A. Stein, T. L. Jackson, and J. G. Younger, Virulence of Klebsiella pneumoniae predicted by nonlinear biodistributive mathematical model, SHOCK, 21(Supplement 2):29,2004.
- D. M. Bortz, R. Guy, J. Hood, K. Kirkpatrick, V. Nguyen, and V. Shimanovich, Modeling HIV infection dynamics using delay equations, In P. A. Gremaud, Z. Li, R. C. Smith, and H. T. Tran, editors, Proceedings of the 2000 Industrial Mathematics Modeling Workshop for Graduate Students, pages 48-58. Technical Report CRSC-TR00-24, Center for Research in Scientific Computation, N. C. State University, Raleigh, NC, October 2000.
- D. M. Bortz, A. D. Rubio, H. T. Banks, A. B. Cain, and R. C. Smith, Reduced Order Modeling in Control of Open Cavity Acoustics, Tech. Report CRSC-TR00-18, Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, July 2000.
- A. B. Cain, A. D. Rubio, D. M. Bortz, H. T. Banks, and R. C. Smith, Optimizing control of open bay acoustics, Tech. Report CRSC-TR00-09, Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, May 2000.
- A. S. Bondarenko, D. M. Bortz, and J. J. Moré, COPS: Large-scale nonlinearly constrained optimization problems, Tech. Report ANL/MCS-TM-237, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, September 1998, revised October 1999.
- P. Barnes, D. M. Bortz, S. Frank, I. Loladze, E. Packard, and M. Santhanam, Power transformer clearance checking, In F. Reitich, J. S. Scroggs, and H. T. Tran, editors, Proceedings of the 1997 Industrial Mathematics Modeling Workshop for Graduate Students. Technical Report CRSC-TR98-09, Center for Research in Scientific Computation, N. C. State University, Raleigh, NC, February, 1998.
Calendars
Mathbio Group
Teaching Schedule
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