D M Bortz

Summary

Affiliation: University of Colorado
Country: USA

Publications

  1. ncbi request reprint Klebsiella pneumoniae flocculation dynamics
    D M Bortz
    Department of Applied Mathematics, University of Colorado, Boulder, CO 80309 0526, USA
    Bull Math Biol 70:745-68. 2008
  2. ncbi request reprint Incorporation of variability into the modeling of viral delays in HIV infection dynamics
    H T Banks
    Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695 8205, USA
    Math Biosci 183:63-91. 2003
  3. ncbi request reprint Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics
    D M Bortz
    Department of Mathematics, University of Michigan, 2074 East Hall, 525 East University Avenue, Ann Arbor, MI 48109 1109, USA
    Bull Math Biol 66:1009-26. 2004
  4. ncbi request reprint A parameter sensitivity methodology in the context of HIV delay equation models
    H T Banks
    Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695 8205, USA
    J Math Biol 50:607-25. 2005

Detail Information

Publications4

  1. ncbi request reprint Klebsiella pneumoniae flocculation dynamics
    D M Bortz
    Department of Applied Mathematics, University of Colorado, Boulder, CO 80309 0526, USA
    Bull Math Biol 70:745-68. 2008
    ..We generate artificial data and illustrate the requirements to accurately identify proliferation, aggregation, and fragmentation of flocs in the experimental domain of interest...
  2. ncbi request reprint Incorporation of variability into the modeling of viral delays in HIV infection dynamics
    H T Banks
    Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695 8205, USA
    Math Biosci 183:63-91. 2003
    ..We also show that the models are quite sensitive to the mean of the distribution which describes the delay in viral production, whereas the variance of this distribution has relatively little impact...
  3. ncbi request reprint Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics
    D M Bortz
    Department of Mathematics, University of Michigan, 2074 East Hall, 525 East University Avenue, Ann Arbor, MI 48109 1109, USA
    Bull Math Biol 66:1009-26. 2004
    ..The results support the claim that the presence of a nonzero delay has a major impact on the model dynamics. Lastly, we comment upon the inadequacies of an alternative principle component based analysis...
  4. ncbi request reprint A parameter sensitivity methodology in the context of HIV delay equation models
    H T Banks
    Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695 8205, USA
    J Math Biol 50:607-25. 2005
    ..A sensitivity methodology for nonlinear delay systems arising in one class of cellular HIV infection models is presented. Theoretical foundations for a typical sensitivity investigation and illustrative computations are given...