HIV dynamics: Modeling, data analysis, and optimal treatment protocols

Authors:
B. M. Adams;H. T. Banks;M. Davidian;Hee-Dae Kwon;H. T. Tran;S. N. Wynne;E. S. Rosenberg
Affiliations:
Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Massachusetts General Hospital and Harvard Medical School, I.D. Unit-Gray 5, Fruit Street, Boston, MA 02114, USA
Venue:
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
Year:
2005

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Abstract

We present an overview of some concepts and methodologies we believe useful in modeling HIV pathogenesis. After a brief discussion of motivation for and previous efforts in the development of mathematical models for progression of HIV infection and treatment, we discuss mathematical and statistical ideas relevant to Structured Treatment Interruptions (STI). Among these are model development and validation procedures including parameter estimation, data reduction and representation, and optimal control relative to STI. Results from initial attempts in each of these areas by an interdisciplinary team of applied mathematicians, statisticians and clinicians are presented.