HIV dynamics: Modeling,data analysis,and optimal treatment protocols |
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| Affiliation: | 1. Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;2. Massachusetts General Hospital and Harvard Medical School, I.D. Unit-Gray 5, Fruit Street, Boston, MA 02114, USA;1. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia and Mathematics Department, University College Chester, Chester, UK;2. Mathematics & Statistics Department, Memorial University of Newfoundland, St. John''s, Newfoundland, Canada;3. Department of Physiology and Pharmacology, Sackler Faculty of Medicine, Tel-Aviv University, Tel Aviv, Israel and Laboratory of Immunology, National Institute of Allergy and Infectious Diseases, National Institutes of Health, Bethesda MD, USA |
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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. |
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