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Math Biosci. 2002 Jul-Aug;179(1):73-94.

Mathematical analysis of delay differential equation models of HIV-1 infection.

Author information

1
Department of Mathematics, The University of Michigan, 525 E. University, 3071 E. Hall, Ann Arbor, MI 48109-1109, USA. pwn@math.lsa.umich.edu

Abstract

Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays. We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells. We show that when the drug efficacy is less than perfect the estimated value of the loss rate of productively infected T cells, delta, is increased when data is fit with delay models compared to the values estimated with a non-delay model. We provide a mathematical justification for this increased value of delta. We also provide some general results on the stability of non-linear delay differential equation infection models.

PMID:
12047922
[Indexed for MEDLINE]

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