2002-NelsonPerelsoin-Delay Differential Equation Models HIV-1 Infection

By Brian Winkel

SIMIODE, Cornwall NY USA

Download (PDF)

Licensed according to this deed.

Published on

Abstract

Nelson, P. W. and A. S. Perelson. 2002. Mathematical analysis of delay differential equations models of HIB-1 infection. Mathematical Biosciences. 179: 73-94.

 

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, d, 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.

 

Keywords: delay, differential equation, model, HIV, infection, T cell,

Cite this work

Researchers should cite this work as follows:

  • Brian Winkel (2017), "2002-NelsonPerelsoin-Delay Differential Equation Models HIV-1 Infection," https://simiode.org/resources/3993.

    BibTex | EndNote

Tags

Footer - a work in progress.