Dynamics of HIV infection of CD4\(^ +\) T cells
type: Item
instance of: scholarly article
title: Dynamics of HIV infection of CD4\(^ +\) T cells
zbMATH Open document ID: 0796.92016
DOI: 10.1016/0025-5564(93)90043-A
author: Alan S. Perelson
author: Denise E. Kirschner
author: Rob J. De Boer
published in: Mathematical Biosciences
publication date: 1993-06-29T00:00:00Z
review text: The paper examines a model for the interaction of HIV with \(\text{CD4}^ +\) T cells that considers four populations: uninfected T cells, latently infected T cells, actively infected T cells, and free virus. The proposed dynamical model for T-cell depletion due to HIV infection: (a) does not account for the immune response to HIV infection or mechanisms of cell death other than direct HIV-mediating killing, (b) proves that HIV by itself can cause partial \(\text{CD4}^ +\) T-cell depletion in the face of normal T-cell replenishment, and (c) demonstrates that the loss of T cells can take place on a time scale of years, as it is characteristic of the disease process in most HIV-infected individuals. The model exhibits two steady states, an uninfected state in which no virus is present, and an endemically infected state, in which virus and infected T cells are present. The dynamic behaviour of these steady states is examined by differential equations and numerical analysis techniques.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 219753
zbMATH Keywords: dynamics of HIV infection
zbMATH Keywords: T-cell depletion
zbMATH Keywords: immune response
zbMATH Keywords: T-cell replenishment
zbMATH Keywords: differential equations
zbMATH Keywords: numerical analysis
MaRDI profile type: Publication
Wikidata QID: Q52400530
cites work: Q4749133
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description: scientific article; zbMATH DE number 219753