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ON MODELING HIV INFECTION OF CD4+ T CELLS

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Date Issued:
2006
Abstract/Description:
We examine an early model for the interaction of HIV with CD4+ T cells in vivo and define possible parameters and effects of said parameters on the model. We then examine a newer, more simplified model for the interaction of HIV with CD4+ T cells that also considers four populations: uninfected T cells, latently infected T cells, actively infected T cells, and free virus. The stability of both the disease free steady state and the endemically infected steady state are examined utilizing standard methods and the Routh-Hurwitz criteria. We show that if N, the number of infectious virions produced per actively infected T cell, is less than a critical value, , then the uninfected state is the only steady state in the non negative orthant, and this state is stable. We establish an expression for . If , then the uninfected steady state is unstable, and the endemically infected state can be stable or unstable, depending on the value of the parameters utilized.
Title: ON MODELING HIV INFECTION OF CD4+ T CELLS.
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Name(s): Comerford, Amy, Author
Mohapatra, Ram, Committee Chair
University of Central Florida, Degree Grantor
Type of Resource: text
Date Issued: 2006
Publisher: University of Central Florida
Language(s): English
Abstract/Description: We examine an early model for the interaction of HIV with CD4+ T cells in vivo and define possible parameters and effects of said parameters on the model. We then examine a newer, more simplified model for the interaction of HIV with CD4+ T cells that also considers four populations: uninfected T cells, latently infected T cells, actively infected T cells, and free virus. The stability of both the disease free steady state and the endemically infected steady state are examined utilizing standard methods and the Routh-Hurwitz criteria. We show that if N, the number of infectious virions produced per actively infected T cell, is less than a critical value, , then the uninfected state is the only steady state in the non negative orthant, and this state is stable. We establish an expression for . If , then the uninfected steady state is unstable, and the endemically infected state can be stable or unstable, depending on the value of the parameters utilized.
Identifier: CFE0001093 (IID), ucf:46769 (fedora)
Note(s): 2006-05-01
M.S.
Arts and Sciences, Department of Mathematics
Masters
This record was generated from author submitted information.
Subject(s): HIV
T cell
Modeling
Equilibrium Points
Persistent Link to This Record: http://purl.flvc.org/ucf/fd/CFE0001093
Restrictions on Access: campus 2007-01-31
Host Institution: UCF

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