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ON MODELING HIV INFECTION OF CD4+ T CELLS
| 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 |
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| 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. |
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| Subject(s): |
HIV T cell Modeling Equilibrium Points |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0001093 | |
| Restrictions on Access: | campus 2007-01-31 | |
| Host Institution: | UCF |
