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A mathematical study on immune activation and related dynamics in HIV infection

A mathematical study on immune activation and related dynamics in HIV infection
A mathematical study on immune activation and related dynamics in HIV infection
Over decades, mathematical models have been applied successfully to the investigation of HIV dynamics. However, few of these investigations are able to explain the observation that host (CD4+ T) cell counts reduce, while viral load increases as the infection progresses. Various clinical studies of HIV infection have suggested that high T-cell activation levels are positively correlated with rapid disease development in untreated patients. This activation might be a major reason for the depletion of CD4+ T cells observed in most cases of long term untreated HIV infection. In this paper, we use a simple mathematical model to investigate immune activation and its role in HIV infection. Under reasonable assumptions relating to various HIV infection constants, we show that enhanced activation and reduced reversion in the immune system do result in depleted CD4+ T cell count. We further show that this process is robust to parameter variations. An extended model including viral dynamics illustrates the effects of immune activation on viral persistence and immune response. Simulations are given to verify the theoretical analysis.

Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Hernandez-Vargas, Esteban A.
e4711709-4931-4937-b13a-f94f543bc257
Middleton, Richard H.
47c2c129-f944-4d76-ba77-9a32b97d1066
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Hernandez-Vargas, Esteban A.
e4711709-4931-4937-b13a-f94f543bc257
Middleton, Richard H.
47c2c129-f944-4d76-ba77-9a32b97d1066

Shu, Zhan, Hernandez-Vargas, Esteban A. and Middleton, Richard H. (2011) A mathematical study on immune activation and related dynamics in HIV infection. 2011 50th IEEE Conference on Decision and Control and, Orlando, United States. 12 - 15 Dec 2011. (doi:10.1109/CDC.2011.6160254).

Record type: Conference or Workshop Item (Paper)

Abstract

Over decades, mathematical models have been applied successfully to the investigation of HIV dynamics. However, few of these investigations are able to explain the observation that host (CD4+ T) cell counts reduce, while viral load increases as the infection progresses. Various clinical studies of HIV infection have suggested that high T-cell activation levels are positively correlated with rapid disease development in untreated patients. This activation might be a major reason for the depletion of CD4+ T cells observed in most cases of long term untreated HIV infection. In this paper, we use a simple mathematical model to investigate immune activation and its role in HIV infection. Under reasonable assumptions relating to various HIV infection constants, we show that enhanced activation and reduced reversion in the immune system do result in depleted CD4+ T cell count. We further show that this process is robust to parameter variations. An extended model including viral dynamics illustrates the effects of immune activation on viral persistence and immune response. Simulations are given to verify the theoretical analysis.

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Published date: December 2011
Venue - Dates: 2011 50th IEEE Conference on Decision and Control and, Orlando, United States, 2011-12-12 - 2011-12-15
Organisations: Mechatronics

Identifiers

Local EPrints ID: 336267
URI: http://eprints.soton.ac.uk/id/eprint/336267
PURE UUID: cd8817c7-9f7b-4dfa-a518-54c58a98ecdc
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

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Date deposited: 21 Mar 2012 15:31
Last modified: 14 Mar 2024 10:40

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Contributors

Author: Zhan Shu ORCID iD
Author: Esteban A. Hernandez-Vargas
Author: Richard H. Middleton

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