An intracellular delay-differential equation model of the HIV infection and immune control

Previous work has shown that intracellular delay needs to be taken into account to accurately determine the half-life of free virus from drug perturbation experiments [1]. The delay also effects the estimated value for the infected T-cell loss rate when we assume that the drug is not completely effe...

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Main Authors: T. Dumrongpokaphan, Y. Lenbury, R. Ouncharoen, Y. Xu
Other Authors: Chiang Mai University
Format: Article
Published: 2018
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/24622
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spelling th-mahidol.246222018-08-24T08:56:39Z An intracellular delay-differential equation model of the HIV infection and immune control T. Dumrongpokaphan Y. Lenbury R. Ouncharoen Y. Xu Chiang Mai University Mahidol University Syracuse University Mathematics Previous work has shown that intracellular delay needs to be taken into account to accurately determine the half-life of free virus from drug perturbation experiments [1]. The delay also effects the estimated value for the infected T-cell loss rate when we assume that the drug is not completely effective [19]. Models of virus infection that include intracellular delay are more accurate representations of the biological data. We analyze a non-linear model of the human immunodeficiency virus (HIV) infection that considers the interaction between a replicating virus, CD4+ T-cell and the cytotoxic-lymphocytes (CTL).We then investigate the intracellular delay effect on the stability of the endemically infected steady state. Criteria are given to ensure that the infected steady state is asymptotically stable for all delays. Model analysis also allows the prediction of a critical delay τcbelow which the effector CTL can play a significant role in the immune control mechanism even when the basic reproduction number is high. © 2007 EDP Sciences. 2018-08-24T01:56:39Z 2018-08-24T01:56:39Z 2007-01-01 Article Mathematical Modelling of Natural Phenomena. Vol.2, No.1 (2007), 84-112 10.1051/mmnp:2008012 17606101 09735348 2-s2.0-78650722493 https://repository.li.mahidol.ac.th/handle/123456789/24622 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650722493&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
T. Dumrongpokaphan
Y. Lenbury
R. Ouncharoen
Y. Xu
An intracellular delay-differential equation model of the HIV infection and immune control
description Previous work has shown that intracellular delay needs to be taken into account to accurately determine the half-life of free virus from drug perturbation experiments [1]. The delay also effects the estimated value for the infected T-cell loss rate when we assume that the drug is not completely effective [19]. Models of virus infection that include intracellular delay are more accurate representations of the biological data. We analyze a non-linear model of the human immunodeficiency virus (HIV) infection that considers the interaction between a replicating virus, CD4+ T-cell and the cytotoxic-lymphocytes (CTL).We then investigate the intracellular delay effect on the stability of the endemically infected steady state. Criteria are given to ensure that the infected steady state is asymptotically stable for all delays. Model analysis also allows the prediction of a critical delay τcbelow which the effector CTL can play a significant role in the immune control mechanism even when the basic reproduction number is high. © 2007 EDP Sciences.
author2 Chiang Mai University
author_facet Chiang Mai University
T. Dumrongpokaphan
Y. Lenbury
R. Ouncharoen
Y. Xu
format Article
author T. Dumrongpokaphan
Y. Lenbury
R. Ouncharoen
Y. Xu
author_sort T. Dumrongpokaphan
title An intracellular delay-differential equation model of the HIV infection and immune control
title_short An intracellular delay-differential equation model of the HIV infection and immune control
title_full An intracellular delay-differential equation model of the HIV infection and immune control
title_fullStr An intracellular delay-differential equation model of the HIV infection and immune control
title_full_unstemmed An intracellular delay-differential equation model of the HIV infection and immune control
title_sort intracellular delay-differential equation model of the hiv infection and immune control
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/24622
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