An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control

Dumrongpokaphan, T., et al. "An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control." Mathematical Modelling of Natural Phenomena 2.1 (2010): 84-112. <http://eudml.org/doc/222283>.

@article{Dumrongpokaphan2010,
abstract = { 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 $\tau_c$ below which the effector CTL can play a significant role in the immune control mechanism even when the basic reproduction number is high. },
author = {Dumrongpokaphan, T., Lenbury, Y., Ouncharoen, R., Xu, Y.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {delay system; CD4+T-cell; the HIV infection and immune control},
language = {eng},
month = {3},
number = {1},
pages = {84-112},
publisher = {EDP Sciences},
title = {An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control},
url = {http://eudml.org/doc/222283},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Dumrongpokaphan, T.
AU - Lenbury, Y.
AU - Ouncharoen, R.
AU - Xu, Y.
TI - An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 2
IS - 1
SP - 84
EP - 112
AB - 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 $\tau_c$ below which the effector CTL can play a significant role in the immune control mechanism even when the basic reproduction number is high.
LA - eng
KW - delay system; CD4+T-cell; the HIV infection and immune control
UR - http://eudml.org/doc/222283
ER -