Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment

Mariusz Bodzioch, Marcin Choiński, and Urszula Foryś. "Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment." Mathematica Applicanda 46.1 (2018): null. <http://eudml.org/doc/292558>.

@article{MariuszBodzioch2018,
abstract = {Antiviral therapy for HIV-infected patients has greatly improved in recent years. Administration of drug combinations consisting of two or more different drugs can reduce and maintain virus load below detection level in many patients. Cyclic administration of the immune activator interleukin-2 (IL-2) in combination with highly active antiretroviral therapy (HAART) has been suggested as an effective strategy to realize long-term control of HIV replication in vivo. In this article, we formulate a mathematical model of immune response for HIV-infected individual in the presence of HAART and IL-2. We look  for the conditions under which the immune system recovers by applying IL-2 as an immune activator along with HAART. From analytical point of view this means global stability of the disease-free equilibrium. Comprehensive numerical simulations are presented to illustrate the analytical results.},
author = {Mariusz Bodzioch, Marcin Choiński, Urszula Foryś},
journal = {Mathematica Applicanda},
keywords = {HIV, CD4+T cell, IL-2, HAART therapy, global stability},
language = {eng},
number = {1},
pages = {null},
title = {Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment},
url = {http://eudml.org/doc/292558},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Mariusz Bodzioch
AU - Marcin Choiński
AU - Urszula Foryś
TI - Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 1
SP - null
AB - Antiviral therapy for HIV-infected patients has greatly improved in recent years. Administration of drug combinations consisting of two or more different drugs can reduce and maintain virus load below detection level in many patients. Cyclic administration of the immune activator interleukin-2 (IL-2) in combination with highly active antiretroviral therapy (HAART) has been suggested as an effective strategy to realize long-term control of HIV replication in vivo. In this article, we formulate a mathematical model of immune response for HIV-infected individual in the presence of HAART and IL-2. We look  for the conditions under which the immune system recovers by applying IL-2 as an immune activator along with HAART. From analytical point of view this means global stability of the disease-free equilibrium. Comprehensive numerical simulations are presented to illustrate the analytical results.
LA - eng
KW - HIV, CD4+T cell, IL-2, HAART therapy, global stability
UR - http://eudml.org/doc/292558
ER -