Towards a long-term model construction for the dynamic simulation of HIV infection

This study involves the mathematical modelling of long-term HIV dynamics.The proposed model is able to predict the entire trajectory of the disease:initial viremia in the early weeks of the infection, latency, and progressionto AIDS; a range spanning approximately ten years. The model outcomes were...

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Main Authors: M. Hadjiandreou, Raul Conejeros, Vassilis S. Vassiliadis
Format: Article
Language:English
Published: AIMS Press 2007-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.489
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author M. Hadjiandreou
Raul Conejeros
Vassilis S. Vassiliadis
author_facet M. Hadjiandreou
Raul Conejeros
Vassilis S. Vassiliadis
author_sort M. Hadjiandreou
collection DOAJ
description This study involves the mathematical modelling of long-term HIV dynamics.The proposed model is able to predict the entire trajectory of the disease:initial viremia in the early weeks of the infection, latency, and progressionto AIDS; a range spanning approximately ten years. The model outcomes were comparedto clinical data and significant agreement was achieved. The formulatedmodel considers all important population compartments including macrophages,latently-infected CD4+ T-cells, and cytotoxic T-lymphocytes (CTLs),an attempt which in many respects is novel in the area of HIV modelling.The ranges of the model parameters and initial conditions were obtainedfrom literature, and their values were determined in this work directlyby fitting published clinical data. Furthermore, the simulation resultsemphasize the importance of macrophages in HIV infection and progressionto AIDS and show a clear correlation between the level of CTLs andHIV progression. The ability of the model to correlate analyticaldata gives credibility to its predictions, a fact that will beexploited in future research in modelling immunological and pharmacologicalavenues of treatment.
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spelling doaj-art-b3eb1f666257419cb93fc4b1cb615f2c2025-01-24T01:53:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-04-014348950410.3934/mbe.2007.4.489Towards a long-term model construction for the dynamic simulation of HIV infectionM. Hadjiandreou0Raul Conejeros1Vassilis S. Vassiliadis2Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RADepartment of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RADepartment of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RAThis study involves the mathematical modelling of long-term HIV dynamics.The proposed model is able to predict the entire trajectory of the disease:initial viremia in the early weeks of the infection, latency, and progressionto AIDS; a range spanning approximately ten years. The model outcomes were comparedto clinical data and significant agreement was achieved. The formulatedmodel considers all important population compartments including macrophages,latently-infected CD4+ T-cells, and cytotoxic T-lymphocytes (CTLs),an attempt which in many respects is novel in the area of HIV modelling.The ranges of the model parameters and initial conditions were obtainedfrom literature, and their values were determined in this work directlyby fitting published clinical data. Furthermore, the simulation resultsemphasize the importance of macrophages in HIV infection and progressionto AIDS and show a clear correlation between the level of CTLs andHIV progression. The ability of the model to correlate analyticaldata gives credibility to its predictions, a fact that will beexploited in future research in modelling immunological and pharmacologicalavenues of treatment.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.489macrophagesdynamic simulationlong-term dynamicshiv modellingctls.
spellingShingle M. Hadjiandreou
Raul Conejeros
Vassilis S. Vassiliadis
Towards a long-term model construction for the dynamic simulation of HIV infection
Mathematical Biosciences and Engineering
macrophages
dynamic simulation
long-term dynamics
hiv modelling
ctls.
title Towards a long-term model construction for the dynamic simulation of HIV infection
title_full Towards a long-term model construction for the dynamic simulation of HIV infection
title_fullStr Towards a long-term model construction for the dynamic simulation of HIV infection
title_full_unstemmed Towards a long-term model construction for the dynamic simulation of HIV infection
title_short Towards a long-term model construction for the dynamic simulation of HIV infection
title_sort towards a long term model construction for the dynamic simulation of hiv infection
topic macrophages
dynamic simulation
long-term dynamics
hiv modelling
ctls.
url https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.489
work_keys_str_mv AT mhadjiandreou towardsalongtermmodelconstructionforthedynamicsimulationofhivinfection
AT raulconejeros towardsalongtermmodelconstructionforthedynamicsimulationofhivinfection
AT vassilissvassiliadis towardsalongtermmodelconstructionforthedynamicsimulationofhivinfection