A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People

A multi-scale mathematical model is proposed, seeking to describe the propagation of Human Immunodeficiency Virus (HIV) in a group of young people between 15 and 24 years of age, through unprotected sexual contact. The uses of antiretroviral therapy (ART) and therapeutic failure are considered to sh...

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Autores principales:	Sol de Amor Vásquez-Quintero, Hernán Darío Toro-Zapata, Dennis Alexánder Prieto-Medellín
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	multi-scale model system of differential equations HIV propagation complex network basic reproduction number antiretroviral therapy Chemical technology TP1-1185 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/c0b3531f9eab49e3ba2874c33d39fff3
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spelling	oai:doaj.org-article:c0b3531f9eab49e3ba2874c33d39fff32021-11-25T18:50:28ZA Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People10.3390/pr91119242227-9717https://doaj.org/article/c0b3531f9eab49e3ba2874c33d39fff32021-10-01T00:00:00Zhttps://www.mdpi.com/2227-9717/9/11/1924https://doaj.org/toc/2227-9717A multi-scale mathematical model is proposed, seeking to describe the propagation of Human Immunodeficiency Virus (HIV) in a group of young people between 15 and 24 years of age, through unprotected sexual contact. The uses of antiretroviral therapy (ART) and therapeutic failure are considered to show how the rate of propagation and prevalence are affected. The model consists of a complex network modeling the interactions on the population scale, coupled with the immunological dynamics of each individual, which is modeled by a system of differential equations. The immunological model allows to observe some known facts from the literature, such as to control HIV infection in the immune system, it is necessary to reduce the probability of healthy CD4 T cells becoming infected or increase the probability at which cells of the specific cell response against HIV eliminate infected CD4 T cells. At the population level, it is shown that, to have a high prevalence, it is not necessary for the virus to spread rapidly at the beginning of the simulation time. Additionally, it is observed that a greater number of sexual partners induces higher HIV prevalence. Using ART in the immune system reduces the number of infected CD4 T cells and, consequently, helps to reduce the spread of infection at the population scale. An important result observed in simulations is that the average number of HIV carriers who abandon ART is greater than those who access it. The study adds to the available literature an original simulation model that describes the dynamics of HIV propagation in a population, considering the immune state of people within that population, and serves as a basis for future research involving more detailed aspects aiming for a model closest to reality.Sol de Amor Vásquez-QuinteroHernán Darío Toro-ZapataDennis Alexánder Prieto-MedellínMDPI AGarticlemulti-scale modelsystem of differential equationsHIV propagationcomplex networkbasic reproduction numberantiretroviral therapyChemical technologyTP1-1185ChemistryQD1-999ENProcesses, Vol 9, Iss 1924, p 1924 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multi-scale model system of differential equations HIV propagation complex network basic reproduction number antiretroviral therapy Chemical technology TP1-1185 Chemistry QD1-999
spellingShingle	multi-scale model system of differential equations HIV propagation complex network basic reproduction number antiretroviral therapy Chemical technology TP1-1185 Chemistry QD1-999 Sol de Amor Vásquez-Quintero Hernán Darío Toro-Zapata Dennis Alexánder Prieto-Medellín A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
description	A multi-scale mathematical model is proposed, seeking to describe the propagation of Human Immunodeficiency Virus (HIV) in a group of young people between 15 and 24 years of age, through unprotected sexual contact. The uses of antiretroviral therapy (ART) and therapeutic failure are considered to show how the rate of propagation and prevalence are affected. The model consists of a complex network modeling the interactions on the population scale, coupled with the immunological dynamics of each individual, which is modeled by a system of differential equations. The immunological model allows to observe some known facts from the literature, such as to control HIV infection in the immune system, it is necessary to reduce the probability of healthy CD4 T cells becoming infected or increase the probability at which cells of the specific cell response against HIV eliminate infected CD4 T cells. At the population level, it is shown that, to have a high prevalence, it is not necessary for the virus to spread rapidly at the beginning of the simulation time. Additionally, it is observed that a greater number of sexual partners induces higher HIV prevalence. Using ART in the immune system reduces the number of infected CD4 T cells and, consequently, helps to reduce the spread of infection at the population scale. An important result observed in simulations is that the average number of HIV carriers who abandon ART is greater than those who access it. The study adds to the available literature an original simulation model that describes the dynamics of HIV propagation in a population, considering the immune state of people within that population, and serves as a basis for future research involving more detailed aspects aiming for a model closest to reality.
format	article
author	Sol de Amor Vásquez-Quintero Hernán Darío Toro-Zapata Dennis Alexánder Prieto-Medellín
author_facet	Sol de Amor Vásquez-Quintero Hernán Darío Toro-Zapata Dennis Alexánder Prieto-Medellín
author_sort	Sol de Amor Vásquez-Quintero
title	A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
title_short	A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
title_full	A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
title_fullStr	A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
title_full_unstemmed	A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
title_sort	multi-scale model for the spread of hiv in a population considering the immune status of people
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c0b3531f9eab49e3ba2874c33d39fff3
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A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People

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