Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS

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In our work we conducted a study for solving differential equations an application to modeling in a particular case of the biopharmaceutical sector, which was necessary at the time realize the importance of the application of this drug in a disease that became a pandemic Worldwide. In this problem t...

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Detalles Bibliográficos
Autores: Rodríguez González, Ihosvany, Bermudez Peña, Anié
Formato: artículo
Fecha de Publicación:2020
Institución:Universidad La Salle
Repositorio:Revistas - Universidad La Salle
Lenguaje:español
OAI Identifier:oai:ojs.revistas.ulasalle.edu.pe:article/12
Enlace del recurso:https://revistas.ulasalle.edu.pe/innosoft/article/view/12
https://doi.org/10.48168/innosoft.s1.a12
https://purl.org/42411/s1/a12
https://n2t.net/ark:/42411/s1/a12
Nivel de acceso:acceso abierto
Materia:AZT drug
MATLAB
numerical methods
fármaco AZT
métodos numéricos
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spelling Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDSAplicación de métodos numéricos utilizando MATLAB al modelado del fármaco AZT y la supervivencia con SIDARodríguez González, IhosvanyBermudez Peña, AniéAZT drugMATLABnumerical methodsfármaco AZTMATLABmétodos numéricosIn our work we conducted a study for solving differential equations an application to modeling in a particular case of the biopharmaceutical sector, which was necessary at the time realize the importance of the application of this drug in a disease that became a pandemic Worldwide. In this problem the impact of zidovudine (azidothymidine or AZT) described on the survival of those who develop acquired immunodeficiency syndrome (AIDS) infection with the Human Immunodeficiency Virus. For the solution of this model it is has an ordinary differential equation of first order with initial values on which the separation of variables is applied to obtain the real solution analytically and apply numerical methods 3 (Euler, Improved Euler and Runge Kuta 4) using MATLAB mathematical wizard to calculate approximate solutions. Finally, we show the results of the methods, the absolute and relative errors of each and a comparison with the analytical solution and their respective tables and graphs.En la presente investigación se realiza un estudio para la resolución de ecuaciones diferenciales de una aplicación al modelado en un caso concreto del sector Biofarmacéutico, que fue necesario en su momento realizarlo por la importancia de la aplicación de este medicamento en una enfermedad que se convirtió en una pandemia a nivel mundial. En este problema se describe el impacto de la cidovudina (acidotimidina o AZT) sobre la supervivencia de quienes desarrollan el síndrome de inmunodeficiencia adquirida (SIDA) por infección con el Virus de la Inmunodeficiencia Humana. Para la solución de este modelo se cuenta con una ecuación diferencial ordinaria de primer orden con valores iniciales sobre la cual se aplica el método de separación de variables para obtener la solución real de forma analítica. Se aplican tres métodos numéricos (Euler, Euler Mejorado y Runge Kuta 4) usando el asistente matemático MATLAB para calcular las soluciones aproximadas. Finalmente se muestran los resultados de los métodos, los errores absolutos y relativos de cada uno y la comparación con la solución analítica, con sus respectivas tablas y gráficas.Universidad La Salle2020-03-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionJournal paperArtículos originalesapplication/pdftext/htmlhttps://revistas.ulasalle.edu.pe/innosoft/article/view/12https://doi.org/10.48168/innosoft.s1.a12https://purl.org/42411/s1/a12https://n2t.net/ark:/42411/s1/a12Innovation and Software; Vol 1 No 1 (2020): March - August; 26-38Innovación y Software; Vol. 1 Núm. 1 (2020): Marzo - Agosto; 26-382708-09352708-0927https://doi.org/10.48168/innosoft.s1https://purl.org/42411/s1https://n2t.net/ark:/42411/s1reponame:Revistas - Universidad La Salleinstname:Universidad La Salleinstacron:USALLEspahttps://revistas.ulasalle.edu.pe/innosoft/article/view/12/3https://revistas.ulasalle.edu.pe/innosoft/article/view/12/7https://purl.org/42411/s1/a12/g3https://purl.org/42411/s1/a12/g7https://n2t.net/ark:/42411/s1/a12/g3https://n2t.net/ark:/42411/s1/a12/g7Derechos de autor 2020 Innovación y Softwarehttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.ulasalle.edu.pe:article/122025-07-03T08:01:45Z
dc.title.none.fl_str_mv Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
Aplicación de métodos numéricos utilizando MATLAB al modelado del fármaco AZT y la supervivencia con SIDA
title Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
spellingShingle Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
Rodríguez González, Ihosvany
AZT drug
MATLAB
numerical methods
fármaco AZT
MATLAB
métodos numéricos
title_short Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
title_full Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
title_fullStr Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
title_full_unstemmed Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
title_sort Application of numerical methods with MATLAB for modelling the AZT drug and the survival by AIDS
dc.creator.none.fl_str_mv Rodríguez González, Ihosvany
Bermudez Peña, Anié
author Rodríguez González, Ihosvany
author_facet Rodríguez González, Ihosvany
Bermudez Peña, Anié
author_role author
author2 Bermudez Peña, Anié
author2_role author
dc.subject.none.fl_str_mv AZT drug
MATLAB
numerical methods
fármaco AZT
MATLAB
métodos numéricos
topic AZT drug
MATLAB
numerical methods
fármaco AZT
MATLAB
métodos numéricos
description In our work we conducted a study for solving differential equations an application to modeling in a particular case of the biopharmaceutical sector, which was necessary at the time realize the importance of the application of this drug in a disease that became a pandemic Worldwide. In this problem the impact of zidovudine (azidothymidine or AZT) described on the survival of those who develop acquired immunodeficiency syndrome (AIDS) infection with the Human Immunodeficiency Virus. For the solution of this model it is has an ordinary differential equation of first order with initial values on which the separation of variables is applied to obtain the real solution analytically and apply numerical methods 3 (Euler, Improved Euler and Runge Kuta 4) using MATLAB mathematical wizard to calculate approximate solutions. Finally, we show the results of the methods, the absolute and relative errors of each and a comparison with the analytical solution and their respective tables and graphs.
publishDate 2020
dc.date.none.fl_str_mv 2020-03-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Journal paper
Artículos originales
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.ulasalle.edu.pe/innosoft/article/view/12
https://doi.org/10.48168/innosoft.s1.a12
https://purl.org/42411/s1/a12
https://n2t.net/ark:/42411/s1/a12
url https://revistas.ulasalle.edu.pe/innosoft/article/view/12
https://doi.org/10.48168/innosoft.s1.a12
https://purl.org/42411/s1/a12
https://n2t.net/ark:/42411/s1/a12
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.ulasalle.edu.pe/innosoft/article/view/12/3
https://revistas.ulasalle.edu.pe/innosoft/article/view/12/7
https://purl.org/42411/s1/a12/g3
https://purl.org/42411/s1/a12/g7
https://n2t.net/ark:/42411/s1/a12/g3
https://n2t.net/ark:/42411/s1/a12/g7
dc.rights.none.fl_str_mv Derechos de autor 2020 Innovación y Software
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2020 Innovación y Software
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv Universidad La Salle
publisher.none.fl_str_mv Universidad La Salle
dc.source.none.fl_str_mv Innovation and Software; Vol 1 No 1 (2020): March - August; 26-38
Innovación y Software; Vol. 1 Núm. 1 (2020): Marzo - Agosto; 26-38
2708-0935
2708-0927
https://doi.org/10.48168/innosoft.s1
https://purl.org/42411/s1
https://n2t.net/ark:/42411/s1
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