First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction

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In this research was studied the interaction from a mathematical point of the human immune system T cells: naive and voters, with chronic myelogenous leukemia cells. (CML). This interaction was known through a system of nonlinear ordinary differential equations that describe the instantaneous variat...

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Detalles Bibliográficos
Autores: Rodas Cabanillas, José Luis, Sánchez García, Dolores
Formato: artículo
Fecha de Publicación:2016
Institución:Universidad César Vallejo
Repositorio:Revistas - Universidad César Vallejo
Lenguaje:español
OAI Identifier:oai:oai.revistas.ucv.edu.pe:article/760
Enlace del recurso:http://revistas.ucv.edu.pe/index.php/ucv-hacer/article/view/760
Nivel de acceso:acceso abierto
Materia:Células T
Leucemia mielógena
T cells
Myelogenous leukemia
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spelling First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interactionSistema de ecuaciones diferenciales de primer orden que describen la interacción de las células T y la leucemia mielógena crónicaRodas Cabanillas, José LuisSánchez García, DoloresCélulas TLeucemia mielógenaT cellsMyelogenous leukemiaIn this research was studied the interaction from a mathematical point of the human immune system T cells: naive and voters, with chronic myelogenous leukemia cells. (CML). This interaction was known through a system of nonlinear ordinary differential equations that describe the instantaneous variation of these three populations of cells. Emphasis is placed on finding solutions of analytical balance and numerically using the matlab software, and study their stability, for this purpose it has been used data obtained from similar studies and data from diseases whose pathology involves T cells as a defense mechanism, such is the case of the human immune deficiency virus. 12 parameters are examined and it has concluded that for stability, two parameters are important, the growth rate and the death rate of chronic myelogenous leukemica cells.En esta investigación se estudió la interacción, desde un punto de vista matemático, de las células T del sistema inmunológico humano: naive y electoras, con aquellas de leucemia mielógena crónica (LMC). Mediante un sistema de ecuación diferenciales ordinarias no lineales que describen la variación instantánea de éstas tres poblaciones de células se conoció esta interacción. Se pone énfasis en hallar soluciones de equilibrio analítica y numéricamente usando el software matlab, y estudiar la estabilidad de las mismas, para esto se han utilizó datos obtenidos de trabajos similares y datos de enfermedades en cuya patología intervienen las células T como mecanismo de defensa, tal es el caso del virus de inmune deficiencia humana. Se examina 12 parámetros y se concluyó que para la estabilidad, son importantes dos parámetros, la tasa de crecimiento y la tasa de muerte de células con LMC.Universidad Cesar Vallejo2016-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo evaluado por paresapplication/pdfhttp://revistas.ucv.edu.pe/index.php/ucv-hacer/article/view/760UCV Hacer; Vol. 5 No. 1 (2016): January - June; 82-93UCV Hacer; Vol. 5 Núm. 1 (2016): Enero - Junio; 82-932414-86952305-8552reponame:Revistas - Universidad César Vallejoinstname:Universidad César Vallejoinstacron:UCVspahttp://revistas.ucv.edu.pe/index.php/ucv-hacer/article/view/760/754Derechos de autor 2016 UCV Hacerhttps://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:oai.revistas.ucv.edu.pe:article/7602021-09-30T03:06:27Z
dc.title.none.fl_str_mv First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
Sistema de ecuaciones diferenciales de primer orden que describen la interacción de las células T y la leucemia mielógena crónica
title First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
spellingShingle First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
Rodas Cabanillas, José Luis
Células T
Leucemia mielógena
T cells
Myelogenous leukemia
title_short First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
title_full First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
title_fullStr First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
title_full_unstemmed First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
title_sort First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
dc.creator.none.fl_str_mv Rodas Cabanillas, José Luis
Sánchez García, Dolores
author Rodas Cabanillas, José Luis
author_facet Rodas Cabanillas, José Luis
Sánchez García, Dolores
author_role author
author2 Sánchez García, Dolores
author2_role author
dc.subject.none.fl_str_mv Células T
Leucemia mielógena
T cells
Myelogenous leukemia
topic Células T
Leucemia mielógena
T cells
Myelogenous leukemia
description In this research was studied the interaction from a mathematical point of the human immune system T cells: naive and voters, with chronic myelogenous leukemia cells. (CML). This interaction was known through a system of nonlinear ordinary differential equations that describe the instantaneous variation of these three populations of cells. Emphasis is placed on finding solutions of analytical balance and numerically using the matlab software, and study their stability, for this purpose it has been used data obtained from similar studies and data from diseases whose pathology involves T cells as a defense mechanism, such is the case of the human immune deficiency virus. 12 parameters are examined and it has concluded that for stability, two parameters are important, the growth rate and the death rate of chronic myelogenous leukemica cells.
publishDate 2016
dc.date.none.fl_str_mv 2016-06-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artículo evaluado por pares
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://revistas.ucv.edu.pe/index.php/ucv-hacer/article/view/760
url http://revistas.ucv.edu.pe/index.php/ucv-hacer/article/view/760
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv http://revistas.ucv.edu.pe/index.php/ucv-hacer/article/view/760/754
dc.rights.none.fl_str_mv Derechos de autor 2016 UCV Hacer
https://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2016 UCV Hacer
https://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Cesar Vallejo
publisher.none.fl_str_mv Universidad Cesar Vallejo
dc.source.none.fl_str_mv UCV Hacer; Vol. 5 No. 1 (2016): January - June; 82-93
UCV Hacer; Vol. 5 Núm. 1 (2016): Enero - Junio; 82-93
2414-8695
2305-8552
reponame:Revistas - Universidad César Vallejo
instname:Universidad César Vallejo
instacron:UCV
instname_str Universidad César Vallejo
instacron_str UCV
institution UCV
reponame_str Revistas - Universidad César Vallejo
collection Revistas - Universidad César Vallejo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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First order differential equations System that describes T cells and Chronic Myelogenous Leukemia interaction
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