Existence of periodic solutions in the modified Wheldon model of CML

Autores
Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Idels, Lev
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modified and enriched by introduction of a time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. Via topological methods, the existence of positive periodic solutions is proven. We introduce our main insight and formulate some relevant open problems and conjectures.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Idels, Lev. Vancouver Island University. Departament of Mathematics; Canadá
Materia
Nonlinear Nonautonomous Delay Diferential Equation
Positive Periodic Solution
Leray-Schauder Degree
Chronic Myelogenous Leukemia
Model with Pharmacokinetics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/2749
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/2749
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Existence of periodic solutions in the modified Wheldon model of CMLAmster, Pablo GustavoBalderrama, Rocio CelesteIdels, LevNonlinear Nonautonomous Delay Diferential EquationPositive Periodic SolutionLeray-Schauder DegreeChronic Myelogenous LeukemiaModel with Pharmacokineticshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modified and enriched by introduction of a time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. Via topological methods, the existence of positive periodic solutions is proven. We introduce our main insight and formulate some relevant open problems and conjectures.Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Idels, Lev. Vancouver Island University. Departament of Mathematics; CanadáTexas State University. Department of Mathematics2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/2749Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Idels, Lev; Existence of periodic solutions in the modified Wheldon model of CML; Texas State University. Department of Mathematics; Electronic Journal of Differential Equations; 2013; 272; 10-2013; 1-141072-6691enginfo:eu-repo/semantics/altIdentifier/url/http://ejde.math.txstate.edu/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:31:43Zoai:ri.conicet.gov.ar:11336/2749instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:31:43.791CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Existence of periodic solutions in the modified Wheldon model of CML
title Existence of periodic solutions in the modified Wheldon model of CML
spellingShingle Existence of periodic solutions in the modified Wheldon model of CML
Amster, Pablo Gustavo
Nonlinear Nonautonomous Delay Diferential Equation
Positive Periodic Solution
Leray-Schauder Degree
Chronic Myelogenous Leukemia
Model with Pharmacokinetics
title_short Existence of periodic solutions in the modified Wheldon model of CML
title_full Existence of periodic solutions in the modified Wheldon model of CML
title_fullStr Existence of periodic solutions in the modified Wheldon model of CML
title_full_unstemmed Existence of periodic solutions in the modified Wheldon model of CML
title_sort Existence of periodic solutions in the modified Wheldon model of CML
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Balderrama, Rocio Celeste
Idels, Lev
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Balderrama, Rocio Celeste
Idels, Lev
author_role author
author2 Balderrama, Rocio Celeste
Idels, Lev
author2_role author
author
dc.subject.none.fl_str_mv Nonlinear Nonautonomous Delay Diferential Equation
Positive Periodic Solution
Leray-Schauder Degree
Chronic Myelogenous Leukemia
Model with Pharmacokinetics
topic Nonlinear Nonautonomous Delay Diferential Equation
Positive Periodic Solution
Leray-Schauder Degree
Chronic Myelogenous Leukemia
Model with Pharmacokinetics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modified and enriched by introduction of a time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. Via topological methods, the existence of positive periodic solutions is proven. We introduce our main insight and formulate some relevant open problems and conjectures.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Idels, Lev. Vancouver Island University. Departament of Mathematics; Canadá
description The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modified and enriched by introduction of a time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. Via topological methods, the existence of positive periodic solutions is proven. We introduce our main insight and formulate some relevant open problems and conjectures.
publishDate 2013
dc.date.none.fl_str_mv 2013-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/2749
Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Idels, Lev; Existence of periodic solutions in the modified Wheldon model of CML; Texas State University. Department of Mathematics; Electronic Journal of Differential Equations; 2013; 272; 10-2013; 1-14
1072-6691
url http://hdl.handle.net/11336/2749
identifier_str_mv Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Idels, Lev; Existence of periodic solutions in the modified Wheldon model of CML; Texas State University. Department of Mathematics; Electronic Journal of Differential Equations; 2013; 272; 10-2013; 1-14
1072-6691
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://ejde.math.txstate.edu/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Texas State University. Department of Mathematics
publisher.none.fl_str_mv Texas State University. Department of Mathematics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614328581357568
score 13.070432

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