Wheldon model of CLM revisited

Autores
Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Idels, Lev
Año de publicación
2013
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
The Wheldon model (1975) of a Chronic Myelogenous Leukemia (CML) dynamics is revisited in the light of recent  discovery that this model has a major drawback. To reanimate the Wheldon model, we used late Wheldon´s remarks  and M. C. Mackey ideas to introduce a new mechanism. To further enrich the model, we introduced time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. The global existence and positiveness of the solutions of the Wheldon model are examined. Furthermore, via topological methods, the existence of positive periodic solutions is proved.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Idels, Lev. University of Ottawa. Faculty of Science; Canadá
IV Congreso de Matemática Aplicada, Computacional e Industrial
Argentina
Universidad Tecnológica Nacional
Universidad Nacional de San Martín
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
Materia
Wheldon
Degree theory
nonlinear analisys
CML
NONLINEAR NONAUTONOMOUS DELAY DIFFERENTIAL EQUATIONS
EXISTENCE OF POSITIVE GLOBAL AND PERIODIC SOLUTIONS
DEGREE THEORY
CHRONIC MYELOGENOUS LEUKEMIA
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:11336/266697
Acceder
id CONICETDig_767ade02affee77a4a0aa8791de68bb0
oai_identifier_str oai:ri.conicet.gov.ar:11336/266697
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Wheldon model of CLM revisitedAmster, Pablo GustavoBalderrama, Rocio CelesteIdels, LevWheldonDegree theorynonlinear analisysCMLNONLINEAR NONAUTONOMOUS DELAY DIFFERENTIAL EQUATIONSEXISTENCE OF POSITIVE GLOBAL AND PERIODIC SOLUTIONSDEGREE THEORYCHRONIC MYELOGENOUS LEUKEMIAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The Wheldon model (1975) of a Chronic Myelogenous Leukemia (CML) dynamics is revisited in the light of recent  discovery that this model has a major drawback. To reanimate the Wheldon model, we used late Wheldon´s remarks  and M. C. Mackey ideas to introduce a new mechanism. To further enrich the model, we introduced time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. The global existence and positiveness of the solutions of the Wheldon model are examined. Furthermore, via topological methods, the existence of positive periodic solutions is proved.Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Idels, Lev. University of Ottawa. Faculty of Science; CanadáIV Congreso de Matemática Aplicada, Computacional e IndustrialArgentinaUniversidad Tecnológica NacionalUniversidad Nacional de San MartínAsociación Argentina de Matemática Aplicada, Computacional e IndustrialAsociación Argentina de Matemática Aplicada, Computacional e Industrial2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectCongresoJournalhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/266697Wheldon model of CLM revisited; IV Congreso de Matemática Aplicada, Computacional e Industrial; Argentina; 2013; 117-1202314-3282CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://asamaci.org.ar/wp-content/uploads/2021/06/MACI-Vol-4-2013.pdfInternacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:53:20Zoai:ri.conicet.gov.ar:11336/266697instacron: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:34982025-11-26 08:53:20.39CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Wheldon model of CLM revisited
title Wheldon model of CLM revisited
spellingShingle Wheldon model of CLM revisited
Amster, Pablo Gustavo
Wheldon
Degree theory
nonlinear analisys
CML
NONLINEAR NONAUTONOMOUS DELAY DIFFERENTIAL EQUATIONS
EXISTENCE OF POSITIVE GLOBAL AND PERIODIC SOLUTIONS
DEGREE THEORY
CHRONIC MYELOGENOUS LEUKEMIA
title_short Wheldon model of CLM revisited
title_full Wheldon model of CLM revisited
title_fullStr Wheldon model of CLM revisited
title_full_unstemmed Wheldon model of CLM revisited
title_sort Wheldon model of CLM revisited
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 Wheldon
Degree theory
nonlinear analisys
CML
NONLINEAR NONAUTONOMOUS DELAY DIFFERENTIAL EQUATIONS
EXISTENCE OF POSITIVE GLOBAL AND PERIODIC SOLUTIONS
DEGREE THEORY
CHRONIC MYELOGENOUS LEUKEMIA
topic Wheldon
Degree theory
nonlinear analisys
CML
NONLINEAR NONAUTONOMOUS DELAY DIFFERENTIAL EQUATIONS
EXISTENCE OF POSITIVE GLOBAL AND PERIODIC SOLUTIONS
DEGREE THEORY
CHRONIC MYELOGENOUS LEUKEMIA
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 revisited in the light of recent  discovery that this model has a major drawback. To reanimate the Wheldon model, we used late Wheldon´s remarks  and M. C. Mackey ideas to introduce a new mechanism. To further enrich the model, we introduced time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. The global existence and positiveness of the solutions of the Wheldon model are examined. Furthermore, via topological methods, the existence of positive periodic solutions is proved.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Idels, Lev. University of Ottawa. Faculty of Science; Canadá
IV Congreso de Matemática Aplicada, Computacional e Industrial
Argentina
Universidad Tecnológica Nacional
Universidad Nacional de San Martín
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
description The Wheldon model (1975) of a Chronic Myelogenous Leukemia (CML) dynamics is revisited in the light of recent  discovery that this model has a major drawback. To reanimate the Wheldon model, we used late Wheldon´s remarks  and M. C. Mackey ideas to introduce a new mechanism. To further enrich the model, we introduced time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special class of nonautonomous nonlinear system of differential equations with delays. The global existence and positiveness of the solutions of the Wheldon model are examined. Furthermore, via topological methods, the existence of positive periodic solutions is proved.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Congreso
Journal
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
status_str publishedVersion
format conferenceObject
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/266697
Wheldon model of CLM revisited; IV Congreso de Matemática Aplicada, Computacional e Industrial; Argentina; 2013; 117-120
2314-3282
CONICET Digital
CONICET
url http://hdl.handle.net/11336/266697
identifier_str_mv Wheldon model of CLM revisited; IV Congreso de Matemática Aplicada, Computacional e Industrial; Argentina; 2013; 117-120
2314-3282
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://asamaci.org.ar/wp-content/uploads/2021/06/MACI-Vol-4-2013.pdf
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
application/pdf
dc.coverage.none.fl_str_mv Internacional
dc.publisher.none.fl_str_mv Asociación Argentina de Matemática Aplicada, Computacional e Industrial
publisher.none.fl_str_mv Asociación Argentina de Matemática Aplicada, Computacional e Industrial
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
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score 13.011256

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