Periodic Solutions of Angiogenesis Models with Time Lags

Autores
Amster, Pablo Gustavo; Berezansky, L.; Idels, L.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
To enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays. The models under study belong to a special class of nonlinear nonautonomous systems with delays. Explicit sufficient and necessary conditions for the existence of the positive periodic solutions were obtained via topological methods. Some open problems are presented for further studies.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Berezansky, L.. Ben Gurion University Of The Negev; Israel
Fil: Idels, L.. Vancouver Island University; Canadá
Materia
Angiogenesis
Nonlinear Nonautonomous Delay Differential Equations
Existence of Positive Periodic Solutions
A Priori Estimates
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/15023
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/15023
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Periodic Solutions of Angiogenesis Models with Time LagsAmster, Pablo GustavoBerezansky, L.Idels, L.AngiogenesisNonlinear Nonautonomous Delay Differential EquationsExistence of Positive Periodic SolutionsA Priori Estimateshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1To enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays. The models under study belong to a special class of nonlinear nonautonomous systems with delays. Explicit sufficient and necessary conditions for the existence of the positive periodic solutions were obtained via topological methods. Some open problems are presented for further studies.Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Berezansky, L.. Ben Gurion University Of The Negev; IsraelFil: Idels, L.. Vancouver Island University; CanadáElsevier2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15023Amster, Pablo Gustavo; Berezansky, L.; Idels, L.; Periodic Solutions of Angiogenesis Models with Time Lags; Elsevier; Nonlinear Analysis-real World Applications; 13; 1; 1-2012; 299-3111468-1218enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1468121811001969info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nonrwa.2011.07.035info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:55:13Zoai:ri.conicet.gov.ar:11336/15023instacron: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:34982025-09-03 09:55:13.343CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Periodic Solutions of Angiogenesis Models with Time Lags
title Periodic Solutions of Angiogenesis Models with Time Lags
spellingShingle Periodic Solutions of Angiogenesis Models with Time Lags
Amster, Pablo Gustavo
Angiogenesis
Nonlinear Nonautonomous Delay Differential Equations
Existence of Positive Periodic Solutions
A Priori Estimates
title_short Periodic Solutions of Angiogenesis Models with Time Lags
title_full Periodic Solutions of Angiogenesis Models with Time Lags
title_fullStr Periodic Solutions of Angiogenesis Models with Time Lags
title_full_unstemmed Periodic Solutions of Angiogenesis Models with Time Lags
title_sort Periodic Solutions of Angiogenesis Models with Time Lags
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Berezansky, L.
Idels, L.
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Berezansky, L.
Idels, L.
author_role author
author2 Berezansky, L.
Idels, L.
author2_role author
author
dc.subject.none.fl_str_mv Angiogenesis
Nonlinear Nonautonomous Delay Differential Equations
Existence of Positive Periodic Solutions
A Priori Estimates
topic Angiogenesis
Nonlinear Nonautonomous Delay Differential Equations
Existence of Positive Periodic Solutions
A Priori Estimates
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv To enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays. The models under study belong to a special class of nonlinear nonautonomous systems with delays. Explicit sufficient and necessary conditions for the existence of the positive periodic solutions were obtained via topological methods. Some open problems are presented for further studies.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Berezansky, L.. Ben Gurion University Of The Negev; Israel
Fil: Idels, L.. Vancouver Island University; Canadá
description To enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays. The models under study belong to a special class of nonlinear nonautonomous systems with delays. Explicit sufficient and necessary conditions for the existence of the positive periodic solutions were obtained via topological methods. Some open problems are presented for further studies.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
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/11336/15023
Amster, Pablo Gustavo; Berezansky, L.; Idels, L.; Periodic Solutions of Angiogenesis Models with Time Lags; Elsevier; Nonlinear Analysis-real World Applications; 13; 1; 1-2012; 299-311
1468-1218
url http://hdl.handle.net/11336/15023
identifier_str_mv Amster, Pablo Gustavo; Berezansky, L.; Idels, L.; Periodic Solutions of Angiogenesis Models with Time Lags; Elsevier; Nonlinear Analysis-real World Applications; 13; 1; 1-2012; 299-311
1468-1218
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1468121811001969
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nonrwa.2011.07.035
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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_ 1842269330821087232
score 13.13397

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