Existence of periodic solutions in the modified wheldon model of CML

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. Vi...

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Detalles Bibliográficos
Autores principales:	Amster, Pablo Gustavo, Balderrama, Rocio Celeste
Publicado:	2013
Materias:	Chronic myelogenous leukemia Leray-Schauder degree Model with pharmacokinetics Nonlinear nonautonomous delay differential equation Positive periodic solution
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2013_n_p_Amster http://hdl.handle.net/20.500.12110/paper_10726691_v2013_n_p_Amster
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10726691_v2013_n_p_Amster
record_format	dspace
spelling	paper:paper_10726691_v2013_n_p_Amster2023-06-08T16:04:53Z Existence of periodic solutions in the modified wheldon model of CML Amster, Pablo Gustavo Balderrama, Rocio Celeste Chronic myelogenous leukemia Leray-Schauder degree Model with pharmacokinetics Nonlinear nonautonomous delay differential equation Positive periodic solution 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. © 2013 Texas State University - San Marcos. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Balderrama, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2013_n_p_Amster http://hdl.handle.net/20.500.12110/paper_10726691_v2013_n_p_Amster
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Chronic myelogenous leukemia Leray-Schauder degree Model with pharmacokinetics Nonlinear nonautonomous delay differential equation Positive periodic solution
spellingShingle	Chronic myelogenous leukemia Leray-Schauder degree Model with pharmacokinetics Nonlinear nonautonomous delay differential equation Positive periodic solution Amster, Pablo Gustavo Balderrama, Rocio Celeste Existence of periodic solutions in the modified wheldon model of CML
topic_facet	Chronic myelogenous leukemia Leray-Schauder degree Model with pharmacokinetics Nonlinear nonautonomous delay differential equation Positive periodic solution
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. © 2013 Texas State University - San Marcos.
author	Amster, Pablo Gustavo Balderrama, Rocio Celeste
author_facet	Amster, Pablo Gustavo Balderrama, Rocio Celeste
author_sort	Amster, Pablo Gustavo
title	Existence of periodic solutions in the modified wheldon model of CML
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
publishDate	2013
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2013_n_p_Amster http://hdl.handle.net/20.500.12110/paper_10726691_v2013_n_p_Amster
work_keys_str_mv	AT amsterpablogustavo existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml AT balderramarocioceleste existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml
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Existence of periodic solutions in the modified wheldon model of CML

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