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, P., Balderrama, R., Idels, L.
Formato: JOUR
Materias:
Chronic myelogenous leukemia
Leray-Schauder degree
Model with pharmacokinetics
Nonlinear nonautonomous delay differential equation
Positive periodic solution
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2013_n_p_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10726691_v2013_n_p_Amster2023-10-03T16:02:49Z Existence of periodic solutions in the modified wheldon model of CML Amster, P. Balderrama, R. Idels, L. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, P.
Balderrama, R.
Idels, L.
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.
format JOUR
author Amster, P.
Balderrama, R.
Idels, L.
author_facet Amster, P.
Balderrama, R.
Idels, L.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_10726691_v2013_n_p_Amster
work_keys_str_mv AT amsterp existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml
AT balderramar existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml
AT idelsl existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml
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