Search

Your search keyword '"model with pharmacokinetics"' showing total 3 results
Start Over Descriptor "model with pharmacokinetics"
3 results on '"model with pharmacokinetics"'

1. Decay of non-oscillatory solutions for a system of neutral differential equations

Author

Helena Samajova, Eva Spanikova, and Julio G. Dix

Subjects
Nonlinear nonautonomous delay differential equation, positive periodic solution, Leray-Schauder degree, chronic myelogenous leukemia, model with pharmacokinetics, Mathematics, QA1-939
Abstract

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.

Published
2013

2. Existence of periodic solutions in the modified Wheldon model of CML

Author

Pablo Amster, Rocio Balderrama, and Lev Idels

Subjects
Nonlinear nonautonomous delay differential equation, positive periodic solution, Leray-Schauder degree, chronic myelogenous leukemia, model with pharmacokinetics, Mathematics, QA1-939
Abstract

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.

Published
2013

3. Existence of periodic solutions in the modified Wheldon model of CML

Author

Amster, Pablo Gustavo, Balderrama, Rocio Celeste, and Idels, Lev

Subjects
purl.org/becyt/ford/1 [https], LERAY-SCHAUDER DEGREE, NONLINEAR NONAUTONOMOUS DELAY DIFERENTIAL EQUATION, Matemáticas, MODEL WITH PHARMACOKINETICS, CHRONIC MYELOGENOUS LEUKEMIA, purl.org/becyt/ford/1.1 [https], POSITIVE PERIODIC SOLUTION, CIENCIAS NATURALES Y EXACTAS, Matemática Pura
Abstract

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

Published
2013

Catalog

Books, media, physical & digital resources
See catalog results