IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
WHELDON MODEL OF CML REVISITED
Autor/es:
P. AMSTER; R. BALDERRAMA; L. IDELS
Reunión:
Congreso; IV Congreso de Matemática Aplicada, Computacional e Industrial; 2013
Resumen:
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 in-
troduced 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.