Cambiar a contenido. | Saltar a navegación

Herramientas Personales
Entrar

Navegación

Usted está aquí: Inicio / Actividades / Seminarios / Seminario de Análisis y Ecuaciones Diferenciales / Actividades del Seminario de Análisis y Ecuaciones Diferenciales / Mathematical and numerical analysis for a model of growing metastatic tumors. Assia Benabdallah. Université de Provence.

Mathematical and numerical analysis for a model of growing metastatic tumors. Assia Benabdallah. Université de Provence.

Ponente:
Cuándo 30/10/2008
de 12:00 a 13:00
Dónde Salón Graciela Salicrup
Agregar evento al calendario vCal
iCal

In cancer diseases, the appearance of
metastases is a very pejorative forecast. Chemotherapies are
systemic treatments which aim at the elimination of
the micrometastases produced by a primitive tumour. The
efficiency of chemotherapies closely depends on the protocols
of administration. Mathematical modeling is an invaluable
tool to help in evaluating the best treatment strategy. Iwata et al.
proposed a partial differential equation (PDE) that
describes the metastatic evolution of an untreated tumour. In this
article, we
conducted a thorough mathematical analysis of this model. Particularly,
we provide an explicit formula for the growth rate parameter, as well
as a numerical resolution of this PDE. By increasing our understanding
of the existing model, this work is crucial for further extension and
refinement of the model. It settles down the framework necessary for the consideration of drugs administration effects on tumour development