CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A MATHEMATICAL MODEL FOR TUMOR GROWTH AND PARAMETER ESTIMATION
Autor/es:
KNOPOFF DAMIAN; TORRES GERMAN; TURNER CRISTINA
Lugar:
Foz do Iguazu
Reunión:
Workshop; Workshop on mathematical methods and moeling of biophysical phenomena; 2011
Institución organizadora:
IMPA
Resumen:
In this poster we show a mathematical model
for tumor growth with chemotherapy. The model can be expressed as a moving
boundary value problem, in which one of the unknowns is the moving boundary of
the tumor.
We have a system of PDEs for the number of
living cancerous cells, nutrient concentration, the cells flux velocity and
drug concentration. The domain of definition of the problem is, of course, the
tumor.
First of all, it is considered that the
tumor is spheric, with radial symmetry; resulting that independent variables
are the radius r and the time t.
It is important to remark that the model
contains a lot of physical/chemical/biological parameters. Some of them are
known from experimental data, while the others are estimated to solve
numerically the system of PDEs. We pretend to use the model to estimate some of
these parameters via solving an inverse problem.