KNOPOFF Damian Alejandro
congresos y reuniones científicas
A MATHEMATICAL MODEL FOR TUMOR GROWTH AND PARAMETER ESTIMATION
KNOPOFF DAMIAN; TORRES GERMAN; TURNER CRISTINA
Foz do Iguazu
Workshop; Workshop on mathematical methods and modeling of biophysical phenomena; 2011
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.