Seminario de Ecuaciones Diferenciales: «Nonlocal equations describing tumor growths»

Seminario a cargo de Martina Magliocca (Universidad de Sevilla).

Resumen: Cancer is a very complex phenomenon that involves many different scales and situations.
In this talk, we consider two principal models describing the evolution of a tumor colony and we derive a new asymptotic model for tumor growth. We discuss both the case with free boundary and infinite depth, and the case with two free boundaries.
We focus on the case of a single phase tumor colony taking into account chemotactic effects in an early stage where there is no necrotic inner region. Thus, our models are valid for the case of multilayer avascular tumors with very little access to both nutrients and inhibitors or the case where the amount of nutrients and inhibitors is very similar to the amount consumed by the multilayer tumor cells.
Besides deriving the model, we also prove a well-posedness result in a particular case and discuss some ongoing projects.
This talk is based on joint works with R. Granero-Belinchón and Alejandro Ortega.

• Fecha: Viernes, 19 de Enero de 2024
• Lugar: Aula A20, Facultad de Ciencias
• Horario: 10:00h
• Organiza: IMAG – Instituto de Matemáticas
• Más información: imag@ugr.es