PDEs with membrane conditions to describe tumor invasion
by
Giorgia Ciavolella(IDP Orléans)
→
Europe/Paris
E2290 (Tours)
E2290
Tours
Description
One of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate and invade other organs during the so-called metastatic spread. This is allowed thanks to the production of enzymes capable of degrading the basament membrane separating the epithelial tissue from the connective one.
I am going to consider PDEs systems describing tumor and molecules (enzymes) interaction and dynamics in a domain coupled into two distinct one, separated by a membrane. At first I will show the derivation of membrane conditions in the limit of a zero-thickness membrane. Then, I will present an existence result on reaction-diffusion membrane problems and an application to real data.