2 papers
math.AP2022
On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
Elisabetta Rocca, Giulio Schimperna, Andrea Signori
We propose a new type of diffuse interface model describing the evolution of a tumor mass under the effects of a chemical substance (e.g., a nutrient or a drug). The process is des…
math.AP2020
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis
Elisabetta Rocca, Luca Scarpa, Andrea Signori
We introduce the problem of parameter identification for a coupled nonlocal Cahn-Hilliard-reaction-diffusion PDE system stemming from a recently introduced tumor growth model. The…