12 citations · 18 across the 15 of their papers we have counts for
4 papers · 1 filter
Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Tania Biswas, Elisabetta Rocca
We consider a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects which is introduced in [2]. It is comprised of phase-field equation t…
On the Existence of Strong Solutions to the Cahn-Hilliard-Darcy system with mass source
Andrea Giorgini, Kei Fong Lam, Elisabetta Rocca +1
We study a diffuse interface model describing the evolution of the flow of a binary fluid in a Hele-Shaw cell. The model consists of a Cahn-Hilliard-Darcy (CHD) type system with tr…
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…
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Prostate cancer can be lethal in advanced stages, for which chemotherapy may become the only viable therapeutic option. While there is no clear clinical management strategy fitting…