12 citations · 18 across the 15 of their papers we have counts for
3 papers · 2 filters
Optimal control of stochastic phase-field models related to tumor growth
Carlo Orrieri, Elisabetta Rocca, Luca Scarpa
We study a stochastic phase-field model for tumor growth dynamics coupling a stochastic Cahn-Hilliard equation for the tumor phase parameter with a stochastic reaction-diffusion eq…
Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
Robert Lasarzik, Elisabetta Rocca, Giulio Schimperna
In this paper we prove the existence of weak solutions for a thermodynamically consistent phase-field model introduced in [26] in two and three dimensions of space. We use a notion…
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Cytotoxic chemotherapy is a common treatment for advanced prostate cancer. These tumors are also known to rely on angiogenesis, i.e., the growth of local microvasculature via chemi…