12 citations · 18 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Structural multiscale topology optimization with stress constraint for additive manufacturing
Ferdinando Auricchio, Elena Bonetti, Massimo Carraturo +3
In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscal…