4 papers · 1 filter
Well-posedness for a fourth-order nonisothermal tumor growth model of Caginalp type
Giulia Cavalleri, Pierluigi Colli, Elisabetta Rocca
We introduce a nonisothermal phase-field system of Caginalp type that describes tumor growth under hyperthermia. The model couples a possibly viscous Cahn-Hilliard equation, govern…
A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
Giulia Cavalleri
We introduce a new diffuse interface model for tumour growth in the presence of a nutrient, in which we take into account mechanical effects and reversible tissue damage. The highl…
Optimal control on a brain tumor growth model with lactate metabolism, viscoelastic effects, and tissue damage
Giulia Cavalleri, Alain Miranville
In this paper, we study an optimal control problem for a brain tumor growth model that incorporates lactate metabolism, viscoelastic effects, and tissue damage. The PDE system, int…
On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
Giulia Cavalleri, Pierluigi Colli, Alain Miranville +1
In this paper, we study a nonlinearly coupled initial-boundary value problem describing the evolution of brain tumor growth including lactate metabolism. In our modeling approach,…