Glioblastoma extensively infiltrates the brain; despite surgery and aggressive therapies, the
prognosis is poor. A multidisciplinary approach combining mathematical, clinical and …

We consider the problem of the long time dynamics for a diffuse interface model for tumor
growth. The model describes the growth of a tumor surrounded by host tissues in the …

We propose a new type of diffuse interface model describing the evolution of a tumor mass
under the effects of a chemical substance (eg, a nutrient or a drug). The process is described …

In this work, we develop a computational tool to predict the patient‐specific evolution of a
highly malignant brain tumour, the glioblastoma multiforme (GBM), and its response to …

We investigate the long-time dynamics and optimal control problem of a thermodynamically
consistent diffuse interface model that describes the growth of a tumor in presence of a …

Mechanical effects have mostly been neglected so far in phase field tumour models that are
based on a Cahn–Hilliard approach. In this paper we study a macroscopic mechanical …

Fungi show a high degree of morphological convergence. Regarded for a long time as an
obstacle for phylogenetic studies, homoplasy has also been proposed as a source of …

A phase field model for tumour growth is introduced that is based on a Brinkman law for
convective velocity fields. The model couples a convective Cahn-Hilliard equation for the …

The Keller-Segel model is a well-known system representing chemotaxis in living
organisms. We study the convergence of a generalized nonlinear variant of the Keller-Segel …

In this work, we study a model consisting of a Cahn--Hilliard-type equation for the
concentration of tumor cells coupled to a reaction-diffusion-type equation for the nutrient …