Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …

This review presents the different physical descriptions of cell assemblies. After a short
presentation of discrete models, very popular in studies of epithelial tissues, we focus more …

In this paper, a distributed optimal control problem is studied for a diffuse interface model of
tumor growth which was proposed by Hawkins–Daruud et al in Hawkins–Daruud et al (2011 …

We consider a diffuse interface model of tumour growth proposed by A. Hawkins-Daruud et
al.((2013) J. Math. Biol. 67 1457–1485). This model consists of the Cahn–Hilliard equation …

Both compressible and incompressible porous medium models are used in the literature to
describe the mechanical properties of living tissues. These two classes of models can be …

We consider a Cahn‐Hilliard–type equation with degenerate mobility and single‐well
potential of Lennard‐Jones type. This equation models the evolution and growth of …

Various models of tumour growth are available in the literature. The first type describe the
evolution of the cell number density when considered as a continuous visco-elastic material …

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 consider a diffuse interface model for tumor growth recently proposed in Chen et al
(2014 Int. J. Numer. Methods Biomed. Eng. 30 726–54). In this new approach sharp …

In this paper we perform an asymptotic analysis for two different vanishing viscosity
coefficients occurring in a phase field system of Cahn–Hilliard type that was recently …