Objectives Cancer is a complex biological occurrence which is difficult to describe clearly
and explain its growth development. As such, novel concepts, such as of heterogeneity and …

The process of tumor cell growth, invasion and metastasis involves a self-organized
cascade of multiple tumor-host and tumor-immune interactions. The prediction of cancer …

The problem of scheduling a given amount of angiogenic inhibitors is considered as an
optimal control problem with the objective of maximizing the achievable tumor reduction. For …

A hallmark of biological cells is their ability to proliferate and of tissues their ability to grow.
This is common in morphogenesis and embryogenesis, but also in pathological conditions …

We present a further development of a multiscale chemo-mechanical model of carcinoma
growth in the epithelium tissue proposed earlier. The epithelium is represented by an elastic …

We present a stochastic individual-based model for the phenotypic evolution of cancer cell
populations under chemotherapy. In particular, we consider the case of combination cancer …

We analyze a phase field model for tumor growth consisting of a Cahn–Hilliard–Brinkman
system, ruling the evolution of the tumor mass, coupled with an advection-reaction-diffusion …

Based on the literature data from HT-29 cell monolayers, we develop a model for its growth,
analogous to an epidemic model, mixing local and global interactions. First, we propose and …

We introduce a new phase field model for tumor growth where viscoelastic effects are taken
into account. The model is derived from basic thermodynamical principles and consists of a …

After a long incubation period in which only sporadic investigations were devoted to the
applications of mathematics and physics to the study of tumors (see, eg, the work of Doll and …