One of the most remarkable differences between classical engineering materials and living
matter is the ability of the latter to grow and remodel in response to diverse stimuli. The …

A miscellany of new strategies, experimental techniques and theoretical approaches are
emerging in the ongoing battle against cancer. Nevertheless, as new, ground-breaking …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

This is the first paper in a two-part series in which we develop, analyze, and simulate a
diffuse interface continuum model of multispecies tumor growth and tumor-induced …

In this paper the theory of mixtures is used to develop a two‐phase model of an avascular
tumour, which comprises a solid, cellular, phase and a liquid phase. Mass and momentum …

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …

This paper presents a critical review of selected topics related to the modelling of cancer
onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical …

In this article, we present a new multiscale mathematical model for solid tumour growth
which couples an improved model of tumour invasion with a model of tumour-induced …

In this paper we study tumor growth within the framework of Continuum Mechanics,
considering a tumor as a specific case of a growing soft tissue. Using the notion of multiple …