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 …

Cancer is a collection of diseases with the common feature of uncontrolled cellular growth.
Most tissues in the body can give rise to cancer, some even yield several types, and each …

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 …

Mass balance equations typically adopted to describe tumor growth are to be closed by
introducing a suitable velocity field. The first part of this paper is devoted to a critical review …

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process
whereby capillary sprouts are formed in response to externally supplied chemical stimuli …

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 …

Tumour growth is a multifactorial process, which has stimulated in recent decades the
development of numerous models trying to figure out the mechanisms controlling solid …

Recent advances in cancer research have identified critical angiogenic signaling pathways
and the influence of the extracellular matrix on endothelial cell migration. These findings …

In the developing embryo, tissues differentiate, deform, and move in an orchestrated manner
to generate various biological shapes driven by the complex interplay between genetic …

The extracellular matrix (ECM) is a highly complex structure through which biochemical and
mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a …