The employment of nonlocal PDE models to describe biological aggregation and other
phenomena has gained considerable traction in recent years. For cell populations, these …

In this survey article, a variety of systems modeling tumor growth are discussed. In
accordance with the hallmarks of cancer, the described models incorporate the primary …

This paper deals with a chemotaxis-haptotaxis model of cancer invasion of tissue
(extracellular matrix (ECM)). The model consists of a parabolic chemotaxis-haptotaxis PDE …

Cancer is a complex disease that starts with mutations of key genes in one cell or a small
group of cells at a primary site in the body. If these cancer cells continue to grow successfully …

Cancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale
phenomenon involving many inter-related genetic, biochemical, cellular and tissue …

This paper presents a revisiting, with developments, of the so-called kinetic theory for active
particles, with the main focus on the modeling of nonlinearly additive interactions. The …

Instructing others to move is fundamental for many populations, whether animal or cellular.
In many instances, these commands are transmitted by contact, such that an instruction is …

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 …

The antineoplastic effects of docosahexaenoic acid-containing phosphatidylcholine (DHA-
PC) and eicosapentaenoic acid-containing phosphatidylcholine (EPA-PC) were explored …

A huge variety of mathematical models have been used to investigate collective cell
migration. The aim of this brief review is twofold: to present a number of modelling …