Swarming or collective motion of living entities is one of the most common and spectacular
manifestations of living systems that have been extensively studied in recent years. A …

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 …

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 …

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 …

Chemotaxis is a fundamental guidance mechanism of cells and organisms, responsible for
attracting microbes to food, embryonic cells into developing tissues, immune cells to …

In this paper, we are concerned with a quasi-linear hyperbolic-parabolic system of
persistence and endogenous chemotaxis modelling vasculogenesis. Under some suitable …

We review theoretical and computational research, primarily from the past 10 years,
addressing the flow of reactive fluids in porous media. The focus is on systems where …

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 organised structure with the capacity to direct cell
migration through their tendency to follow matrix fibres, a process known as contact …

This paper presents a systematic existence and uniqueness theory of weak measure
solutions for systems of non-local interaction PDEs with two species, which are the PDE …