Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …

Background Inflammation in the lung is the body's natural response to injury. It acts to
remove harmful stimuli such as pathogens, irritants, and damaged cells and initiate the …

This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

Systems biology is an integrative discipline connecting the molecular components within a
single biological scale and also among different scales (eg cells, tissues and organ systems) …

At a time of unprecedented expansion in the life sciences, evolution is the one theory that
transcends all of biology. Any observation of a living system must ultimately be interpreted in …

Mathematical modelling of the movement of animals, micro-organisms and cells is of great
relevance in the fields of biology, ecology and medicine. Movement models can take many …

Histopathologic knowledge that extensive heterogeneity exists between and within tumors
has been confirmed and deepened recently by molecular studies. However, the impact 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 …

Simulating cancer behavior across multiple biological scales in space and time, ie,
multiscale cancer modeling, is increasingly being recognized as a powerful tool to refine …

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