Patterns are ubiquitous in living systems and underlie the dynamic organization of cells,
tissues, and embryos. Mathematical frameworks have been devised to account for the self …

We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

Neutrophils are the primary cells recruited to inflamed sites during an innate immune
response to tissue damage and/or infection. They are finely sensitive to inciting stimuli to …

Chemotaxis of tumour cells and stromal cells in the surrounding microenvironment is an
essential component of tumour dissemination during progression and metastasis. This …

Cell motility is central to tissue homeostasis in health and disease, and there is hardly any
cell in the body that is not motile at a given point in its life cycle. Important physiological …

Directional collective migration is now a widely recognized mode of migration during
embryogenesis and cancer. However, how a cluster of cells responds to chemoattractants is …

Injury that disrupts an epithelial layer instantaneously generates endogenous electric fields
(EFs), which were detected at human skin wounds over 150 years ago. Recent researches …

How do animal cells assemble into tissues and organs? A diverse array of tissue structures
and shapes can be formed by organizing groups of cells into different polarized …

Chemotaxis, the directed migration of cells in chemical gradients, is a vital process in normal
physiology and in the pathogenesis of many diseases. Chemotactic cells display motility …

In this article, we review physics-based models of collective cell motility. We discuss a range
of techniques at different scales, ranging from models that represent cells as simple self …