Collective cell spreading takes place in spatially continuous environments, yet it is often
modelled using discrete lattice-based approaches. Here, we use data from a series of cell …

Individual-based models describing the migration and proliferation of a population of cells
frequently restrict the cells to a predefined lattice. An implicit assumption of this type of lattice …

Two-dimensional collective cell migration assays are used to study cancer and tissue repair.
These assays involve combined cell migration and cell proliferation processes, both of …

Cell-to-cell adhesion is an important aspect of malignant spreading that is often observed in
images from the experimental cell biology literature. Since cell-to-cell adhesion plays an …

The ability of cells to undergo collective movement plays a fundamental role in tissue repair,
development and cancer. Interactions occurring at the level of individual cells may lead to …

Biological systems involving proliferation, migration, and death are observed across all
scales. For example, they govern cellular processes such as wound healing, as well as the …

Mathematical models of collective cell movement often neglect the effects of spatial
structure, such as clustering, on the population dynamics. Typically, they assume that …

Continuum diffusion models are often used to represent the collective motion of cell
populations. Most previous studies have simply used linear diffusion to represent collective …

Directed cell migration often occurs when individual cells move in response to an external
chemical stimulus. Cells can respond by moving in either the direction of increasing …

Partial differential equation models are ubiquitous in studies of motile cell populations,
giving a phenomenological description of events which can be analyzed and simulated …