  Mathematical and computational models can assist in gaining an understanding
of cell behavior at many levels of organization. Here, we review models in the
literature that focus on eukaryotic cell motility at 3 size scales:
intracellular signaling that regulates cell shape and movement, single cell
motility, and collective cell behavior from a few cells to tissues. We survey
recent literature to summarize distinct computational methods (phase-field,
polygonal, Cellular Potts, and spherical cells). We discuss models that bridge
between levels of organization, and describe levels of detail, both biochemical
and geometric, included in the models. We also highlight links between models
and experiments. We find that models that span the 3 levels are still in the
minority.
