Time-lapse, deep-tissue imaging made possible by advances in intravital microscopy has
demonstrated the importance of tumour cell migration through confining tracks in vivo. These …

The interactions among tumour cells, the tumour microenvironment (TME) and non-tumour
tissues are of interest to many cancer researchers. Micro-engineering approaches and …

Cell polarization is a key step in the migration, development, and organization of eukaryotic
cells, both at the single cell and multicellular level. Research on the mechanisms that give …

Pairs of endothelial cells on adhesive micropatterns rotate persistently, but pairs of
fibroblasts do not; coherent rotation is present in normal mammary acini and kidney cells but …

Mathematical modeling has been instrumental in identifying common principles of cell
polarity across diverse systems. These principles include positive feedback loops that are …

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 …

Glioblastoma multiforme is a heterogeneous and infiltrative cancer with dismal prognosis.
Studying the migratory behavior of tumor-derived cell populations can be informative, but it …

Directed cell migration in native environments is influenced by multiple migratory cues.
These cues may include simultaneously occurring attractive soluble growth factor gradients …

Many mathematical models have been proposed for the process of cell polarization. Some
of these are 'functional models' that capture a class of dynamical behaviour, whereas others …

Protrusion and retraction of lamellipodia are common features of eukaryotic cell motility. As a
cell migrates through its extracellular matrix (ECM), lamellipod growth increases cell-ECM …