Cell migration directed by spatial cues, or taxis, is a primary mechanism for orchestrating
concerted and collective cell movements during development, wound repair, and immune …

Polarization, a primary step in the response of an individual eukaryotic cell to a spatial
stimulus, has attracted numerous theoretical treatments complementing experimental …

Receptors: Models for Binding, Trafficking, and Signaling bridges the gap between chemical
engineering and cell biology by lucidly and practically demonstrating how a mathematical …

Dictyostelia are soil amoebae capable of extraordinary feats of survival, motility, chemotaxis,
and development. Characterised by their ability to transform from a single-celled organism …

In this paper we study the diffusion approximation to a transport equation that describes the
motion of individuals whose velocity changes are governed by a Poisson process. We show …

In this paper, we use the diffusion-limit expansion of transport equations developed earlier
[T. Hillen and HG Othmer, SIAM J. Appl. Math., 61 (2000), pp. 751--775] to study the limiting …

A soluble actin binding protein of Dictyostelium discoideum cells has been extracted and
purified from precipitated actin‐myosin complexes. This protein with a relative molecular …

In animals, many cells reach their destinations by migrating toward higher concentrations of
an attractant. However, the nature, generation, and interpretation of attractant gradients are …

Cancer progression to the invasive and metastatic stage represents the most formidable
barrier to successful treatment. To develop rational therapies, we must determine the …

Experiments in amoebae and neutrophils have shown that local accumulations of
phosphatidylinositol 3, 4, 5-trisphosphate [PI (3, 4, 5) P3] mediate the ability of cells to …