Chemotactic patterns without chemotaxis

Chemotactic patterns without chemotaxis.

A dvances in computing have made it significantly easier to develop and implement mathematical models of ever-increasing complexity. Whereas, even a decade ago, solving a set of coupled nonlinear partial differential equations required sophisticated training and months of coding, software packages now make it possible for such models to be quickly solved. This has helped to catalyze interest in...

On a Chemotaxis Model with Saturated Chemotactic Flux

We propose a PDE chemotaxis model, which can be viewed as a regularization of the Patlak-Keller-Segel (PKS) system. Our modification is based on a fundamental physical property of the chemotactic flux function—its boundedness. This means that the cell velocity is proportional to the magnitude of the chemoattractant gradient only when the latter is small, while when the chemoattractant gradient ...

Session I – Chemotactic Signaling I Memory of Motility in Chemotaxis

Regulation of cell polarity during eukaryotic chemotaxis: the chemotactic compass.

Phosphatidylinositol 3-kinase lipid products and the Rho GTPases play a central role in transmitting information from chemotactic receptors to the effectors of cell polarity, and recent advances in the field have allowed us to understand these roles more clearly. Emergent properties of positive and negative regulation of these molecules may account for the establishment of cell polarity during ...

Bacterial chemotaxis without gradient-sensing.

Chemotaxis models are based on spatial or temporal gradient measurements by individual organisms. The key contribution of Keller and Segel (J Theor Biol 30:225-234, 1971a; J Theor Biol 30:235-248, 1971b) is showing that erratic measurements of individuals may result in an accurate chemotaxis phenomenon as a group. In this paper we provide another option to understand chemotactic behavior when i...