DEPARTMENT OF MATHEMATICAL
& STATISTICAL SCIENCES

UNIVERSITY OF
ALBERTA

**MATHEMATICAL BIOLOGY SEMINAR**

MONDAY, December 2, 2002

3:00 PM

CAB 657

**Yasmin Dolak**

**Department of Mathematics**

**Vienna University of Technology
**

A Kinetic Theory Approach to Resolve the Chemotactic Wave Paradox

We study kinetic models for amoebal chemotaxis, incorporating the ability of
cells to assess temporal changes of the chemoattractant concentration as well as its spatial variations.
After having chosen an appropriate scaling of time and
space, we carry out a formal hyperbolic limit, constructing a diffusion term as
a higher order correction. The resulting macroscopic equations are coupled with
a simple model for production and propagation of the chemoattractant. To test
our model, we perform numerical experiments.