Abstract
A macroscopic asymmetric diffusion equation to model the responses of microbial populations to chemical attractants and repellents is derived from a biased random walk model for the motion of individual cells. The equation is different from the well-known Keller-Segel equation which contains a Fickian diffusion term. The implications of this difference for selected problems of biological interest are considered. In particular the aggregation of a population of microorganisms in a region of high concentration of attractant is discussed. Some similarities and limitations of both models are noted.
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