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Model for chemotaxis. (English) Zbl 1170.92307
Summary: The chemotactic response of unicellular microscopic organisms is viewed as analogous to Brownian motion. Local assessments of chemical concentrations made by individual cells give rise to fluctuations in path. When averaged over many cells, or a long time interval, a macroscopic flux is derived which is proportional to the chemical gradient. By way of illustration, the coefficients appearing in the macroscopic flux equations are calculated for a particular microscopic model.

92C17 Cell movement (chemotaxis, etc.)
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
Full Text: DOI
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