Biased random walk models for chemotaxis and related diffusion approximations.

  title={Biased random walk models for chemotaxis and related diffusion approximations.},
  author={Wolfgang Alt},
  journal={Journal of mathematical biology},
  volume={9 2},
  • Wolfgang Alt
  • Published 1980 in Journal of mathematical biology
Stochastic models of biased random walk are discussed, which describe the behavior of chemosensitive cells like bacteria or leukocytes in the gradient of a chemotactic factor. In particular the turning frequency and turn angle distribution are derived from certain biological hypotheses on the background of related experimental observations. Under suitable assumptions it is shown that solutions of the underlying differential-integral equation approximately satisfy the well-known Patlak-Keller… CONTINUE READING
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