Mathematical Theories of Topotaxis

The attraction of microorganisms by external stimuli has fascinated biologists and other natural scientists for many years. Classical papers on the behavior of plant sperm and bacteria moving in response to chemical gradients appeared almost 100 years ago (Pfeffer, 1884; Engelmann, 1881). Other stimuli which are known to affect locomotory behavior of unicellular organisms are light, heat, gravity, mechanical perturbation, and magnetic fields. However, in recent years movement of cells in chemical fields has been the most thoroughly studied. Coincidentally, most mathematical modelling of cell migration phenomena has concerned response to chemical signals.

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