A gradually slowing travelling band of chemotactic bacteria

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Abstract
A model for describing the motion of chemotactic bacteria in a capillary tube containing substrate is treated. Chemotactic substrate threshold effects are included in the chemotactic response coefficient. The ratio of the substrate threshold, s T, to the substrate level far ahead of the travelling band, s ∞, is used as a small parameter in developing an asymptotic solution of “near travelling wave” form.