Chemotaxis in bacteria such as \textit{E.\ coli} is controlled by the slow
methylation of chemoreceptors. As a consequence, intrinsic time and length
scales of tens of seconds and hundreds of micrometers emerge, making the
Keller–Segel equations invalid when the chemical signal changes on these
scales, as occurs in several natural environments. Using a kinetic approach, we
show that chemotaxis is described using the concentration field of the protein
that controls tumbling in addition to bacterial density. The macroscopic
equations for these fields are derived, which describe the nonlocal response.

Cet article explore les excursions dans le temps et leurs implications.

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