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SUMMARY:Bacterial movement by run and tumble:  models\, patterns\, pathway
 s\, scales - Benoit Perthame (Sorbonne Université)
DTSTART:20220427T080000Z
DTEND:20220427T090000Z
UID:TALK171869@talks.cam.ac.uk
DESCRIPTION:At the individual scale\, bacteria as &nbsp\;E. coli move by p
 erforming so-called run-and-tumble movements. This means that they alterna
 te a&nbsp\; jump (run phase) followed by&nbsp\; fast re-organization phase
  (tumble) in which they decide of a new direction for run. For this reason
 \, the population is described by a kinetic-Botlzmann equation of scatteri
 ng type. Nonlinearity occurs when one takes into account chemotaxis\, the 
 release&nbsp\; by the individual cells of a chemical in the environment an
 d response by the population.\nThese models can explain experimental obser
 vations\, fit precise measurements and sustain various scales. They also a
 llow to derive\, in the diffusion limit\, macroscopic models (at the popul
 ation scale)\,&nbsp\; as the Flux-Limited-Keller-Segel system\, in opposit
 ion to the traditional Keller-Segel system\, this model can sustain robust
  traveling bands as observed in Adler's&nbsp\; famous experiment.\nFurther
 more\, the modulation of the tumbles\, can be understood using&nbsp\; intr
 acellular molecular pathways. Then\,&nbsp\; the&nbsp\; kinetic-Boltzmann e
 quation can be derived with a fast reaction scale.&nbsp\; Long runs at the
  individual scale and abnormal diffusion at the population scale\, can als
 o be derived mathematically.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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