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CATEGORIES:Mathematics Colloquium
SUMMARY:Bacterial collective movement: patterns\, pathway
s\, scales\, models - Prof. BenoĆ®t Perthame\, Labo
ratoire J.-L. Lions\, Universite P. et M. Curie\,
CNRS\, UPD\, INRIA de Paris
DTSTART:20170301T160000Z
DTEND:20170301T170000Z
UID:TALK2429AT
URL:/talk/index/2429
DESCRIPTION:Cell communities exhibit remarkable patterns which
result from complex and poorly understood mechani
sms. The simplest of them are traveling pulses. Ma
ny partial differential equations have been propos
ed in this field and two classes are remarkable\n\
n- semilinear parabolic systems for the cell popul
ation density and the nutrients\,\n\n- Fokker-Plan
ck equations as the famous Keller-Segel model for
chemotaxis.\n\nTo go further\, address finer exper
imental observations\, fit precise measurements an
d understand the various scales\, new classes of m
odels have appeared. At the mesoscopic scale\, the
y have been based on Boltzmann-kinetic models afte
r the experimental observation of the run and tumb
le movement of bacteria. They are useful to includ
e informations at the individual cell level throug
h the tumbling kernel. They also allow to derive m
acroscopic models (at the population scale)\, as
the Keller-Segel system\, in the diffusion limit.\
n \nWe will finally explain how the microscopic be
havior of E. coli\, and its modulation of the tum
bles\, can be explained using molecular pathways.
This gives rise to the Flux Limited Keller-Segel
equation in the diffusion limit. In opposition to
the traditional Keller-Segel system\, this new mod
el can sustain robust traveling bands as observed
in the famous experiment of Adler.
LOCATION:Lecture room A\, Watson building
CONTACT:Simon Goodwin
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