Mathematical Description of Bacterial Motion by Chemotaxis:Kinetic Description and Hydrodynamic Limi

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  Since experimental observations have shown that the motion of bacteria(e.g.Escherichia Coli)is due to the alternation of 'runs' and 'tumbles',mathematical modelling of this motion thanks to a kinetic description has been proposed.From this mesoscopic description,macroscopic models have been derived whose study and numerical simulations are challenging,since blow up phenomena appears at the limit.
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