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2D simulation of chemotactic bacteria aggregation

Abstract : We start from a mathematical model which describes the collective motion of bacteria taking into account the underlying biochemistry. This model was first introduced by Keller-Segel . A new formulation of the system of partial differential equations is obtained by the introduction of a new variable (this new variable is similar to the quasi-Fermi level in the framework of semiconductor modelling). This new system of P.D.E. is approximat- ed via a mixed finite element technique. The solution algorithm is then described and finally we give some preliminary numerical results.Especially our method is well adapted to compute the concentration of bacteria.
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https://hal.inria.fr/inria-00071918
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Submitted on : Tuesday, May 23, 2006 - 7:15:23 PM
Last modification on : Thursday, February 3, 2022 - 11:17:29 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:44:31 PM

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  • HAL Id : inria-00071918, version 1

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Americo Marrocco. 2D simulation of chemotactic bacteria aggregation. [Research Report] RR-4667, INRIA. 2002. ⟨inria-00071918⟩

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