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Numerical simulation of chemotactic bacteria aggregation via mixedfinite elements

Published online by Cambridge University Press:  15 November 2003

Americo Marrocco
Americo Marrocco*
Affiliation:
Inria, Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay, France. [email protected].
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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 [13]. 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 approximated 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.

Keywords

Biophysicschemotaxisnumerical simulationmixed finite element.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 4: Special issue on Biological and Biomedical Applications , July 2003 , pp. 617 - 630
Copyright
© EDP Sciences, SMAI, 2003

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