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.
@article{M2AN_2003__37_4_617_0,
author = {Marrocco, Americo},
title = {Numerical simulation of chemotactic bacteria aggregation via mixed finite elements},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {37},
year = {2003},
pages = {617-630},
doi = {10.1051/m2an:2003048},
mrnumber = {2018433},
zbl = {1065.92006},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2003__37_4_617_0}
}
Marrocco, Americo. Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) pp. 617-630. doi : 10.1051/m2an:2003048. http://gdmltest.u-ga.fr/item/M2AN_2003__37_4_617_0/
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