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.
Mots-clés : biophysics, chemotaxis, numerical simulation, mixed finite element
@article{M2AN_2003__37_4_617_0,
author = {Marrocco, Americo},
title = {Numerical simulation of chemotactic bacteria aggregation via mixed finite elements},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {617--630},
publisher = {EDP-Sciences},
volume = {37},
number = {4},
year = {2003},
doi = {10.1051/m2an:2003048},
mrnumber = {2018433},
zbl = {1065.92006},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2003048/}
}
TY - JOUR AU - Marrocco, Americo TI - Numerical simulation of chemotactic bacteria aggregation via mixed finite elements JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 617 EP - 630 VL - 37 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003048/ DO - 10.1051/m2an:2003048 LA - en ID - M2AN_2003__37_4_617_0 ER -
%0 Journal Article %A Marrocco, Americo %T Numerical simulation of chemotactic bacteria aggregation via mixed finite elements %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 617-630 %V 37 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003048/ %R 10.1051/m2an:2003048 %G en %F M2AN_2003__37_4_617_0
Marrocco, Americo. Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. ESAIM: Modélisation mathématique et analyse numérique, Special issue on Biological and Biomedical Applications, Tome 37 (2003) no. 4, pp. 617-630. doi : 10.1051/m2an:2003048. http://www.numdam.org/articles/10.1051/m2an:2003048/
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