Geodesic
An Age and Spatially Structured Population Model for Proteus Mirabilis Swarm-Colony Development
Ph. Laurençot1 ; Ch. Walker2
1 Institut de Mathématiques de Toulouse, CNRS (UMR 5219) & Université de Toulouse, 118 route de Narbonne, F-31062 Toulouse cedex 9, France
2 Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, D-30167 Hannover, Germany
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 7, pp. 49-77.

Voir la notice de l'article provenant de la source EDP Sciences

Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically. The model consists of an ordinary differential equation coupled with a partial differential equation involving a first-order hyperbolic aging term together with nonlinear degenerate diffusion. The system is shown to admit global weak solutions.
DOI : 10.1051/mmnp:2008041

Ph. Laurençot 1 ; Ch. Walker 2

1 Institut de Mathématiques de Toulouse, CNRS (UMR 5219) & Université de Toulouse, 118 route de Narbonne, F-31062 Toulouse cedex 9, France
2 Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, D-30167 Hannover, Germany 
@article{MMNP_2008_3_7_a3,
     author = {Ph. Lauren\c{c}ot and Ch. Walker},
     title = {An {Age} and {Spatially} {Structured} {Population} {Model} for {Proteus} {Mirabilis} {Swarm-Colony} {Development}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {49--77},
     publisher = {mathdoc},
     volume = {3},
     number = {7},
     year = {2008},
     doi = {10.1051/mmnp:2008041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008041/}
}
TY  - JOUR
AU  - Ph. Laurençot
AU  - Ch. Walker
TI  - An Age and Spatially Structured Population Model for Proteus Mirabilis Swarm-Colony Development
JO  - Mathematical modelling of natural phenomena
PY  - 2008
SP  - 49
EP  - 77
VL  - 3
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008041/
DO  - 10.1051/mmnp:2008041
LA  - en
ID  - MMNP_2008_3_7_a3
ER  - 
%0 Journal Article
%A Ph. Laurençot
%A Ch. Walker
%T An Age and Spatially Structured Population Model for Proteus Mirabilis Swarm-Colony Development
%J Mathematical modelling of natural phenomena
%D 2008
%P 49-77
%V 3
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008041/
%R 10.1051/mmnp:2008041
%G en
%F MMNP_2008_3_7_a3
Ph. Laurençot; Ch. Walker. An Age and Spatially Structured Population Model for Proteus Mirabilis Swarm-Colony Development. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 7, pp. 49-77. doi : 10.1051/mmnp:2008041. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008041/

Cité par Sources :