Geodesic
Numerical Modeling of The Quorum Sensing In a Bacterial Biofilm
A. Blouza1 ; L. El Alaoui2
1MRS, CNRS-Université de Rouen Normandie, 76801 Saint-Etienne-du-Rouvray, France
2Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS (UMR 7539), Laboratoire d’excellence Inflamex, F-93430 Villetaneuse, France
ESAIM. Proceedings, Tome 62 (2018), pp. 17-29
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In the present paper we propose a bi-dimensional non-linear reaction-diffusion model de-scribing the action of antibiotics as well as quorum sensing inhibitors agents on the virulence of bacteria biofilms. We thus approximate the system by a standard finite element scheme in space and an implicit Euler method in time. We prove the existence and uniqueness of a solution to this system and prove its convergence to a weak solution of the model we introduce. We present numerical results for simulating the quorum sensing of the very human pathogenic bacteria Pseudomenas aeruginosa.
DOI : 10.1051/proc/201862017

A. Blouza  1   ; L. El Alaoui  2

1 MRS, CNRS-Université de Rouen Normandie, 76801 Saint-Etienne-du-Rouvray, France
2 Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS (UMR 7539), Laboratoire d’excellence Inflamex, F-93430 Villetaneuse, France 
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     author = {A. Blouza and L. El Alaoui},
     title = {Numerical {Modeling} of {The} {Quorum} {Sensing} {In} a {Bacterial} {Biofilm}},
     journal = {ESAIM. Proceedings},
     pages = {17--29},
     year = {2018},
     volume = {62},
     doi = {10.1051/proc/201862017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201862017/}
}
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A. Blouza; L. El Alaoui. Numerical Modeling of The Quorum Sensing In a Bacterial Biofilm. ESAIM. Proceedings, Tome 62 (2018), pp. 17-29. doi: 10.1051/proc/201862017

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