Hermann J. Eberl & Messoud A. Efendiev
Abstract:
A mathematical model is presented that describes the disinfection of
microbial biofilms by antibiotics.
It is the first multi-species/multi-substrate generalization of a
continuous prototype biofilm model comprising degenerating
as well as fast diffusion. The boundedness of the model solution is
established. The dynamic model behaviour in dependence of model parameters
is studied by numerical simulations.
A characteristic dimensionless parameter, the disinfection number,
is derived, allowing an a priori statement whether all active
biomass will be removed or not.
Published February 28, 2003.
Subject classifications: 92D25, 92C50, 35K65.
Key words: Biofilms, antibiotic disinfection, simulation,
nonlinear diffusion-reaction.
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Hermann J. Eberl Institute of Biomathematics and Biometry GSF - National Research Centre for Environment and Health Pf. 1129, D-85758 Neuherberg, Germany Dept. Mathematics and Statistics, University of Guelph Guelph, On, N1G2W1, Canada e-mail: eberl@gsf.de and heberl@uoguelph.ca fon: +1(519) 824 4120 ext. 52622 |
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Messoud A. Efendiev Institute of Mathematics A University of Stuttgart Pfaffenwaldring 57, D-70569 Stuttgart, Germany e-mail: efendiev@mathematik.uni-stuttgart.de |
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