Laurent Demaret, Hermann J. Eberl, Messoud A. Efendiev,
Piotr Maloszewski
Abstract:
An extension of biobarrier formation and bioclogging models is presented
that accounts for spatial expansion of the bacterial population in the soil.
The bacteria move into neighboring sites if locally almost all of the
available pore space is occupied and the environmental conditions are
such that further growth of the bacterial population is sustained.
This is described by a density-dependent, double degenerate
diffusion-equation that is coupled with the Darcy equations and a
transport-reaction equation for growth limiting substrates.
We conduct computational simulations of the governing differential
equation system.
Published April 15, 2009.
Math Subject Classifications: 35K65, 35M10, 68U20, 76S05, 92D25.
Key Words: Bioclogging; biofilm; hydrodynamics; porous medium;
mathematical model; nonlinear-diffusion; simulation.
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Laurent Demaret Institute of Biomathematics and Biometry, Helmholtz Zentrum München German Research Center for Environmental Health Ingolstädter Landstr 1, 85764 Neuherberg, Germany email: laurent.demaret@helmholtz-muenchen.de | |
Hermann J. Eberl Department of Mathematics and Statistics University of Guelph, Guelph, ON, N1G 2W1, Canada email: heberl@uoguelph.ca | |
Messoud A. Efendiev Institute of Biomathematics and Biometry, Helmholtz Zentrum München German Research Center for Environmental Health Ingolstädter Landstr 1, 85764 Neuherberg, Germany email: messoud.efendiyev@helmholtz-muenchen.de | |
Piotr Maloszewski Institute of Groundwater Ecology, Helmholtz Zentrum München German Research Center for Environmental Health Ingolstädter Landstr 1, 85764 Neuherberg, Germany email: maloszewski@helmholtz-muenchen.de |
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