Seventh Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 17 (2009), pp. 51-69. 

Title: A simple bioclogging model that accounts for spatial
       spreading of bacteria

Authors: Laurent Demaret (German Research Center for Environ. Health, Germany)
         Hermann J. Eberl (Univ. of Guelph, Canada)
	 Messoud A. Efendiev (German Research Center for Environ. Health, Germany)
	 Piotr Maloszewski (German Research Center for Environ. Health, Germany)
 
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.