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A simple bioclogging model that accounts for spatial spreading of bacteria.

Electron. J. Differ. Equ., 51-69 (2009)
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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.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Bioclogging; biofilm; hydrodynamics; porous medium; mathematical model; nonlinear-diffusion; simulation
e-ISSN 1072-6691
Quellenangaben Band: , Heft: , Seiten: 51-69 Artikelnummer: , Supplement: ,
Reihe Seventh Mississippi State - UAB Conference on Differential Equations and Computational Simulations
Verlag Southwest Texas State University
Verlagsort San Marcos
Begutachtungsstatus Peer reviewed