A microscale model of bacterial and biofilm dynamics in porous media

A microscale model for the transport and coupled reaction of microbes and chemicals in an idealized two‐dimensional porous media has been developed. This model includes the flow, transport, and bioreaction of nutrients, electron acceptors, and microbial cells in a saturated granular porous media. The fluid and chemicals are represented as a continuum, but the bacterial cells and solid granular particles are represented discretely. Bacterial cells can attach to the particle surfaces or be advected in the bulk fluid. The bacterial cells can also be motile and move preferentially via a run and tumble mechanism toward a chemoattractant. The bacteria consume oxygen and nutrients and alter the profiles of these chemicals. Attachment of bacterial cells to the soil matrix and growth of bacteria can change the local permeability. The coupling of mass transport and bioreaction can produce spatial gradients of nutrients and electron acceptor concentrations. We describe a numerical method for the microscale model, show results of a convergence study, and present example simulations of the model system. © 2000 John Wiley & Sons, Inc. Biotechnol Bioeng 68: 536–547, 2000.

[1]  G. Hedstrom,et al.  Numerical Solution of Partial Differential Equations , 1966 .

[2]  A. Chorin Numerical solution of the Navier-Stokes equations , 1968 .

[3]  C. Peskin Numerical analysis of blood flow in the heart , 1977 .

[4]  A. Fogelson A MATHEMATICAL MODEL AND NUMERICAL METHOD FOR STUDYING PLATELET ADHESION AND AGGREGATION DURING BLOOD CLOTTING , 1984 .

[5]  L. Fauci,et al.  A computational model of aquatic animal locomotion , 1988 .

[6]  C. Peskin,et al.  A three-dimensional computational method for blood flow in the heart. II. contractile fibers , 1989 .

[7]  Philippe C. Baveye,et al.  An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers , 1989 .

[8]  C. Peskin,et al.  A three-dimensional computational method for blood flow in the heart. 1. Immersed elastic fibers in a viscous incompressible fluid , 1989 .

[9]  Pasquale Cinnella,et al.  Numerical Simulation of Biofilm Processes in Closed Conduits , 1993 .

[10]  A. Fogelson,et al.  Truncated newton methods and the modeling of complex immersed elastic structures , 1993 .

[11]  Richard E. Ewing,et al.  Two‐dimensional modeling of microscale transport and biotransformation in porous media , 1994 .

[12]  D. Gaver,et al.  A microscale model of bacterial swimming, chemotaxis and substrate transport. , 1995, Journal of theoretical biology.

[13]  Robert Dillon,et al.  Modeling Biofilm Processes Using the Immersed Boundary Method , 1996 .

[14]  Paul L. Bishop,et al.  Biofilm structire and kinetics , 1997 .

[15]  Randall J. LeVeque,et al.  Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension , 1997, SIAM J. Sci. Comput..

[16]  J. Wimpenny,et al.  A unifying hypothesis for the structure of microbial biofilms based on cellular automaton models , 1997 .

[17]  Rune Bakke,et al.  Biofilm morphology in porous media, a study with microscopic and image techniques , 1997 .

[18]  J J Heijnen,et al.  Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach. , 1998, Biotechnology and bioengineering.

[19]  Jeanne M. VanBriesen,et al.  Multicomponent transport with coupled geochemical and microbiological reactions: model description and example simulations , 1998 .

[20]  A. Popel,et al.  Large deformation of red blood cell ghosts in a simple shear flow. , 1998, Physics of fluids.

[21]  Slawomir W. Hermanowicz A model of two-dimensional biofilm morphology , 1998 .

[22]  Charles S. Peskin,et al.  Modeling Arteriolar Flow and Mass Transport Using the Immersed Boundary Method , 1998 .

[23]  R. D,et al.  A Mathematical Model for Outgrowth and Spatial Patterning of the Vertebrate Limb Bud , 1999 .