Upscaling microbial chemotaxis in porous media

Advances in Water Resources

Volumn 32, Issue 9, 2009, Pages 1413-1428

  Valdés Parada, Francisco J ^a   Porter, Mark L ^a   Narayanaswamy, Karthik ^b   Ford, Roseanne M ^c   Wood, Brian D ^a  

^a 1148 Kelley Engineering Center Corvallis   (United States)

^b URS CORPORATION   (United States)

^c University of Virginia   (United States)

Author keywords

Bioaugmentation; Closure problem; Dispersion; Effective motility; Microbial chemotaxis; Porous media; Volume averaging

Indexed keywords

BIOAUGMENTATION; CLOSURE PROBLEM; EFFECTIVE MOTILITY; MICROBIAL CHEMOTAXIS; POROUS MEDIA; VOLUME AVERAGING;

BIOCHEMISTRY; BIODEGRADATION; BIOREMEDIATION; DEGRADATION; DISPERSIONS; FLOW OF FLUIDS; GROUNDWATER; GROUNDWATER POLLUTION; HYDROGEOLOGY; MICROBIOLOGY; POROUS MATERIALS;

TRANSPORT PROPERTIES;

BIODEGRADATION; DISPERSION; FLUID FLOW; MASS BALANCE; MICROSTRUCTURE; POROUS MEDIUM;

BACTERIA (MICROORGANISMS);

EID: 68649093439     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2009.06.010     Document Type: Article

References (54)

1. Purcell E.M. Life at low Reynolds number. Am J Phys 45 (1977) 3-11
2. Stock A., and Mowbray S. Bacterial chemotaxis: A field in motion. Curr Opin Struct Biol 5 (1995) 744-751
3. Duffy K.J., Ford R.M., and Cummings P.T. Residence time calculation for chemotactic bacteria within porous media. Biophys J 73 (1997) 2930-2936
4. Long W., and Hilpert M. Lattice-Boltzmann modeling of contaminant degradation by chemotactic bacteria: Exploring the formation and movement of bacterial bands. Water Resour Res 44 (2008) W09415
5. Engelmann T.W. On the biology of schizomycetes. Pflügers Archiv für die Gesamte Physiologie des Menschen und der Tiere 25 (1881) 537-545
6. Pfeffer W. Locomotrische richtungsbewegun- gen durch chemische reize. Untersuchungen aus dem Botanischen Institut Tübingen 1 (1884) 363-482
7. Beijerinck M.W. Ueber atmungsfiguren beweglicher bakterien. Zentralbl Bakteriol Parasitenkd 14 (1893) 827-845
8. Adler J. Chemotaxis in bacteria. Science 153 (1966) 708-716
9. Barton J.W., and Ford R.M. Mathematical model for characterization of bacterial migration through sand cores. Biotechnol Bioeng 53 (1997) 487-496
10. Duffy K.J., Cummings P.T., and Ford R.M. Random walk calculations for bacterial migration in porous media. Biophys J 68 (1995) 800-806
11. Marx R., and Aitken M.D. A material-balance approach for modeling bacterial chemotaxis to a consumable substrate in the capillary assay. Biotechnol Bioeng 68 (2000) 308-315
12. Marx R.B., and Aitken M.D. Bacterial chemotaxis enhances naphthalene degradation in a heterogeneous aqueous system. Environ Sci Technol 34 (2000) 3379-3383
13. Lanning L.M., and Ford R.M. Glass micromodel study of bacterial dispersion in spatially periodic porous networks. Biotechnol Bioeng 78 (2002) 556-566
14. Pedit J.A., Marx R.B., Miller C.T., and Aitken M.D. Quantitative analysis of experiments on bacterial chemotaxis to naphtalene. Biotechnol Bioeng 78 (2002) 626-634
15. Olson M.S., Ford R.M., Smith J.A., and Fernandez E.J. Quantification of bacterial chemotaxis in porous media using magnetic resonance imaging (mri). Environ Sci Technol 38 (2004) 3864-3870
16. Sen T.K., Das D., Khilar K.C., and Suraishkumar G. Bacterial transport in porous media: new aspects of the mathematical model. Colloids Surf A: Physicochem Eng Aspects 260 (2005) 53-62
17. Ford R.M., and Harvey R.W. Role of chemotaxis in the transport of bacteria through saturated porous media. Adv Water Resour 30 (2007) 1608-1617
18. Long W., and Hilpert M. Analytical solutions for bacterial energy taxis (chemotaxis): Traveling bacterial bands. Adv Water Resour 30 (2007) 2262-2270
19. Nelson K.K., and Ginn T.R. Theoretical investigation of bacterial chemotaxis in porous media. Langmuir 17 (2001) 5636-5645
20. Barton J.W., and Ford R.M. Determination of effective transport coefficients for bacterial migration in sand columns. Appl Environ Microbiol 61 (1995) 3329-3335
21. Wang M., Ford R.M., and Harvey R.W. Coupled effect of chemotaxis and growth on microbial distributions in organic-amended aquifer sediments: Observations from laboratory and field studies. Environ Sci Technol 42 (2008) 3556-3562
22. Whitaker S. The method of volume averaging (1999), Kluwer Academic Publishers
23. Philips B., and Quinn J. Random motility of swimming bacteria: Single cells compared to cell population. AIChE J 40 (1994) 334-348
24. Keller E.F., and Segel L.A. Model for chemotaxis. J Theor Biol 30 (1971) 225-234
25. Keller E.F., and Segel L.A. Traveling bands of chemotactic bacteria: A theoretical work. J Theor Biol 30 (1971) 235-248
26. Rivero M.A., Tranquillo R.T., Buettner H.M., and Lauffenburger D. Transport models for chemotactic cell populations based on individual cell behavior. Chem Eng Sci 44 (1989) 2881-2897
27. Ford R.M., and Lauffenburger D.A. Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients. Bull Math Biol 53 (1991) 721-749
28. Ford R.M., and Lauffenburger D.A. Measurement of bacterial random motility and chemotaxis coefficients II: Application of single cell-based mathematical model. Biotechnol Bioeng 37 (1991) 661-672
29. Kim M., and Breuer K. Enhanced diffusion due to motile bacteria. Phys Fluids 16 9 (2004) L78-L81
30. Lapidus I.R., and Schiller R. Model for the chemotactic response of a bacterial population. Biophys J 16 (1976) 779-789
31. Ford R.M., and Cummings P.T. On the relationship between cell balance equations for chemotactic cell population. SIAM J Appl Math 52 5 (1992) 1426-1441
32. Chen K.C., Ford R.M., and Cummings P.T. Mathematical models for motile bacterial transport in cylindrical tubes. J Theor Biol 195 (1998) 481-504
33. Frymer P.D., and Ford R.M. Analysis of bacterial swimming speed approaching a solid-liquid interface. AIChE J 43 (1997) 1341-1347
34. Brenner H. The slow motion of a sphere through a viscous fluid towards a plane surface. Chem Eng Sci 16 (1961) 242-251
35. Dahneke B. Diffusional deposition of particles. J Colloid Interf Sci 48 (1974) 520-522
36. Wood B.D., Quintard M., and Whitaker S. Estimation of adsorption rate coefficients based on the Smoluchowski equation. Chem Eng Sci 59 (2004) 1905-1921
37. Marx R., and Aitken M.D. Quantification of chemotaxis to naphthalene by Pseudomonas putida g7. Appl Environ Microbiol 65 (1999) 2847-2852
38. Hilpert M. Lattice-Boltzmann model for bacterial chemotaxis. J Math Biol 51 (2005) 302-332
39. Horstmann D. From 1970 until present: The Keller-Segel model in chemotaxis and its consequences I. Jahresbericht der DMV 105 (2003) 103-165
40. Horstmann D. From 1970 until present: The Keller-Segel model in chemotaxis and its consequences II. Jahresbericht der DMV 106 (2004) 51-69
41. Hillen T., and Painter K. A user's guide to pde models for chemotaxis. J Math Biol 58 (2009) 183-217
42. Tindall M., Maini P., Porter S., and Armitage J. Overview of mathematical approaches used to model bacterial chemotaxis II: Bacterial populations. Bull Math Biol 70 (2008) 1570-1607
43. Lanning L.M., Ford R.M., and Long T. Bacterial chemotaxis transverse to axial flow in a microfluidic channel. Biotechnol Bioeng 100 (2008) 653-663
44. Baveye P., and Sposito G. The operational significance of the continuum hypothesis in the theory of water movement through soils and aquifers. Water Resour Res 20 (1984) 521-530
45. Cushman J.H. On unifying the concepts of scale, instrumentation, and stochastics in the development of multiphase transport theory. Water Resour Res 20 (1984) 1668-1676
46. Quintard M., and Whitaker S. Transport in ordered and disordered porous media I: The cellular average and the use of weighting functions. Transport Porous Media 14 (1994) 163-177
47. Quintard M., and Whitaker S. Transport in ordered and disordered porous media II: Generalized volume averaging. Transport Porous Media 14 (1994) 179-206
48. Wood B. The role of scaling laws in upscaling. Adv Water Resour 32 (2009) 723-736
49. Howes F.A., and Whitaker S. The spatial averaging theorem revisited. Chem Eng Sci 40 (1985) 1387-1392
50. Gray W. A derivation of the equations for multiphase flow. Chem Eng Sci 30 (1975) 229-233
51. Whitaker S. Levels of simplification: The use of assumptions, restrictions, and constraints in engineering analysis. Chem Eng Educ 22 (1988) 104-108
52. Quintard M., and Whitaker S. Transport in ordered and disordered porous media IV: Computer generated porous media for three-dimensional systems. Transport Porous Media 15 (1994) 51-70
53. Wood B.D. Inertial effects in dispersion in porous media. Water Resour Res 43 (2007) W12S16
54. Ryan D., Carbonell R.G., and Whitaker S. A theory of diffusion and reaction in porous media. AIChE Sym Series 71 (1981) 46-62