Handle URI:
http://hdl.handle.net/10754/598531
Title:
Hydrodynamic dispersion within porous biofilms
Authors:
Davit, Y.; Byrne, H.; Osborne, J.; Pitt-Francis, J.; Gavaghan, D.; Quintard, M.
Abstract:
Many microorganisms live within surface-associated consortia, termed biofilms, that can form intricate porous structures interspersed with a network of fluid channels. In such systems, transport phenomena, including flow and advection, regulate various aspects of cell behavior by controlling nutrient supply, evacuation of waste products, and permeation of antimicrobial agents. This study presents multiscale analysis of solute transport in these porous biofilms. We start our analysis with a channel-scale description of mass transport and use the method of volume averaging to derive a set of homogenized equations at the biofilm-scale in the case where the width of the channels is significantly smaller than the thickness of the biofilm. We show that solute transport may be described via two coupled partial differential equations or telegrapher's equations for the averaged concentrations. These models are particularly relevant for chemicals, such as some antimicrobial agents, that penetrate cell clusters very slowly. In most cases, especially for nutrients, solute penetration is faster, and transport can be described via an advection-dispersion equation. In this simpler case, the effective diffusion is characterized by a second-order tensor whose components depend on (1) the topology of the channels' network; (2) the solute's diffusion coefficients in the fluid and the cell clusters; (3) hydrodynamic dispersion effects; and (4) an additional dispersion term intrinsic to the two-phase configuration. Although solute transport in biofilms is commonly thought to be diffusion dominated, this analysis shows that hydrodynamic dispersion effects may significantly contribute to transport. © 2013 American Physical Society.
Citation:
Davit Y, Byrne H, Osborne J, Pitt-Francis J, Gavaghan D, et al. (2013) Hydrodynamic dispersion within porous biofilms. Phys Rev E 87. Available: http://dx.doi.org/10.1103/PhysRevE.87.012718.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
23-Jan-2013
DOI:
10.1103/PhysRevE.87.012718
PubMed ID:
23410370
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
This publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are also grateful to the two anonymous reviewers for their valuable comments.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorDavit, Y.en
dc.contributor.authorByrne, H.en
dc.contributor.authorOsborne, J.en
dc.contributor.authorPitt-Francis, J.en
dc.contributor.authorGavaghan, D.en
dc.contributor.authorQuintard, M.en
dc.date.accessioned2016-02-25T13:31:40Zen
dc.date.available2016-02-25T13:31:40Zen
dc.date.issued2013-01-23en
dc.identifier.citationDavit Y, Byrne H, Osborne J, Pitt-Francis J, Gavaghan D, et al. (2013) Hydrodynamic dispersion within porous biofilms. Phys Rev E 87. Available: http://dx.doi.org/10.1103/PhysRevE.87.012718.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23410370en
dc.identifier.doi10.1103/PhysRevE.87.012718en
dc.identifier.urihttp://hdl.handle.net/10754/598531en
dc.description.abstractMany microorganisms live within surface-associated consortia, termed biofilms, that can form intricate porous structures interspersed with a network of fluid channels. In such systems, transport phenomena, including flow and advection, regulate various aspects of cell behavior by controlling nutrient supply, evacuation of waste products, and permeation of antimicrobial agents. This study presents multiscale analysis of solute transport in these porous biofilms. We start our analysis with a channel-scale description of mass transport and use the method of volume averaging to derive a set of homogenized equations at the biofilm-scale in the case where the width of the channels is significantly smaller than the thickness of the biofilm. We show that solute transport may be described via two coupled partial differential equations or telegrapher's equations for the averaged concentrations. These models are particularly relevant for chemicals, such as some antimicrobial agents, that penetrate cell clusters very slowly. In most cases, especially for nutrients, solute penetration is faster, and transport can be described via an advection-dispersion equation. In this simpler case, the effective diffusion is characterized by a second-order tensor whose components depend on (1) the topology of the channels' network; (2) the solute's diffusion coefficients in the fluid and the cell clusters; (3) hydrodynamic dispersion effects; and (4) an additional dispersion term intrinsic to the two-phase configuration. Although solute transport in biofilms is commonly thought to be diffusion dominated, this analysis shows that hydrodynamic dispersion effects may significantly contribute to transport. © 2013 American Physical Society.en
dc.description.sponsorshipThis publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are also grateful to the two anonymous reviewers for their valuable comments.en
dc.publisherAmerican Physical Society (APS)en
dc.titleHydrodynamic dispersion within porous biofilmsen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversite de Toulouse, Toulouse, Franceen
dc.contributor.institutionIMFT Institut de Mecaniques des Fluides, Toulouse, Franceen
kaust.grant.numberKUK-C1-013-04en

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