AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA.
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| Title: | AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA. |
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| Authors: | SCHULZ, RAPHAEL1 raphael.schulz@math.fau.de, KNABNER, PETER1 knabner@math.fau.de |
| Source: | SIAM Journal on Applied Mathematics. 2017, Vol. 77 Issue 5, p153-1677. 25p. |
| Subjects: | Biofilms, Biofilms testing, Bacteria, Porous materials, Biomass |
| Abstract: | The article concerns the growth of biofilms made by chemotactical bacteria within a saturated porous media. The increase of a biomass on the surface of the solid matrix changes the porosity and impedes the ow through the pores. By formal periodic homogenization we derive an averaged model describing the process via Darcy's law and upscaled transport equations with effective coefficients given by the evolving microstructure at the pore-scale. Based on the assumption of uniform evolve of the underlying pore geometry and slight self-diffusivity of the bacteria, solvability in a weak sense global in time or at least up to a possible clogging phenomenon is shown in the two-dimensional case. Furthermore, by assuming sufficient regularity on the data we prove the boundedness of the solution. [ABSTRACT FROM AUTHOR] |
| Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 126381700 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22SCHULZ%2C+RAPHAEL%22">SCHULZ, RAPHAEL</searchLink><relatesTo>1</relatesTo><i> raphael.schulz@math.fau.de</i><br /><searchLink fieldCode="AR" term="%22KNABNER%2C+PETER%22">KNABNER, PETER</searchLink><relatesTo>1</relatesTo><i> knabner@math.fau.de</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Applied+Mathematics%22">SIAM Journal on Applied Mathematics</searchLink>. 2017, Vol. 77 Issue 5, p153-1677. 25p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Biofilms%22">Biofilms</searchLink><br /><searchLink fieldCode="DE" term="%22Biofilms+testing%22">Biofilms testing</searchLink><br /><searchLink fieldCode="DE" term="%22Bacteria%22">Bacteria</searchLink><br /><searchLink fieldCode="DE" term="%22Porous+materials%22">Porous materials</searchLink><br /><searchLink fieldCode="DE" term="%22Biomass%22">Biomass</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The article concerns the growth of biofilms made by chemotactical bacteria within a saturated porous media. The increase of a biomass on the surface of the solid matrix changes the porosity and impedes the ow through the pores. By formal periodic homogenization we derive an averaged model describing the process via Darcy's law and upscaled transport equations with effective coefficients given by the evolving microstructure at the pore-scale. Based on the assumption of uniform evolve of the underlying pore geometry and slight self-diffusivity of the bacteria, solvability in a weak sense global in time or at least up to a possible clogging phenomenon is shown in the two-dimensional case. Furthermore, by assuming sufficient regularity on the data we prove the boundedness of the solution. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1137/16M108817X Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 25 StartPage: 153 Subjects: – SubjectFull: Biofilms Type: general – SubjectFull: Biofilms testing Type: general – SubjectFull: Bacteria Type: general – SubjectFull: Porous materials Type: general – SubjectFull: Biomass Type: general Titles: – TitleFull: AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: SCHULZ, RAPHAEL – PersonEntity: Name: NameFull: KNABNER, PETER IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: 2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 00361399 Numbering: – Type: volume Value: 77 – Type: issue Value: 5 Titles: – TitleFull: SIAM Journal on Applied Mathematics Type: main |
| ResultId | 1 |
