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Fragmentation of biofilm-seeded bacterial aggregates in shear flow

Published online by Cambridge University Press:  20 February 2018

E. P. KIGHTLEY ,
A. PEARSON ,
J. A. EVANS  and
D. M. BORTZ
E. P. KIGHTLEY
Affiliation:
Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, USA emails: Eric.Kightley@colorado.edu, Antony.Pearson@colorado.edu, dmbortz@colorado.edu Interdisciplinary Quantitative Biology Graduate Program, University of Colorado, Boulder, CO 80309-596, USA
A. PEARSON
Affiliation:
Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, USA emails: Eric.Kightley@colorado.edu, Antony.Pearson@colorado.edu, dmbortz@colorado.edu Interdisciplinary Quantitative Biology Graduate Program, University of Colorado, Boulder, CO 80309-596, USA
J. A. EVANS
Affiliation:
Department of Aerospace Engineering Sciences, University of Colorado, Boulder, CO 80309-0429, USA email: john.a.evans@colorado.edu
D. M. BORTZ
Affiliation:
Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, USA emails: Eric.Kightley@colorado.edu, Antony.Pearson@colorado.edu, dmbortz@colorado.edu
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Abstract

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We present a model for the force acting to fragment a biofilm-seeded microbial aggregate in shear flow, which we derive by coupling an existing model for the shape and orientation of a deforming ellipsoid with one for the surface force density on a solid ellipsoid. The model can be used to simulate the motion, shape, surface force density, and breakage of colloidal aggregates in shear flow. We apply the model to the case of exhaustive fragmentation of microbial aggregates in order to compute a post-fragmentation density function, indicating the likelihood of a fragmenting aggregate yielding daughter aggregates of a certain size.

Keywords

76Z9974F1092C1035Q92
Type
Papers
Information
European Journal of Applied Mathematics , Volume 29 , Special Issue 6: Biofilms , December 2018 , pp. 1062 - 1078
Copyright
Copyright © Cambridge University Press 2018 

Footnotes

†

EPK is supported by the Interdisciplinary Quantitative Biology Program at the BioFrontiers Institute, University of Colorado Boulder (NSF IGERT 1144807) and by an NSF GRFP (DGE 1144083). This work was supported in part by grant NSF-DMS 1225878 to DMB.

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