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Heterogeneity formation within biofilm systems

Published online by Cambridge University Press:  16 July 2018

ANDREAS C. ARISTOTELOUS ,
YURY GRABOVSKY  and
ISAAC KLAPPER
ANDREAS C. ARISTOTELOUS
Affiliation:
Department of Mathematics, West Chester University, West Chester, PA, USA
YURY GRABOVSKY
Affiliation:
Department of Mathematics, Temple University, Philadelphia, PA, USA email: [email protected]
ISAAC KLAPPER
Affiliation:
Department of Mathematics, Temple University, Philadelphia, PA, USA email: [email protected]
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Abstract

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Biofilms, and collections of embedded microbial communities, present structural heterogeneities with functional consequences for important processes, such as transport. The origin of such structures has been unclear. Here, we propose that they can arise as a consequence of diffusive transport limitation. To illustrate, a model allowing internal heterogeneity is developed. Linear analysis is applied to a simplified version of the model suggesting that heterogeneity forms on (or below) the active layer length, a length scale that may not be suitable for homogenization, with non-trivial implications for system scale properties such as reduction in system-wide diffusive transport efficiency. Numerics suggest that the simplified model provides useful insight into behaviour of the full model. We then show examples based on microcolony formation in host domains and argue that internal heterogeneity can be related to community function.

Keywords

Biofilmsheterogeneitydiffusive transport
Type
Papers
Information
European Journal of Applied Mathematics , Volume 29 , Special Issue 6: Biofilms , December 2018 , pp. 1020 - 1034
Copyright
Copyright © Cambridge University Press 2018 

Footnotes

† The authors acknowledge funding provided for this project by NSF Award Nos. 1517100 and 1720226, and NIH Award No. R01GM109452.

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