A 2D channel-clogging biofilm model
type: Item
instance of: scholarly article
title: A 2D channel-clogging biofilm model
zbMATH Open document ID: 1326.92051
author: H. F. Winstanley
author: Michael Chapwanya
author: A. C. Fowler
author: Stephen B. G. O'Brien
published in: Journal of Mathematical Biology
publication date: 2015-09-11T00:00:00Z
full work available at URL: http://hdl.handle.net/2263/49989
review text: Based on authors' abstract: The authors present a model of biofilm growth in a long channel where the biomass is assumed to have the rheology of a viscous polymer solution. The competition between growth and erosion-like surface detachment due to the flow is examined. A particular focus of the investigation is the effect of the biofilm growth on the fluid flow in the pores, and the issue of whether biomass can grow sufficiently to shut off fluid flow through the pores, thus clogging the pore space. Net biofilm growth is coupled along the pore length via flow rate and nutrient transport in the pore flow. The present 2D model extends existing results on stability of 1D steady state biofilm thicknesses to show that, in the case of flows driven by a fixed pressure drop, full clogging of the pore can indeed happen in certain cases dependent on the functional form of the detachment term.
Mathematics Subject Classification ID: 92C99
Mathematics Subject Classification ID: 76A20
zbMATH DE Number: 6480838
zbMATH Keywords: biofilm
zbMATH Keywords: detachment
zbMATH Keywords: clogging
zbMATH Keywords: channel
zbMATH Keywords: mathematical model
Wikidata QID: Q46836130
MaRDI profile type: Publication
OpenAlex ID: W2039261748
cites work: Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates
cites work: Productivity and equilibrium in simple biofilm models
cites work: Path integrals, the ABL rule and the three-box paradox
cites work: A polymer–solvent model of biofilm growth
DOI: 10.1007/S00285-014-0833-4
description: scientific article; zbMATH DE number 6480838