The Effect of Cell Death on the Stability of a Growing Biofilm

H. A. Wallace, L. Li, F. A. Davidson (Lead / Corresponding author)

Research output: Contribution to journalArticle

2 Citations (Scopus)
155 Downloads (Pure)

Abstract

In this paper, we investigate the role of cell death in promoting pattern formation within bacterial biofilms. To do this we utilise an extension of the model proposed by Dockery and Klapper [13], and consider the effects of two distinct death rates. Equations describing the evolution of a moving biofilm interface are derived, and properties of steady state solutions are examined. In particular, a comparison of the planar behaviour of the biofilm interface in the different cases of cell death is investigated. Linear stability analysis is carried out at steady state solutions of the interface, and it is shown that, under certain conditions, instabilities may arise. Analysis determines that, while the emergence of patterns is a possibility in 'deep' biofilms, it is unlikely that pattern formation will arise in 'shallow' biofilms.

Original languageEnglish
Pages (from-to)33-48
Number of pages16
JournalMathematical Modelling of Natural Phenomena
Volume11
Issue number5
Early online date7 Dec 2016
DOIs
Publication statusPublished - 2016

Keywords

  • Biofilm
  • Cell-death
  • Expansion
  • Free boundary
  • Mathematical
  • Modelling

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