Document Detail

Early development and quorum sensing in bacterial biofilms.
MedLine Citation:
PMID:  12827447     Owner:  NLM     Status:  MEDLINE    
We develop mathematical models to examine the formation, growth and quorum sensing activity of bacterial biofilms. The growth aspects of the model are based on the assumption of a continuum of bacterial cells whose growth generates movement, within the developing biofilm, described by a velocity field. A model proposed in Ward et al. (2001) to describe quorum sensing, a process by which bacteria monitor their own population density by the use of quorum sensing molecules (QSMs), is coupled with the growth model. The resulting system of nonlinear partial differential equations is solved numerically, revealing results which are qualitatively consistent with experimental ones. Analytical solutions derived by assuming uniform initial conditions demonstrate that, for large time, a biofilm grows algebraically with time; criteria for linear growth of the biofilm biomass, consistent with experimental data, are established. The analysis reveals, for a biologically realistic limit, the existence of a bifurcation between non-active and active quorum sensing in the biofilm. The model also predicts that travelling waves of quorum sensing behaviour can occur within a certain time frame; while the travelling wave analysis reveals a range of possible travelling wave speeds, numerical solutions suggest that the minimum wave speed, determined by linearisation, is realised for a wide class of initial conditions.
John P Ward; John R King; Adrian J Koerber; Julie M Croft; R Elizabeth Sockett; Paul Williams
Related Documents :
11965257 - Variable effort harvesting models in random environments: generalization to density-dep...
11969967 - Kinetics of phase ordering of nematic liquid crystals confined in porous media.
23005957 - Marginal stability constrains force and pair distributions at random close packing.
16592357 - Unstable spiral modes in disk-shaped galaxies: enhancement of growth rate.
21770507 - Surface wrinkling patterns on a core-shell soft sphere.
15384437 - Fully three-dimensional modeling of the fabrication and behavior of photonic crystals f...
Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Journal of mathematical biology     Volume:  47     ISSN:  0303-6812     ISO Abbreviation:  J Math Biol     Publication Date:  2003 Jul 
Date Detail:
Created Date:  2003-06-26     Completed Date:  2004-03-25     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  7502105     Medline TA:  J Math Biol     Country:  Germany    
Other Details:
Languages:  eng     Pagination:  23-55     Citation Subset:  IM    
Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms
Bacteria / growth & development*
Biofilms / growth & development*
Computer Simulation
Models, Biological*
Numerical Analysis, Computer-Assisted

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

Previous Document:  On the algebraic representation of RNA secondary structures with G x U pairs.
Next Document:  The evolution of resource use.