Mathematical modeling of dispersal phenomenon in biofilms.
Biofilm dispersal
Biofilm motility
Free boundary problems
Multispecies biofilms
Nonlinear hyperbolic and parabolic partial differential equations
Numerical simulations
Journal
Mathematical biosciences
ISSN: 1879-3134
Titre abrégé: Math Biosci
Pays: United States
ID NLM: 0103146
Informations de publication
Date de publication:
01 2019
01 2019
Historique:
received:
09
02
2017
revised:
05
12
2017
accepted:
24
07
2018
pubmed:
5
8
2018
medline:
31
8
2019
entrez:
5
8
2018
Statut:
ppublish
Résumé
A mathematical model for dispersal phenomenon in multispecies biofilm based on a continuum approach and mass conservation principles is presented. The formation of dispersed cells is modeled by considering a mass balance for the bulk liquid and the biofilm. Diffusion of these cells within the biofilm and in the bulk liquid is described using a diffusion-reaction equation. Diffusion supposes a random character of mobility. Notably, biofilm growth is modeled by a hyperbolic partial differential equation while the diffusion process of dispersed cells by a parabolic partial differential equation. The two are mutually connected but governed by different equations that are coupled by two growth rate terms. Three biological processes are discussed. The first is related to experimental observations on starvation induced dispersal [1]. The second considers diffusion of a non-lethal antibiofilm agent which induces dispersal of free cells. The third example considers dispersal induced by a self-produced biocide agent.
Identifiants
pubmed: 30076852
pii: S0025-5564(17)30068-8
doi: 10.1016/j.mbs.2018.07.009
pii:
doi:
Types de publication
Journal Article
Research Support, N.I.H., Extramural
Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.
Langues
eng
Sous-ensembles de citation
IM
Pagination
70-87Subventions
Organisme : NIGMS NIH HHS
ID : R01 GM109452
Pays : United States
Informations de copyright
Copyright © 2018 Elsevier Inc. All rights reserved.