Mathematical modeling of dispersal phenomenon in biofilms
Mathematical modeling of dispersal phenomenon in biofilms
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.
Multispecies biofilms, Biofilm motility, Biofilm dispersal, Nonlinear hyperbolic and parabolic partial differential equations , Numerical simulations, Free boundary problems
D'Acunto, B.
82b4a477-e2e8-4d08-8b61-c8181de3e6fa
Frunzo, L.
43a09387-c78f-4e9a-a741-f9ffb0639af4
Klapper, I.
172c7aab-43e8-4249-bad1-378812bc3074
Mattei, M.R.
86782532-fa06-4a14-9dd9-13ac3d74f06b
Stoodley, P.
08614665-92a9-4466-806e-20c6daeb483f
D'Acunto, B.
82b4a477-e2e8-4d08-8b61-c8181de3e6fa
Frunzo, L.
43a09387-c78f-4e9a-a741-f9ffb0639af4
Klapper, I.
172c7aab-43e8-4249-bad1-378812bc3074
Mattei, M.R.
86782532-fa06-4a14-9dd9-13ac3d74f06b
Stoodley, P.
08614665-92a9-4466-806e-20c6daeb483f
D'Acunto, B., Frunzo, L., Klapper, I., Mattei, M.R. and Stoodley, P.
(2018)
Mathematical modeling of dispersal phenomenon in biofilms.
Bulletin of Mathematical Biology.
(doi:10.1016/j.mbs.2018.07.009).
Abstract
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.
Text
Mathematical modeling of dispersal phenomenon in biofilms accepted version
- Accepted Manuscript
More information
Accepted/In Press date: 24 July 2018
e-pub ahead of print date: 1 August 2018
Keywords:
Multispecies biofilms, Biofilm motility, Biofilm dispersal, Nonlinear hyperbolic and parabolic partial differential equations , Numerical simulations, Free boundary problems
Identifiers
Local EPrints ID: 422880
URI: http://eprints.soton.ac.uk/id/eprint/422880
ISSN: 0092-8240
PURE UUID: b73ccfc1-5fdf-4c59-b729-9231fa3523e9
Catalogue record
Date deposited: 07 Aug 2018 16:30
Last modified: 16 Mar 2024 06:57
Export record
Altmetrics
Contributors
Author:
B. D'Acunto
Author:
L. Frunzo
Author:
I. Klapper
Author:
M.R. Mattei
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
