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Persistence in a Single Species CSTR Model with Suspended Flocs and Wall Attached Biofilms

Masic, Alma LU and Eberl, Hermann J (2012) In Bulletin of Mathematical Biology 74(4). p.1001-1026
Abstract
We consider a mathematical model for a bacterial population in a continuously stirred tank reactor (CSTR) with wall attachment. This is a modification of the Freter model, in which we model the sessile bacteria as a microbial biofilm. Our analysis indicates that the results of the algebraically simpler original Freter model largely carry over. In a computational simulation study, we find that the vast majority of bacteria in the reactor will eventually be sessile. However, we also find that suspended biomass is relatively more efficient in removing substrate from the reactor than biofilm bacteria.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Biofilm – Mathematical model – CSTR – Wall attachment
in
Bulletin of Mathematical Biology
volume
74
issue
4
pages
1001 - 1026
publisher
Springer
external identifiers
  • wos:000301440700010
  • pmid:22131185
  • scopus:84857895450
ISSN
1522-9602
DOI
10.1007/s11538-011-9707-8
language
English
LU publication?
yes
id
b0a3ea39-d8b5-4c72-8684-83b6dc9453e1 (old id 2274716)
date added to LUP
2012-01-27 18:51:08
date last changed
2017-07-30 03:24:27
@article{b0a3ea39-d8b5-4c72-8684-83b6dc9453e1,
  abstract     = {We consider a mathematical model for a bacterial population in a continuously stirred tank reactor (CSTR) with wall attachment. This is a modification of the Freter model, in which we model the sessile bacteria as a microbial biofilm. Our analysis indicates that the results of the algebraically simpler original Freter model largely carry over. In a computational simulation study, we find that the vast majority of bacteria in the reactor will eventually be sessile. However, we also find that suspended biomass is relatively more efficient in removing substrate from the reactor than biofilm bacteria.},
  author       = {Masic, Alma and Eberl, Hermann J},
  issn         = {1522-9602},
  keyword      = {Biofilm – Mathematical model – CSTR – Wall attachment},
  language     = {eng},
  number       = {4},
  pages        = {1001--1026},
  publisher    = {Springer},
  series       = {Bulletin of Mathematical Biology},
  title        = {Persistence in a Single Species CSTR Model with Suspended Flocs and Wall Attached Biofilms},
  url          = {http://dx.doi.org/10.1007/s11538-011-9707-8},
  volume       = {74},
  year         = {2012},
}