Mathematical Description of Microbial Biofilms

被引：149

作者：

Klapper, Isaac ^{[1
]}

Dockery, Jack ^{[1
]}

机构：

[1] Montana State Univ, Dept Math Sci, Ctr Biofilm Engn, Bozeman, MT 59717 USA

来源：

SIAM REVIEW | 2010年 / 52卷 / 02期

关键词：

biofilms; quorum sensing; biomechanics; antimicrobial tolerance; PSEUDOMONAS-AERUGINOSA BIOFILM; 3-DIMENSIONAL COMPUTER-MODEL; GREEN FLUORESCENT PROTEIN; CELLULAR-AUTOMATON MODEL; QUORUM-SENSING SIGNALS; PHASE-FIELD MODELS; BACTERIAL BIOFILMS; GENE-EXPRESSION; STAPHYLOCOCCUS-AUREUS; ADAPTIVE RESISTANCE;

D O I：

10.1137/080739720

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe microbial communities denoted biofilms and efforts to model some of their important aspects, including quorum sensing, growth, mechanics, and antimicrobial tolerance mechanisms.

引用

页码：221 / 265

页数：45

共 270 条

[1] Allison DG, 2003, BIOFOULING, V19, P139, DOI [10.1080/0892701031000072190, 10.1038/nrmicro2415]
[2] Description of mechanical response including detachment using a novel particle model of biofilm/flow interaction
Alpkvist, E.
Klapper, I.
[J]. WATER SCIENCE AND TECHNOLOGY, 2007, 55 (8-9) : 265 - 273
[3] A new mathematical model for chemotactic bacterial colony growth
Alpkvist, E
Overgaard, NC
Gustafsson, S
Heyden, A
[J]. WATER SCIENCE AND TECHNOLOGY, 2004, 49 (11-12) : 187 - 192
[4] A multidimensional multispecies continuum model for heterogeneous biofilm development
Alpkvist, Erik
Klapper, Isaac
[J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2007, 69 (02) : 765 - 789
[5] Three-dimensional biofilm model with individual cells and continuum EPS matrix
Alpkvist, Erik
Picioreanu, Cristian
van Loosdrecht, Mark C. M.
Heyden, Anders
[J]. BIOTECHNOLOGY AND BIOENGINEERING, 2006, 94 (05) : 961 - 979
[6] Andersen JB, 1998, APPL ENVIRON MICROB, V64, P2240
[7] Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feed back systems
Angeli, D
Ferrell, JE
Sontag, ED
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2004, 101 (07) : 1822 - 1827
[8] A multi-phase mathematical model of quorum sensing in a maturing Pseudomonas aeruginosa biofilm
Anguige, K.
King, J. R.
Ward, J. P.
[J]. MATHEMATICAL BIOSCIENCES, 2006, 203 (02) : 240 - 276
[9] Modelling antibiotic- and anti-quorum sensing treatment of a spatially-structured Pseudomonas aeruginosa population
Anguige, K
King, JR
Ward, JP
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2005, 51 (05) : 557 - 594
[10] Mathematical modelling of therapies targeted at bacterial quorum sensing
Anguige, K
King, JR
Ward, JP
Williams, P
[J]. MATHEMATICAL BIOSCIENCES, 2004, 192 (01) : 39 - 83

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