A new mathematical model for chemotactic bacterial colony growth

被引:10
作者
Alpkvist, E [1 ]
Overgaard, NC [1 ]
Gustafsson, S [1 ]
Heyden, A [1 ]
机构
[1] Malmo Univ, Sch Technol & Soc, SE-20506 Malmo, Sweden
关键词
biofilm; continuum model; diffusion; level set method; mass conservation; simulations;
D O I
10.2166/wst.2004.0837
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
A new continuum model for the growth of a single species biofilm is proposed. The geometry of the biofilm is described by the interface between the biomass and the surrounding liquid. Nutrient transport is given by the solution of a semi-linear Poisson equation. In this model we study the morphology of a chemotactic bacterial colony, which grows in the direction of increasing nutrient concentration. Numerical simulations using the level set method and finite difference schemes are presented. The results show rich heterogeneous morphology.
引用
收藏
页码:187 / 192
页数:6
相关论文
共 12 条
[1]   GENERIC MODELING OF COOPERATIVE GROWTH-PATTERNS IN BACTERIAL COLONIES [J].
BENJACOB, E ;
SCHOCHET, O ;
TENENBAUM, A ;
COHEN, I ;
CZIROK, A ;
VICSEK, T .
NATURE, 1994, 368 (6466) :46-49
[2]   Finger formation in biofilm layers [J].
Dockery, J ;
Klapper, I .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2002, 62 (03) :853-869
[3]  
EBERL HJ, 2001, J THEOR MED, V3, P161, DOI DOI 10.1080/10273660108833072)
[4]   Viscoelastic fluid description of bacterial biofilm material properties [J].
Klapper, I ;
Rupp, CJ ;
Cargo, R ;
Purvedorj, B ;
Stoodley, P .
BIOTECHNOLOGY AND BIOENGINEERING, 2002, 80 (03) :289-296
[5]   BacSim, a simulator for individual-based modelling of bacterial colony growth [J].
Kreft, JU ;
Booth, G ;
Wimpenny, JWT .
MICROBIOLOGY-UK, 1998, 144 :3275-3287
[6]   FRONTS PROPAGATING WITH CURVATURE-DEPENDENT SPEED - ALGORITHMS BASED ON HAMILTON-JACOBI FORMULATIONS [J].
OSHER, S ;
SETHIAN, JA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 79 (01) :12-49
[7]  
Osher S, 2003, LEVEL SET METHODS DY
[8]   Discrete-differential modelling of biofilm structure [J].
Picioreanu, C ;
van Loosdrecht, MCM ;
Heijnen, JJ .
WATER SCIENCE AND TECHNOLOGY, 1999, 39 (07) :115-122
[9]  
PICIOREANU C, 1999, THESIS DELFT U TECHN
[10]  
Sethian JA, 1996, LEVEL SET METHODS FA