Three‐dimensional biofilm model with individual cells and continuum EPS matrix
@article{Alpkvist2006ThreedimensionalBM,
title={Three‐dimensional biofilm model with individual cells and continuum EPS matrix},
author={Erik Alpkvist and Cristian Picioreanu and Mark C. M. van Loosdrecht and Anders Heyden},
journal={Biotechnology and Bioengineering},
year={2006},
volume={94}
}An innovative type of biofilm model is derived by combining an individual description of microbial particles with a continuum representation of the biofilm matrix. This hybrid model retains the advantages of each approach, while providing a more realistic description of the temporal development of biofilm structure in two or three spatial dimensions. The general model derivation takes into account any possible number of soluble components. These are substrates and metabolic products, which…
183 Citations
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References
SHOWING 1-10 OF 47 REFERENCES
Modeling the development of biofilm density including active bacteria, inert biomass, and extracellular polymeric substances.
- BiologyWater research
- 2004
A general description of detachment for multidimensional modelling of biofilms.
- EngineeringBiotechnology and bioengineering
- 2005
The effect of applied detachment forces as a fundamental factor influencing steady-state biofilm activity and structure is demonstrated and simulation results indicated that biomass sloughing is reduced when erosion forces are increased.
Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach.
- Materials ScienceBiotechnology and bioengineering
- 1998
Quantitative two- and three-dimensional models were evaluated by introducing statistical measures to characterize the complete biofilm structure, both the surface structure and volume structure, showing the change from a compact and dense biofilm to a highly porous and open biofilm.
Two-dimensional model of biofilm detachment caused by internal stress from liquid flow.
- EngineeringBiotechnology and bioengineering
- 2001
A two-dimensional model for biofilm growth and detachment was used and it was possible to model in a unified way two different biofilm detachment processes, erosion (small-particle loss), and sloughing (large-biomass-particles removal).
Effect of EPS on biofilm structure and function as revealed by an individual-based model of biofilm growth.
- BiologyWater science and technology : a journal of the International Association on Water Pollution Research
- 2001
We have simulated a nitrifying biofilm with one ammonia and one nitrite oxidising species in order to elucidate the effect of various extracellular polymeric substance (EPS) production scenarios on…
Individual-based modelling of biofilms.
- BiologyMicrobiology
- 2001
This IbM is version 2 of BacSim, a model of Escherichia coli colony growth, which was developed into a two-dimensional multi-substrate, multi-species model of nitrifying biofilms, and agreed with the established biomass-based model (BbM) of Picioreanu and others.
Particle-Based Multidimensional Multispecies Biofilm Model
- BiologyApplied and Environmental Microbiology
- 2004
A spatially multidimensional particle-based approach for modeling the dynamics of multispecies biofilms growing on multiple substrates based on diffusion-reaction mass balances for chemical species coupled with microbial growth and spreading of biomass represented by hard spherical particles is described.
A framework for multidimensional modelling of activity and structure of multispecies biofilms.
- BiologyEnvironmental microbiology
- 2005
Results illustrate that biofilms enriched in PHB-producing organisms may be obtained by supplying substrate intermittently in feast/famine cycles.
A multispecies biofilm model
- EngineeringBiotechnology and bioengineering
- 1986
Using a continuum approach and observing conservation principles, an analytical mathematical model of microbial interaction in biofilms was developed. The model predicts changes in biofilm thickness…