Skip to main content

Space- and Time-resolved Simulations of Processes in Biofilm Systems on a Microscale

  • Chapter
  • 361 Accesses

Part of the book series: Mathematics and Biosciences in Interaction ((MBI))

Summary

New experimental and analytical techniques such as confocal laser scanning microscopy (CSLM) or the use of RNA-targeted probes have provided insight into the morphology, architecture, and function of biofilm cultures. The different observations made there suggest that more attention has to be paid to a detailed study of microscale processes such as flow and transport phenomena as well as to the development of the biofilm’s primary components, i.e., microbial cells and extracellular polymeric substances (EPS). For that, numerical simulations are a promising approach. However, due to the large variety of different effects and influence factors, strong multiscale characteristics with respect to both time and space, and the need for an explicit high spatial resolution in order to capture the occurring changes of the underlying geometry because of biomass growth 3D simulations have hardly been tackled so far. Actually, most existing simulation tools for biofilm systems are based on strongly simplified model assumptions that have turned out to be not valid in general.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bishop, P. L. (1997) Biofilm structure and kinetics. Water Sci. Tech. 36 (1), 287–194

    Article  Google Scholar 

  2. Brandt, A. (1977) Multi-level adaptive solutions to boundary value problems. Math. Comput. 31, 333–390

    Article  MATH  Google Scholar 

  3. Brück, B. (1998) Nast++: An objectoriented framework for modular flow simulations (german). Diploma thesisInstitut für Informatik, TU München:http://www5.in.tum.de/publikat/dipl/brueck.ps.gz

    Google Scholar 

  4. Bungartz, H.-J., Kühn, M., Mehl, M., Hausner, M., Würtz, S. (2000) Experiments and numerical simulations on a microscale. Wat. Science and Tech. 41 (4–5), 331–338

    Google Scholar 

  5. Griebel, M. (1989) Zur Lösung von Finite-Differenzen-und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode. Doctoral thesisTU München

    Google Scholar 

  6. Griebel, M., Dornseifer, T., Neunhoeffer, T. (1997)Numerical Simulation in Fluid Dynamics - a Practical Introduction.SIAM, Philadelphia

    MATH  Google Scholar 

  7. Hermanowicz, S. W. (1999) Two-dimensional simulations of biofilm development: Effects of external environmental conditions. Water Sci. Tech. 39 (7), 107–114

    Article  Google Scholar 

  8. Horn, H., Hempel, D. C. (1997) Substrate utilization and mass transfer in an autotrophic biofilm system: Experimental results and simulation. Biotech. Bioeng. 53 (4), 363–371

    Article  Google Scholar 

  9. Korber, D. R., Lawrence, J. R., Hendry, M. J., Caldwell, D. E. (1992) Programs for determining statistically representative areas of microbial biofilms. Binary 4, 204–210

    Google Scholar 

  10. Kühn, M., Hausner, M., Bungartz, H.-J., Wagner, M., Wilderer, P. A., Würtz, S. (1998) Automated confocal laser scanning microscopy and semiautomated image processing for analysis of biofilms. Appl. Env. Microbiol. 64 (11), 4115–4127

    Google Scholar 

  11. van Loosdrecht, M. C. M., Picioreanu, C., Heijnen, J. J. (1997) A more unifying hypothesis for biofilm structures. FEMS Microbiol. Ecol. 24, 181–183

    Article  Google Scholar 

  12. Kühn, M., Mehl, M., Hausner, M., Bungartz, H.-J., Würtz, S. (2000) Time-resolved study of biofilm architecture and transport processes using experimental and simulation techniques: The role of EPS. Water Sci. Tech. 43 (8), 143–151

    Google Scholar 

  13. Mehl, M. (2001) An interdisciplinary approach to three-dimensional numerical simulation of flow, transport, and growth in biofilm systems on a microscale (german). Doctoral thesis TU München

    Google Scholar 

  14. Picioreanu, C. (1999) Multidimensional modeling of biofilm structure. Doctoral ThesesDelft University

    Google Scholar 

  15. Picioreanu, C., van Loosdrecht. M. C. M., Heijnen, J. J. (1998) A new combined differential-discrete cellular automaton approach for biofilm modeling: Application for growth in gel beads. Biotech. Bioeng. 57 (6)

    Google Scholar 

  16. Picioreanu, C., van Loosdrecht, M. C. M., Heijnen, J. J. (1999) Discrete-differential modeling of biofilm structure. Water Sci. Tech. 39 (7), 115–122

    Article  Google Scholar 

  17. Poegl, M. (1999) Enhancement of Nast++: Three spatial dimensions, representation of the geometry and parallelization (german). Seminar paperInstitut für Informatik, TU München:http://www5.in.tum.de/publikat/fopra/poegl.ps.gz

    Google Scholar 

  18. Vandewalle, S. (1993)Parallel Multigrid Waveform Relaxation for Parabolic Problems.B. G. Teubner Verlag, Stuttgart

    Book  Google Scholar 

  19. Wimpenny, J. W. T., Colasanti, R. (1997) A unifying hypothesis for the structure of microbial biofilms based on cellular automaton modelsFEMS Microbiol. Ecol. 22 (1), 1–16

    Article  Google Scholar 

  20. Zhang, T. C., Bishop, R L. (1994) Density, porosity and pore structure of biofilmsWater Res. 28, 2267–2277

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Basel AG

About this chapter

Cite this chapter

Bungartz, HJ., Kühn, M., Mehl, M., Würtz, S. (2003). Space- and Time-resolved Simulations of Processes in Biofilm Systems on a Microscale. In: Alt, W., Chaplain, M., Griebel, M., Lenz, J. (eds) Polymer and Cell Dynamics. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8043-5_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8043-5_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9417-3

  • Online ISBN: 978-3-0348-8043-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics