PMID: 9524449Apr 1, 1997Paper

Mathematical modeling of biofilms

Advances in Dental Research
G H Dibdin

Abstract

A set of mathematical equations constitutes a mathematical model if it aims to represent a real system and is based on some theory of that system's operation. On this definition, mathematical models, some very simple, are everywhere in science. A complex system like a biofilm requires modeling by numerical methods and, because of inevitable uncertainties in its theoretical basis, may not be able to make precise predictions. Nevertheless, such models almost always give new insight into the mechanisms involved, and stimulate further investigation. The way in which diffusion coefficients are measured for use in a model, particularly whether they include effects of reversible reaction, is a key element in the modeling. Reasons are given for separating diffusion from reversible reaction effects and dealing with them in a separate subroutine of the model.

References

Jan 1, 1979·Archives of Oral Biology·S G McNeeF C Gillespie
May 1, 1975·Archives of Oral Biology·E J Burke, E C Moreno
Jan 1, 1983·Archives of Oral Biology·A Tatevossian, E Newbrun
May 1, 1995·Archives of Oral Biology·R K Rose, G H Dibdin
Feb 1, 1995·Journal of Dental Research·E I Pearce, G H Dibdin
Jan 1, 1993·Journal of Dental Research·R K RoseR P Shellis
Jan 1, 1996·Caries Research·R K RoseA R Lee
Feb 1, 1988·Journal of Dental Research·R P Shellis, G H Dibdin
Aug 1, 1994·Applied and Environmental Microbiology·P StoodleyZ Lewandowski

❮ Previous
Next ❯

Citations

Jan 12, 2001·Oral Microbiology and Immunology·C H Sissons, S Yakub
Apr 13, 2012·PLoS Computational Biology·Rachael Hageman BlairGary A Churchill
Aug 7, 2009·Journal of Magnetic Resonance·Jan BartacekHenk Van As
Apr 1, 1997·Advances in Dental Research·C H Sissons
Mar 9, 2005·Oral Diseases·J GreenmanJ Duffield

❮ Previous
Next ❯

Related Concepts

Related Feeds

Biofilm & Infectious Disease

Biofilm formation is a key virulence factor for a wide range of microorganisms that cause chronic infections.Here is the latest research on biofilm and infectious diseases.