A new method to solve a non-steady-state multispecies biofilm model

Vincent Gadani, Pierre Villon, Jacques Manem, Bruce Rittmann

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A transient multispecies model for quantifying microbial space competition in biofilm is derived from existing models, introducing a new approach to biomass detachment modelling. This model includes inert biomass, substrate diffusion and utilization rate within the biofilm and diffusional layers. It predicts the evolution of biofilm thickness, bulk substrate concentration, species distribution and substrate concentration within the biofilm. A zero-dimensional transient model is described. Its steady-state solution is used to set up initial conditions of the one-dimensional model and case computation towards steady-state solution. Some numerical tools have been developed, enabling fast computation on microcomputers. Simulations show the validity of a zero-dimensional model and perturbated systems are also simulated. Simulations with experimental data give acceptable results.

Original languageEnglish (US)
Pages (from-to)1039-1061
Number of pages23
JournalBulletin of mathematical biology
Issue number6
StatePublished - Nov 1 1993
Externally publishedYes

ASJC Scopus subject areas

  • General Neuroscience
  • Immunology
  • General Mathematics
  • General Biochemistry, Genetics and Molecular Biology
  • General Environmental Science
  • Pharmacology
  • General Agricultural and Biological Sciences
  • Computational Theory and Mathematics


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