A NEW METHOD TO SOLVE A NON-STEADY-STATE MULTISPECIES BIOFILM MODEL

Citation
V. Gadani et al., A NEW METHOD TO SOLVE A NON-STEADY-STATE MULTISPECIES BIOFILM MODEL, Bulletin of mathematical biology, 55(6), 1993, pp. 1039-1061
Citations number
11
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
00928240
Volume
55
Issue
6
Year of publication
1993
Pages
1039 - 1061
Database
ISI
SICI code
0092-8240(1993)55:6<1039:ANMTSA>2.0.ZU;2-2
Abstract
A transient multispecies model for quantifying microbial space competi tion in biofilm is derived from existing models, introducing a new app roach to biomass detachment modelling. This model includes inert bioma ss, substrate diffusion and utilization rate within the biofilm and di ffusional layers. It predicts the evolution of biofilm thickness, bulk substrate concentration, species distribution and substrate concentra tion within the biofilm. A zero-dimensional transient model is describ ed. Its steady-state solution is used to set up initial conditions of the one-dimensional model and ease computation towards steady-state so lution. Some numerical tools have been developed, enabling fast comput ation on microcomputers. Simulations show the validity of a zero-dimen sional model and perturbated systems are also simulated. Simulations w ith experimental data give acceptable results.