Continuum and discrete approach in modeling biofilm development and structure: a review
The scientific community has recognized that almost 99% of the microbial life on earth is
represented by biofilms. Considering the impacts of their sessile lifestyle on both natural and …
represented by biofilms. Considering the impacts of their sessile lifestyle on both natural and …
Mathematical description of microbial biofilms
I Klapper, J Dockery - SIAM review, 2010 - SIAM
Mathematical Description of Microbial Biofilms Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM REVIEW c 2010 Society for Industrial and Applied …
reproduction of this article is prohibited. SIAM REVIEW c 2010 Society for Industrial and Applied …
A modeling and simulation study of the role of suspended microbial populations in nitrification in a biofilm reactor
Many biological wastewater treatment processes are based on bacterial biofilms, ie layered
aggregates of microbial populations deposited on surfaces. Detachment and (re-) …
aggregates of microbial populations deposited on surfaces. Detachment and (re-) …
On the uncertainty of initial condition and initialization approaches in variably saturated flow modeling
Soil water movement has direct effects on environment, agriculture and hydrology.
Simulation of soil water movement requires accurate determination of model parameters as …
Simulation of soil water movement requires accurate determination of model parameters as …
Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates
We investigate the role of non shear stress and shear stressed based detachment rate
functions for the longterm behavior of one-dimensional biofilm models. We find that the …
functions for the longterm behavior of one-dimensional biofilm models. We find that the …
[HTML][HTML] Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models
B D'Acunto, L Frunzo - Mathematical and computer modelling, 2011 - Elsevier
The work presents an analysis of solutions to a free boundary value problem for a
multispecies biofilm growth model in one space dimension. The mathematical model …
multispecies biofilm growth model in one space dimension. The mathematical model …
Persistence in a single species CSTR model with suspended flocs and wall attached biofilms
We consider a mathematical model for a bacterial population in a continuously stirred tank
reactor (CSTR) with wall attachment. This is a modification of the Freter model, in which we …
reactor (CSTR) with wall attachment. This is a modification of the Freter model, in which we …
Effect of periodic disinfection on persisters in a one-dimensional biofilm model
It is well known that disinfection methods that successfully kill suspended bacterial
populations often fail to eliminate bacterial biofilms. Recent efforts to understand biofilm …
populations often fail to eliminate bacterial biofilms. Recent efforts to understand biofilm …
[HTML][HTML] Qualitative analysis of the moving boundary problem for a biofilm reactor model
B D'Acunto, L Frunzo, MR Mattei - Journal of Mathematical Analysis and …, 2016 - Elsevier
The work presents the qualitative analysis of the free boundary value problem related to a
biofilm reactor model. In the framework of continuum approach to mathematical modelling of …
biofilm reactor model. In the framework of continuum approach to mathematical modelling of …
Productivity and equilibrium in simple biofilm models
I Klapper - Bulletin of mathematical biology, 2012 - Springer
Biofilms are dense, sessile collections of microorganisms with complicated internal
structures. However, in many applications internal details are less important, rather basic …
structures. However, in many applications internal details are less important, rather basic …