Modeling of biofilm systems: a review

H Horn, S Lackner - Productive biofilms, 2014 - Springer
<? xm-replace_text {Heading}?> Abstract The modeling of biochemical processes in biofilms
is more complex compared to those in suspended biomass due to the existence of substrate …

Continuum and discrete approach in modeling biofilm development and structure: a review

MR Mattei, L Frunzo, B D'acunto, Y Pechaud… - Journal of mathematical …, 2018 - Springer
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 …

Microbial competition in porous environments can select against rapid biofilm growth

KZ Coyte, H Tabuteau, EA Gaffney… - Proceedings of the …, 2017 - National Acad Sciences
Microbes often live in dense communities called biofilms, where competition between strains
and species is fundamental to both evolution and community function. Although biofilms are …

A mathematical model of quorum sensing induced biofilm detachment

BO Emerenini, BA Hense, C Kuttler, HJ Eberl - PloS one, 2015 - journals.plos.org
Background Cell dispersal (or detachment) is part of the developmental cycle of microbial
biofilms. It can be externally or internally induced, and manifests itself in discrete sloughing …

A Mathematical Study of Metal Biosorption on Algal–Bacterial Granular Biofilms

F Russo, A Tenore, MR Mattei, L Frunzo - Bulletin of Mathematical Biology, 2023 - Springer
A multiscale mathematical model describing the metals biosorption on algal–bacterial
photogranules within a sequencing batch reactor (SBR) is presented. The model is based …

Modelling the ecology of phototrophic-heterotrophic biofilms

A Tenore, MR Mattei, L Frunzo - Communications in Nonlinear Science and …, 2021 - Elsevier
A mathematical model describing the microbial interactions in phototrophic-heterotrophic
biofilms is presented. The main phenomena and factors involved in the model include …

Modelling oxygenic photogranules: Microbial ecology and process performance

A Tenore, MR Mattei, L Frunzo - SIAM Journal on Applied Mathematics, 2023 - SIAM
This work addresses the modelling of oxygenic photogranules (OPGs), by introducing a
mathematical model which describes both the genesis and growth of photogranules and the …

A modeling and simulation study of the role of suspended microbial populations in nitrification in a biofilm reactor

A Mašić, HJ Eberl - Bulletin of mathematical biology, 2014 - Springer
Many biological wastewater treatment processes are based on bacterial biofilms, ie layered
aggregates of microbial populations deposited on surfaces. Detachment and (re-) …

Free boundary problem for the role of planktonic cells in biofilm formation and development

B D'Acunto, L Frunzo, V Luongo, MR Mattei… - … Mathematik und Physik, 2021 - Springer
The dynamics of biofilm lifecycle are deeply influenced by the surrounding environment and
the interactions between sessile and planktonic phenotypes. Bacterial biofilms typically …

Multiscale modelling of de novo anaerobic granulation

A Tenore, F Russo, MR Mattei, B D'Acunto… - Bulletin of Mathematical …, 2021 - Springer
A multiscale mathematical model is presented to describe de novo granulation, and the
evolution of multispecies granular biofilms, in a continuously fed bioreactor. The granule is …