15 citations · 54 across the 10 of their papers we have counts for
10 papers
Existence and uniqueness of solution to a hyperbolic-parabolic free boundary problem for biofilm growth
Dieudonné Zirhumanana Balike, Luigi Frunzo, Maria Rosaria Mattei +1
This work presents the existence and uniqueness of solution to a free boundary value problem related to biofilm growth. The problem consists of a system of nonlinear hyperbolic par…
Stability analysis of hyperbolic-parabolic free boundary problems modelling biofilms
Dieudonné Zirhumanana Balike, Maria Rosaria Mattei, Luigi Frunzo
We present the stability analysis of two free boundary problems arising in biofilm modelling. The first, introduced in the 1980s by Wanner and Gujer, is related to the competition…
Analysis of a spherical free boundary problem modelling granular biofilms
F. Russo, M. R. Mattei, A. Tenore +3
A free boundary value problem related to the genesis of multispecies granular biofilms is presented. The granular biofilm is modelled as a spherical free boundary domain with radia…
Multiscale modelling of heavy metals adsorption on algal-bacterial photogranules
F. Russo, A. Tenore, M. R. Mattei +1
A multiscale mathematical model describing the genesis and ecology of algal-bacterial photogranules and the metals biosorption on their solid matrix within a sequencing batch react…
Multiscale modelling of oxygenic photogranules
A. Tenore, M. R. Mattei, L. Frunzo
This work presents a mathematical model which describes both the genesis and growth of oxygenic photogranules (OPGs) and the related treatment process. The photogranule has been mo…
Multiscale modelling of de novo anaerobic granulation
A. Tenore, F. Russo, M. R. Mattei +3
A multiscale mathematical model is presented to describe the de novo granulation and the evolution of multispecies granular biofilms within a continuous reactor. The granule is mod…
A modeling and simulation study of anaerobic digestion in plug-flow reactors
D. B. Panaro, M. R. Mattei, G. Esposito +3
A mathematical model for anaerobic digestion in plug-flow reactors is proposed on the basis of mass balance considerations. The model consists of a system of parabolic partial diff…
Free boundary problem for the role of planktonic cells in biofilm formation and development
B. D'Acunto, L. Frunzo, V. Luongo +2
The dynamics of biofilm lifecycle are deeply influenced by the surrounding environment and the interactions between sessile and planktonic phenotypes. Bacterial biofilms typically…
A transient biological fouling model for constant flux microfiltration
V. Luongo, M. R. Mattei, L. Frunzo +4
Microfiltration technology is a widely used engineering strategy for fresh water production and water treatment. The major concern in many applications is the formation of a biolog…
Invasion moving boundary problem for a biofilm reactor model
Berardino D'Acunto, Luigi Frunzo, Vincenzo Luongo +1
The work presents the analysis of the free boundary value problem related to the invasion model of new species in biofilm reactors. In the framework of continuum approach to mathem…