60 citations · 103 across the 12 of their papers we have counts for
12 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…
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…
Modeling biological systems with an improved fractional Gompertz law
Luigi Frunzo, Roberto Garra, Andrea Giusti +1
The aim of this paper is to provide a fractional generalization of the Gompertz law via a Caputo-like definition of fractional derivative of a function with respect to another func…
Seeding Dispersal Modeling For Systems of Planar Microbial Biofilms
Andrea Trucchia, Federica Villa, Luigi Frunzo +1
We propose a modeling approach to study how mature biofilms spread and colonize new surfaces by predicting the formation and growth of satellite colonies generated by dispersing bi…
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…
Modeling sorption of emerging contaminants in biofilms
Luigi Frunzo
A mathematical model for emerging contaminants sorption in multispecies biofilms, based on a continuum approach and mass conservation principles is presented. Diffusion of contamin…