60 citations · 103 across the 12 of their papers we have counts for
4 papers · 1 filter
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…