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