22 citations · 45 across the 5 of their papers we have counts for
5 papers
Local existence of smooth solutions to multiphase models in two space dimensions
Roberta Bianchini, Roberto Natalini
In this paper, we consider a class of models for multiphase fluids, in the framework of mixture theory. The considered system, in its more general form, contains both the gradient…
A Macroscopic Mathematical Model For Cell Migration Assays Using A Real-Time Cell Analysis
Ezio Di Costanzo, Vincenzo Ingangi, Claudia Angelini +3
Experiments of cell migration and chemotaxis assays have been classically performed in the so-called Boyden Chambers. A recent technology, xCELLigence Real Time Cell Analysis, is n…
Crystallization Inhibitors: Explaining Experimental Data through Mathematical Models
M. P. Bracciale, G. Bretti, A. Broggi +4
In this paper we propose a new mathematical model describing the effect of phosphocitrate (PC) on sodium sulphate crystallization inside bricks. This model describes salt and water…
Global smooth solutions for a hyperbolic chemotaxis model on a network
Francesca Romana Guarguaglini, Roberto Natalini
In this paper we study a semilinear hyperbolic-parabolic system modeling biological phenomena evolving on a network composed by oriented arcs. We prove the existence of global (in…
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity
Fabrizio Clarelli, Cristiana Di Russo, Roberto Natalini +1
In this article, we study in details the fluid dynamics system proposed in Clarelli et al (2013) to model the formation of cyanobacteria biofilms. After analyzing the linear stabil…