40 citations · 62 across the 5 of their papers we have counts for
6 papers
A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations
Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini +1
We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed…
Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration
Marta Menci, Roberto Natalini, Tommaso Tenna
In this paper we propose a numerical study of macroscopic models for collective cell migration, focusing on a multi-dimensional pressureless Euler-type model with non-local interac…
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions
Magali Ribot, Roberto Natalini, Maya Briani
In this paper we propose a new numerical scheme of relaxation type to approximate the Euler equations of isentropic gas dynamics on the arcs of a network. At the junction mass cons…
A model for membrane degradation using a gelatin invadopodia assay
Giorgia Ciavolella, Nathalie Ferrand, Michèle Sabbah +2
One of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate and invade other organs during the so-called m…
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…
A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line
Ezio Di Costanzo, Roberto Natalini, Luigi Preziosi
In this paper we propose a "discrete in continuous" mathematical model for the morphogenesis of the posterior lateral line system in zebrafishes. Our model follows closely the resu…