230 citations · 1.9k across the 63 of their papers we have counts for
4 papers · 1 filter
Multiscale control of generic second order traffic models by driver-assist vehicles
Felisia Angela Chiarello, Benedetto Piccoli, Andrea Tosin
We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via a kinetic approach. First, we recover a third order traff…
Boltzmann-type equations for multi-agent systems with label switching
Nadia Loy, Andrea Tosin
In this paper, we propose a Boltzmann-type kinetic description of mass-varying interacting multi-agent systems. Our agents are characterised by a microscopic state, which changes d…
A sensitivity analysis of a mathematical model for the synergistic interplay of Amyloid beta and tau on the dynamics of Alzheimer's disease
Michiel Bertsch, Bruno Franchi, Valentina Meschini +2
We propose a mathematical model for the onset and progression of Alzheimer's disease based on transport and diffusion equations. We treat brain neurons as a continuous medium and s…
The Boltzmann legacy revisited: kinetic models of social interactions
Martina Fraia, Andrea Tosin
The application of classical methods of statistical mechanics, originally developed by Ludwig Boltzmann in gas dynamics, to the description of social phenomena is a successful stor…