230 citations · 1.9k across the 63 of their papers we have counts for
5 papers · 1 filter
Analysis of a heterogeneous kinetic model for traffic flow
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
In this work we extend a recent kinetic traffic model to the case of more than one class of vehicles, each of which is characterized by few different microscopic features. We consi…
Kinetic models for traffic flow resulting in a reduced space of microscopic velocities
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
The purpose of this paper is to study the properties of kinetic models for traffic flow described by a Boltzmann-type approach and based on a continuous space of microscopic veloci…
Proposal of a risk model for vehicular traffic: A Boltzmann-type kinetic approach
Paolo Freguglia, Andrea Tosin
This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macros…
Alzheimer's disease: a mathematical model for onset and progression
Michiel Bertsch, Bruno Franchi, Norina Marcello +2
In this paper we propose a mathematical model for the onset and progression of Alzheimer's disease based on transport and diffusion equations. We regard brain neurons as a continuo…
Moving in a crowd: human perception as a multiscale process
Annachiara Colombi, Marco Scianna, Andrea Tosin
The strategic behaviour of pedestrians is largely determined by how they perceive and react to neighbouring people. This issue is addressed in this paper by a model which combines,…