230 citations · 1.9k across the 63 of their papers we have counts for
16 papers · 1 filter
Kinetic description and macroscopic limit of swarming dynamics with continuous leader-follower transitions
Emiliano Cristiani, Nadia Loy, Marta Menci +1
In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically c…
Hydrodynamic traffic flow models including random accidents: A kinetic derivation
Felisia Angela Chiarello, Simone Göttlich, Thomas Schilliger +1
We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partia…
Fundamental diagrams for kinetic equations of traffic flow
Luisa Fermo, Andrea Tosin
In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theore…
From individual behaviour to an evaluation of the collective evolution of crowds along footbridges
Luca Bruno, Alessandro Corbetta, Andrea Tosin
This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actu…
A fully-discrete-state kinetic theory approach to modeling vehicular traffic
Luisa Fermo, Andrea Tosin
This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and ve…
How can macroscopic models reveal self-organization in traffic flow?
Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the…
On the dynamics of social conflicts: looking for the Black Swan
Nicola Bellomo, Miguel A. Herrero, Andrea Tosin
This paper deals with the modeling of social competition, possibly resulting in the onset of extreme conflicts. More precisely, we discuss models describing the interplay between i…
Differentiated cell behavior: a multiscale approach using measure theory
Annachiara Colombi, Marco Scianna, Andrea Tosin
This paper deals with the derivation of a collective model of cell populations out of an individual-based description of the underlying physical particle system. By looking at the…
Multiscale modeling of granular flows with application to crowd dynamics
Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows to manage the microscopic and the macrosc…
Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications
Luca Bruno, Andrea Tosin, Paolo Tricerri +1
In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitut…
Initial/boundary-value problems of tumor growth within a host tissue
Andrea Tosin
This paper concerns multiphase models of tumor growth in interaction with a surrounding tissue, taking into account also the interplay with diffusible nutrients feeding the cells.…
Multiphase modeling of tumor growth with matrix remodeling and fibrosis
Andrea Tosin, Luigi Preziosi
We present a multiphase mathematical model for tumor growth which incorporates the remodeling of the extracellular matrix and describes the formation of fibrotic tissue by tumor ce…
Multiphase modeling and qualitative analysis of the growth of tumor cords
Andrea Tosin
In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical theory of deformable porous media. Tumor is modeled as a saturated mixture of proli…
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-or…
Pedestrian flows in bounded domains with obstacles
Benedetto Piccoli, Andrea Tosin
In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose…
Time-evolving measures and macroscopic modeling of pedestrian flow
Benedetto Piccoli, Andrea Tosin
This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Euler…