36 citations · 147 across the 21 of their papers we have counts for
22 papers
The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior
Fei Cao, Nadia Loy
In this manuscript, we develop and analyze a continuous version of the well-known Bennati-Dragulescu-Yakovenko (BDY) dollar-exchange discrete model. Starting from the conservative…
A novel linear transport model with distinct scattering mechanisms for direction and speed
Martina Conte, Nadia Loy
We introduce a novel linear transport equation that models the evolution of a one-particle distribution subject to free transport and two distinct scattering mechanisms: one affect…
Essentials of the kinetic theory of multi-agent systems
Nadia Loy, Andrea Tosin
In this paper, we present a critical collection of essential mathematical tools and techniques for the analysis of Boltzmann-type kinetic equations, which in recent years have esta…
Linear inelastic kinetic equations modelling the spread of fake news and its interplay with personal awareness
Martina Fraia, Nadia Loy, Andrea Tosin
In this paper, we introduce a kinetic model which describes a learning process leading individuals to build personal awareness about fake news. Next, we embed the results of this m…
Phenotype-structuring of non-local kinetic models of cell migration driven by environmental sensing
Tommaso Lorenzi, Nadia Loy, Chiara Villa
The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migrati…
Optimal control of a kinetic model describing social interactions on a graph
Jonathan Franceschi, Nadia Loy
In this paper we introduce the optimal control of a kinetic model describing agents who migrate on a graph and interact within its nodes exchanging a physical quantity. As a protot…
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…
Kinetic models for systems of interacting agents with multiple microscopic states
Marzia Bisi, Nadia Loy
We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the i…
An SIR model with viral load-dependent transmission
Rossella Della Marca, Nadia Loy, Andrea Tosin
The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals' viral load in the dise…
A non-local kinetic model for cell migration: a study of the interplay between contact guidance and steric hindrance
Martina Conte, Nadia Loy
We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polari…
Opinion polarisation in social networks
Nadia Loy, Matteo Raviola, Andrea Tosin
In this paper, we propose a Boltzmann-type kinetic description of opinion formation on social networks, which takes into account a general connectivity distribution of the individu…
A Statistical Mechanics Approach to Describe Cell Re-orientation under Stretch
Nadia Loy, Luigi Preziosi
Experiments show that when a monolayer of cells cultured on an elastic substrate is subject to a cyclic stretch, cells tend to re-orient either perpendicularly or at an oblique ang…
An SIR-like kinetic model tracking individuals' viral load
Rossella Della Marca, Nadia Loy, Andrea Tosin
Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of dis…
A viral load-based model for epidemic spread on spatial networks
Nadia Loy, Andrea Tosin
In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or dis…
Direction-Dependent Turning Leads to Anisotropic Diffusion and Persistence
Nadia Loy, Thomas Hillen, Kevin John Painter
Cells and organisms follow aligned structures in their environment, a process that can generate persistent migration paths. Kinetic transport equations are a popular modelling tool…
Multi-cue kinetic model with non-local sensing for cell migration on a fibers network with chemotaxis
N. Loy, M. Conte
Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and bi…
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…
Stability of a non-local kinetic model for cell migration with density dependent orientation bias
Nadia Loy, Luigi Preziosi
The aim of the article is to study the stability of a non-local kinetic model proposed by Loy and Preziosi (2019a). We split the population in two subgroups and perform a linear st…
Modelling physical limits of migration by a kinetic model with non-local sensing
Nadia Loy, Luigi Preziosi
Migrating cells choose their preferential direction of motion in response to different signals and stimuli sensed by spanning their external environment. However, the presence of d…
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
Nadia Loy, Luigi Preziosi
Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over straight lines and re-orientations. This erratic motion may be influenced by external factor…
Markov jump processes and collision-like models in the kinetic description of multi-agent systems
Nadia Loy, Andrea Tosin
Multi-agent systems can be successfully described by kinetic models, which allow one to explore the large scale aggregate trends resulting from elementary microscopic interactions.…
Structure preserving schemes for Fokker-Planck equations with nonconstant diffusion matrices
N. Loy, M. Zanella
In this work we consider an extension of a recently proposed structure preserving numerical scheme for nonlinear Fokker-Planck-type equations to the case of nonconstant full diffus…