6 papers
Kinetic modeling of knowledge and wealth dynamics in national and global markets
Marzia Bisi, Martina Conte, Maria Groppi
We propose a kinetic model to describe the dynamical evolution of wealth and knowledge in national and global markets, starting from a microscopic description of individual interac…
Action potential dynamics on heterogenous neural networks: from kinetic to macroscopic equations
Marzia Bisi, Martina Conte, Maria Groppi
In the context of multi-agent systems of binary interacting particles, a kinetic model for action potential dynamics on a neural network is proposed, accounting for heterogeneity i…
Reaction-diffusion systems from kinetic models for bacterial communities on a leaf surface
Marzia Bisi, Davide Cusseddu, Ana Jacinta Soares +1
Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We prese…
Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, a class of reaction-diffusion equations for Multiple Sclerosis is presented. These models are derived by means of a diffusive limit starting from a proper kinetic de…
A space-dependent Boltzmann-BGK model for gas mixtures and its hydrodynamic limits
Marzia Bisi, Maria Groppi, Giorgio Martalò
We present a hybrid Boltzmann-BGK model for inert mixtures, where each kind of binary interaction may be described by a classical Boltzmann integral or by a suitable relaxation-typ…
On the modelling of polyatomic molecules in kinetic theory
Marzia Bisi, Thomas Borsoni, Maria Groppi
This communication is both a pedagogical note for understanding polyatomic modelling in kinetic theory and a ''cheat sheet'' for a series of corresponding concepts and formulas. We…