This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

This paper proposes a critical analysis of the existing literature on mathematical tools
developed toward systems biology approaches and, out of this overview, develops a new …

This paper deals with a micro–macro derivation of a variety of cross-diffusion models for a
large system of active particles. Some of the models at the macroscopic scale can be viewed …

This volume collects ten surveys on the modeling, simulation, and applications of active
particles using methods ranging from mathematical kinetic theory to nonequilibrium …

Our paper [19] presents a review and critical analysis on a mathematical theory of learning
in populations composed of many interacting individuals. Furthermore, it attempts to provide …

This paper presents a new approach to the modeling of vehicular traffic flows on road
networks based on kinetic equations. While in the literature the problem has been …

In this paper we consider a general macro-model describing a metapopulation consisting of
several interacting with each other subpopulations connected through a network, with the …

The present work is inspired by the recent developments in laboratory experiments made on
chips, where the culturing of multiple cell species was possible. The model is based on …

We introduce a time-fractional Keller–Segel model with Dirichlet conditions on the boundary
and Caputo fractional derivative for the time. The main result shows the existence theorem of …

In this article we consider the Keller–Segel model for chemotaxis on networks, both in the
doubly parabolic case and in the parabolic–elliptic one. Introducing appropriate transition …