We consider the modeling of the dynamics of the chemostat at its very source. The
chemostat is classically represented as a system of ordinary differential equations. Our goal …

We consider the spatially two-dimensional version of a cross-diffusion system, as originally
proposed by Short et al. in [MB Short, MR D'Orsogna, VB Pasour, GE Tita, PJ Brantingham …

This thesis is concerned with the derivation of certain types of nonlinear partial differential
equations from stochastic interacting particle systems. The underlying methods are within …

This paper is a review and critical analysis of the mathematical kinetic theory of active
particles applied to the modelling of large living systems made up of interacting entities. The …

This paper deals with a class of macroscopic models for cell migration in a saturated
medium for two-species mixtures. Those species tend to achieve some motion according to …

We show the weak convergence, up to extraction of a subsequence, of the empirical
measure for the Keller-Segel system of particles in both subcritical and critical cases. We …

We are interested in the two-dimensional Keller–Segel partial differential equation. This
equation is a model for chemotaxis (and for Newtonian gravitational interaction). When the …

A discrete agent-based model on a periodic lattice of arbitrary dimension is considered.
Agents move to nearest-neighbor sites by a motility mechanism accounting for general …

This paper develops a Hilbert type method to derive models at the macroscopic scale for
large systems of several interacting living entities whose statistical dynamics at the …

This paper deals with the modelling of large systems of interacting individuals characterized
by a microscopic state which includes both mechanical and socio-biological activities. The …