Crowded transport can be observed on various scales in the life and social sciences. Examples include the motion of charged particles through ion channels, the flow of large pedestrian crowds or the collective behavior of animals like fish or bird. In all these processes the physical size of the moving individuals as well as the interactions between them and their environment play an important role in the transportation process.
In the New Frontiers group we focus on different modeling approaches for crowded transport and the analysis of the resulting mathematical models. In particular we are interested how microscopic interactions lead to complex macroscopic features, such as lane or pattern formation, and develop analytic and numerical tools to understand and analyze these dynamics on various scales.