Lecture

Modeling of pedestrian dynamics, road traffic and intracellular transport.
Cécile Appert-Rolland (Université Paris-Sud, Laboratory of Theoretical Physics)

In this course, we shall see how the various types of models developed for fluids have been extended first to road traffic, then to pedestrian dynamics. As these transportation systems are less constrained by conservation laws than fluids, it has been necessary to perform experimental studies and real life measurements to get insight into their behavior. The course will give an overview of existing models, ranging from microscopic agent-based models to macroscopic fluid-like models, from mechanistic approaches to more cognitive ones, from deterministic to stochastic ones. We shall discuss the special case of high density crowds. Crowds also exhibit various pattern formation phenomena that will be llustrated. To end with, we shall change scale and consider the stochastic molecular pedestrians that are responsible for transport inside cells.

Simulations
- simulation of car-following models (OV, tordeux et al, etc)
- simulations of the Tordeux-Seyfried model: simu 1, simu 2 and simu 3.
- simulations for the pedestrian dynamics: Boids model, Synthetic-vision based model

Videos: [lecture1], [lecture2], [lecture3]