70 citations · 433 across the 44 of their papers we have counts for
3 papers · 2 filters
Parameter estimation for macroscopic pedestrian dynamics models from microscopic data
Susana N. Gomes, Andrew M. Stuart, Marie-Therese Wolfram
In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow…
Mean field models for segregation dynamics
Martin Burger, Jan-Frederik Pietschmann, Helene Ranetbauer +2
In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the…
Asymptotic models for transport in large aspect ratio nanopores
B. Matejczyk, J. -F. Pietschmann, G. Richardson +1
Ion flow in charged nanopores is strongly influenced by the ratio of the Debye length to the pore radius. We investigate the asymptotic behaviour of solutions to the Poisson-Nernst…