  Starting from a particle model we derive a macroscopic aggregation-diffusion
equation for the evolution of slime mold under the assumption of propagation of
chaos in the large particle limit. We analyze properties of the macroscopic
model in the stationary case and study the behavior of the slime mold between
food sources. The efficient numerical simulation of the aggregation-diffusion
equation allows for a detailed analysis of the interplay between the different
regimes drift, interaction and diffusion.
