  Many studies have shown that Physarum polycephalum slime mold is able to find
the shortest path in a maze. In this paper we study this behavior in a network,
using a hyperbolic model of chemotaxis. Suitable transmission and boundary
conditions at each node are considered to mimic the behavior of such an
organism in the feeding process. Several numerical tests are presented for
special network geometries to show the qualitative agreement between our model
and the observed behavior of the mold.
