  Cells and organisms follow aligned structures in their environment, a process
that can generate persistent migration paths. Kinetic transport equations are a
popular modelling tool for describing biological movements at the mesoscopic
level, yet their formulations usually assume a constant turning rate. Here we
relax this simplification, extending to include a turning rate that varies
according to the anisotropy of a heterogeneous environment. We extend known
methods of parabolic and hyperbolic scaling and apply the results to cell
movement on micro-patterned domains. We show that inclusion of orientation
dependence in the turning rate can lead to persistence of motion in an
otherwise fully symmetric environment, and generate enhanced diffusion in
structured domains.
