  We present an individual-based model describing disk-like self-propelled
particles moving inside parallel planes. The disk directions of motion follow
alignment rules inside each layer. Additionally, the disks are subject to
interactions with those of the neighboring layers arising from volume exclusion
constraints. These interactions affect the disk inclinations with respect to
the plane of motion. We formally de-rive a macroscopic model composed of planar
Self-Organized Hydrodynamic (SOH) models describing the transport of mass and
evolution of mean direction of motion of the disks in each plane, supplemented
with transport equations for the mean disk inclination. These planar models are
coupled due to the interactions with the neighboring planes. Numerical
comparisons between the individual-based and macroscopic models are carried
out. These models could be applicable, for instance, to describe sperm-cell
collective dynamics.
