TY - JOUR AB - We present an individual-based model describing disk-like self-propelled particles movinginside parallel planes. The disk directions of motion follow alignment rules insideeach layer. Additionally, the disks are subject to interactions with those of the neighboringlayers arising from volume exclusion constraints. These interactions affect the diskinclinations with respect to the plane of motion. We formally derive a macroscopic modelcomposed of planar self-organized hydrodynamic (SOH) models describing the transportof mass and evolution of mean direction of motion of the disks in each plane, supplementedwith transport equations for the mean disk inclination. These planar modelsare coupled due to the interactions with the neighboring planes. Numerical comparisonsbetween the individual-based and macroscopic models are carried out. These modelscould be applicable, for instance, to describe sperm-cell collective dynamics. AU - Degond,P AU - Navoret,L DO - 10.1142/S021820251540014X EP - 2475 PY - 2015/// SN - 0218-2025 SP - 2439 TI - A multi-layer model for self-propelled disks interacting through alignment and volume exclusion T2 - Mathematical Models and Methods in Applied Science UR - http://dx.doi.org/10.1142/S021820251540014X UR - http://hdl.handle.net/10044/1/25417 VL - 25 ER -