  In this paper, the dynamic of inertial capsules into microfluidic
bifurcations is studied. The fluid evolution is based on the solution of the
BGK -- lattice Boltzmann scheme including a forcing term accounting for
immersed geometries. The dynamic-Immersed Boundary forcing strategy is adopted
for imposing no-slip boundary conditions on moving deformable or rigid
structures, while, on fixed immersed geometries the Bouzidi-Firdaouss-Lallemand
second-order bounce back technique is implemented. The proposed computational
framework is employed to detail dynamics and deformation of rigid and
deformable capsules traveling into a branching duct. This journey is
characterized in terms of i) the capsule/bifurcation interaction depending on
the sharpness of the branching channels junction; ii) daughter branches
aperture angle; iii) occlusion ratio, the ratio between capsule size and main
channel diameter; iv) flowing capsules stiffness; v) number of flowing
particles.
