Synchronization on spherical surface

The study of cilia-driven flow extends in embryo development, where the emergence of asymmetry is closely linked to the subsequent formation of asymmetric organs and morphological structures. Symmetry-breaking events, facilitated by ciliary-induced fluid flow, are observed across various species, including mice, Xenopus, zebrafish, etc. My interest lies in understanding of cilia function in the directional flow formation.

Phase synchronization of oscillators on inner spherical surface. Simulation of 2000 oscillators dynamics on upper hemisphere (left) and bottom hemisphere (right) surface. Consider Stokes flow inside the sphere.