Anchoring of drifting spiral and scroll waves to impermeable inclusions in excitable media

Anchoring of spiral and scroll waves in excitable media has attracted considerable interest in the context of cardiac arrhythmias. Here, by bombarding inclusions with drifting spiral and scroll waves, we explore the forces exerted by inclusions onto an approaching spiral and derive the equations of motion governing spiral dynamics in the vicinity of inclusion. We demonstrate that these forces nonmonotonically depend on distance and can lead to complex behavior: (a)anchoring to small but circumnavigating larger inclusions; (b)chirality-dependent anchoring.