  We explore a biomimetic model that simulates a cell, with the internal
cytoplasm represented by a two-dimensional circular domain and the external
cortex by a surrounding ring, both modeled using FitzHugh-Nagumo systems. The
external ring is dynamically influenced by a pacemaker-driven wave originating
from the internal domain, leading to the emergence of three distinct dynamical
states based on the varying strengths of coupling. The range of dynamics
observed includes phase patterning, the propagation of phase waves, and
interactions between traveling and phase waves. A simplified linear model
effectively explains the mechanisms behind the variety of phase patterns
observed, providing insights into the complex interplay between a cell's
internal and external environments.
