Molecular Communication in Bounded Spherical Region With Anomalous Diffusion Phenomenon

In this work, we develop the channel model of a molecular communication (MC) system with molecules propagating via anomalous diffusion in a confined environment, in particular, inside a spherical region. The MC system consists of an absorbing receiver located at the center of the region and a point transmitter, whereas the outer boundary is fully reflecting. We first obtain the concentration profile of molecules inside the region at a given time. Further, we derive the hitting rate and hitting probability to characterize the channel.