Channel Characteristics for Diffusive Molecular Communications in a Spherical Shell

Diffusive molecular communication (DMC) is a bio-mimicking communications paradigm that exploits the Brownian motion of dedicated information carrying molecules for signal transmission. The characteristics channel in DMC system heavily depends on transmitter and receiver mechanisms, medium propagation its boundaries, way they interact with molecules. In this work, we investigate spherical shell, inner outer surfaces which may be partially or perfectly absorptive, reflective, where either boundary can considered as receiver. These geometry conditions used to model variety practically relevant scenarios, are investigated detail. We derive general parametric solution partial differential equation case provide, first time literature, expressions resulting response. verify results our analysis numerically via particle based simulations.