A stochastic model for molecular communications

In this paper we present a stochastic model for molecular communication, which accounts for particle dynamics and noise. Differently from existing approaches, we consider that molecules carrying information may interact with the transmission medium. These interactions are modelled by means of absorption, duplication and spontaneous emission phenomena. Using tools from stochastic processes we provide a complete statistical characterization of the evolution over time of the number of molecules present in the transmission medium. The model is applied to the study of flow-based and diffusion-based molecular communication.