Connectivity in Molecular Communication With Random Time Constraints

The spatial randomness of nanomachines and propagation time of molecules play an essential role for determining the quality of molecular communication between nanomachines. In this study, we introduce a connectivity model in which the connection between a transmit nanomachine (TN), which is randomly distributed in space, and a receive nanomachine (RN) is achieved when a molecule emitted from the TN arrives at the RN within a time constraint. In particular, this time constraint is modeled as a random lifetime to explain the dissipation phenomenon of molecules in a medium or the random arrival time of interfering molecules. Then, we characterize the local connectivity of the RN in terms of the in-degree by averaging over the spatial randomness of nanomachines and the random first passage time of molecules, which is governed by an anomalous diffusion law.