Location identifier based addressing scheme for molecular communication networks

Networking over molecular signals is an important component of many new technologies, e.g., Internet of Bio-Nano Things (IoBNT) and Internet of Ingestible Things (IoIT). Assigning addresses to communicating nodes in a molecular communication (MC) network is an open problem in scientific literature due to challenges like probabilistic reception, undirected motion of molecular signals, and computational resource constraints. In this work, we propose a location identifier based addressing scheme that employs concentration gradient of molecular signals to assign addresses to stationary receiver nodes. Four different types of molecular signals are employed, which are emitted from four distinct addressing nodes. Interdependence between molecular receptivities at an addressed node is modeled using $t-$copula. A bijective mapping between the addresses and receiver nodes’ locations is established to render mathematical validation to the proposed addressing scheme. Finally, an analytical expression of probability of addressing error ($P_{\text{add}}^{\text{avg}}$) averaged over several spatial configurations of addressed nodes is obtained, where the nodes are distributed as uniform binomial point process. It is shown that $P_{\text{add}}^{\text{avg}}$ increases as $O\left(n\right)$ with increasing number of addressed nodes ($n$).