On the transport of molecular information in sub-diffusion media with reflecting boundary

Lokendra Chouhan, Mohamed-Slim Alouini

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This work exploits a one-dimensional (1-D) molecular communication (MC) between two nodes considering the sub-diffusion phenomenon for the propagation of information-carrying molecules (ICMs). We also assume that the transmitter (Tx) is surrounded on both sides by an absorbing receiver (Rx) and a reflecting boundary. In this context, we emanate the expressions for the probability density function (PDF) for the spatial-temporal distribution of molecules in terms of the Mittag-Leffler function (MLF). Further, we also find closed-form expressions for ICMs' survival probability (SP) and first arrival probability (FAP) for the considered setup. Moreover, we also derive a closed-form expression of the first arrival time density (FATD) function, an essential mathematical tool to analyze any MC system. We also investigate the effects of reflecting boundary presence on the MC setup based on bit-error-rate performance. Above all, particle-based and Monte-Carlo simulations are performed to validate our analytical expressions.
Original languageEnglish (US)
Title of host publicationProceedings of the 9th ACM International Conference on Nanoscale Computing and Communication
StatePublished - Oct 5 2022

Bibliographical note

KAUST Repository Item: Exported on 2022-10-07


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