In this letter, we consider a 3D molecular communication via diffusion system (MCvDS) with a single point transmitter and multiple fully-absorbing spherical receivers whose centers are distributed as a Poisson point process (PPP) in the medium. We derive the probability that a transmitted molecule hits any of the receivers within time t. We consider both degradable and non-degradable molecules. We verify the analysis using particle-based simulation. The framework can be used for various applications, e.g., to derive event detection probability for systems where the IMs are transmitted to convey the occurrence of a particular event to trigger reactions at receivers or can be used as channel models for such systems.
@article{arxiv.2008.08425,
title = {Detection Probability in a Molecular Communication via Diffusion System with Multiple Fully-absorbing Receivers},
author = {Nithin V. Sabu and Abhishek K. Gupta},
journal= {arXiv preprint arXiv:2008.08425},
year = {2020}
}