Detection Probability in a Molecular Communication via Diffusion System with Multiple Fully-absorbing Receivers

TL;DR

This paper derives the probability of molecule detection in a 3D molecular communication system with multiple fully-absorbing receivers, considering degradable and non-degradable molecules, verified by simulations.

Contribution

It provides a novel analytical framework for detection probability in molecular communication systems with randomly distributed receivers.

Findings

Derived detection probability expressions for multiple receivers

Validated analysis with particle-based simulations

Applicable to event detection and channel modeling in molecular communications

Abstract

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.