On the Effect of Flow and Degradation on Hitting Rate of Mobile Nano Sensors in DiffusiveMolecular Communication Systems

Abstract

In the paper, an analysis regarding the effect of drift and molecular degradation on the average number of molecules received at the fusion center (FC) for a diffusive log-normal molecular communication (MC) system is undertaken. The effect of drift and molecular degradation simultaneously on molecular reception has not been examined exhaustively in MC literature. Therefore, by utilizing the log-normal distribution of the number of molecules hitting FC, we calculated the closed-form expressions for the average number of molecules received in a drift and molecular degradation-free scenario. Subsequently, we also analytically calculated the closed-form expressions for the average number of molecules received at FC for a drift-only scenario, and a drift with molecular degradation scenario, respectively. Numerical results highlight lower average molecular receptions at FC when the transmission media neither experiences drift nor molecular degradation. The drift introduction in the molecular degradation-free system significantly increases the average molecular receptions at FC. On the contrary, with the simultaneous introduction of molecular degradation, the average number of molecular receptions at FC is significantly higher. Finally, all the numerical results corroborate the derived analytical findings.