Channel capacity modelling of blood capillary-based molecular communication with blood flow drift

Abstract

Molecular communication (MC) is a bio-inspired communication method in future Nano-networks. This paper follows a new bio-phenomenon into MC, namely, blood vessels. While previous work on blood vessels or blood capillary focus on free diffusion without drift and described by Ficks second law, a more precise, kinetic stochastic differential equation, Langevin equation is used instead to model the blood flow and drift. Further more, blood flow in blood vessels considered a laminar flow model rather than turbulent flow. The solution of Fokker-Planck equation, corresponding to Langevin equation, is provided by drift coefficient and diffusion coefficient in the blood vessels environment. Finally, we derive channel capacity expression for single access channel. Numerical results present the relationship between channel capacity and parameters in the blood vessels.