A Semi-Analytical Method for Channel Modeling in Diffusion-Based Molecular Communication Networks

Channel modeling is a challenging vital step towards the development of diffusion-based molecular communication networks (DMCNs). Analytical approaches for diffusion channel are limited to simple and specific geometries boundary conditions. Also, simulation- experiment-driven methods very time-consuming computationally complex. In this paper, model DMCN employing fundamental concentration Green's function (CGF) characterized. A general homogeneous condition framework considered that includes any linear reaction systems at boundaries in environment. To obtain CGF including multiple transmitters, receivers, other objects with arbitrary conditions, semi-analytical method (SAM) proposed. The integral equation (CLIE) analytically derived. By numerical moments, problem derivation from CLIE transformed into an inverse matrix problem. Moreover, sequential SAM proposed converts inversion large smaller matrices reducing computational complexity. Particle-based simulator confirms results obtained SAM. convergence run time examined. Further, error probability system analyzed examined using method.