Half-Space Modeling with Reflecting Surface in Molecular Communication
CoRR(2024)
Abstract
Molecular communications is a technique emulated by researchers, which has
already been used by the nature for millions of years. In Molecular
Communications via Diffusion (MCvD), messenger molecules are emitted by a
transmitter and propagate in the fluidic environment in a random manner. In
biological systems, the environment can be considered a bounded space,
surrounded by different structures, such as tissues and organs. The propagation
of molecules is affected by these structures in the environment, which reflect
the molecules upon collision. Hence, understanding the behavior of MCvD systems
near reflecting surfaces is important for modeling molecular communication
systems analytically. However, deriving the channel response of MCvD systems
with an absorbing spherical receiver requires solving the diffusion equation in
3-D space in the presence of a reflecting boundary, which is extremely
challenging. Therefore, derivation of the channel response in a bounded
environment has remained one of the unanswered questions in the literature. In
this paper, a method to model molecular communication systems near reflecting
surfaces is proposed, and an analytical closed-form solution for the channel
response is derived.
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