Diffusive Molecular Communication in a Biological Spherical Environment With Partially Absorbing Boundary

Abstract

Diffusive molecular communication (DMC) is envisioned as a promising approach to help realize healthcare applications within bounded biological environments. In this paper, a DMC system within a biological spherical environment (BSE) is considered, inspired by bounded biological sphere-like structures throughout the body. As a biological environment, it is assumed that the inner surface of the sphere's boundary is fully covered by biological receptors that may irreversibly react with hitting molecules. Moreover, information molecules diffusing in the sphere may undergo a degradation reaction and be transformed to another molecule type. Concentration Green's function (CGF) of diffusion inside this environment is analytically obtained in terms of a convergent infinite series. By employing the obtained CGF, the information channel between transmitter and transparent receiver of DMC in this environment is characterized. Interestingly, it is revealed that the information channel is reciprocal, i.e., interchanging the position of receiver and transmitter does not change the information channel. Results indicate that the conventional simplifying assumption that the environment is unbounded may lead to an inaccurate characterization in such biological environments. Index TermsDiffusive molecular communication (DMC), bounded biological environment, Green's function, Error probability.

Membrane Fusion-Based Transmitter Design for Static and Diffusive Mobile Molecular Communication Systems

“…A3) The membrane is fully covered by an infinite number of S t and the occupancy of S t by S v is ignored. Assuming perfect receptor coverage and ignoring occupancy are for the sake of tractability and have been widely adopted in previous studies, e.g., [19], [20].…”

Multi-level equilibrium signaling for molecular communication

“…Let = Rx ( , ) be the mean number of molecules of S 1 at the receiver at time . Recall that the distribution of molecules of S 1 after the first transmission can be well approximated by Rx,1 ( ) ∼ Poiss( ) (see, e.g., [4]).…”

Secrecy Capacity of Diffusive Molecular Communication Under Biological Spherical Environment

“…Furthermore, inspired by sphere like structures in the body such as stomach, lung, kidney, cells, nucleus etc., bounded spherical biological environment is found most appropriate [11]. Authors in [12], presents the impulse response of the channel with a spherical absorbing receiver, a spherical reflecting boundary, and a point transmitter.…”

“…In addition, a spherical receiver is assumed to be located at the center of the sphere with surface ligand receptors. On the other hand, authors in [11] considers a partially absorbing boundary and an arbitrary location of point source transmitter with in the sphere.…”

“…Section 2 presents detailed description of the proposed system. Expressions for capacity is However, contrast to [18] Concentration Green's function (CGF) of diffusion under BSE [11], follow asymmetry in all three dimensions, is used to present the secrecy analysis. Interestingly, the reciprocity property of CGF is also considered, i.e., interchanging the location of transmitter and receiver does not change the information channel.…”