Diffusive Molecular Communication in Biological Cylindrical Environment

Zoofaghari, Mohammad; Arjmandi, Hamidreza

doi:10.48550/arxiv.1807.02683

Cited by 1 publication

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“…Finally, the error probability of DMC with a simple on-off keying modulation over this channel is derived. The results in this section are adapted from our previous work [20] which is necessary to support the results that will come in Section V.…”

Section: Characterization Of Received Signalmentioning

confidence: 87%

“…Considering (7) and the obtained separated solutions of ( 11), ( 15), (20), and (24), the principal solution of the primal diffusion equation (3) subject to the boundary condition ( 5) is given by…”

Section: A Cgf Of Diffusion In Biological Spherical Environmentmentioning

confidence: 99%

“…In [19], the authors obtained the channel impulse response for a 3-D microfluidic channel environment in the presence of flow where the boundaries are reflective. Also, in [20] we obtain the concentration Green's function in a biological cylindrical environment where the boundary is covered by receptor proteins and information molecules are subject to both flow and chemical degradation.…”

Section: Introductionmentioning

confidence: 99%

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

Arjmandi

Zoofaghari

Noel

2019

IEEE Trans. Commun.

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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.

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Section: Characterization Of Received Signalmentioning

confidence: 87%

Section: A Cgf Of Diffusion In Biological Spherical Environmentmentioning

confidence: 99%