Analytical Models for Particle Diffusion and Flow in a Horizontal Cylinder with a Vertical Force

Schäfer M, Wicke W, Rabenstein R, Schober R (2019)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2019

Event location: Shanghai

ISBN: 978-1-5386-8088-9

DOI: 10.1109/ICC.2019.8761148

Abstract

This paper considers particle propagation in a cylindrical molecular communication channel, e.g. a simplified model of a blood vessel. Emitted particles are influenced by diffusion, flow, and a vertical force induced e.g. by gravity or magnetism. The dynamics of the diffusion process are modeled by multi-dimensional transfer functions in a spatio-temporal frequency domain. Realistic boundary conditions are incorporated by the design of a feedback loop. The result is a discrete-time semi-analytical model for the particle concentration in the channel. The model is validated by comparison to particle-based simulations. These numerical experiments reveal that the particle concentration of the proposed semi-analytical model and the particle-based model are in excellent agreement. The analytical form of the proposed solution provides several benefits over purely numerical models, e.g. high variability, existence of low run-time algorithms, extendability to several kinds of boundary conditions, and analytical connection to parameters from communication theory.

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APA:

Schäfer, M., Wicke, W., Rabenstein, R., & Schober, R. (2019). Analytical Models for Particle Diffusion and Flow in a Horizontal Cylinder with a Vertical Force. In IEEE (Eds.), Proceedings of the IEEE International Conference on Communications (ICC). Shanghai, CN.

MLA:

Schäfer, Maximilian, et al. "Analytical Models for Particle Diffusion and Flow in a Horizontal Cylinder with a Vertical Force." Proceedings of the IEEE International Conference on Communications (ICC), Shanghai Ed. IEEE, 2019.

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