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

Conference contribution
(Conference Contribution)


Publication Details

Author(s): Schäfer M, Wicke W, Rabenstein R, Schober R
Publication year: 2019
Language: English


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.


FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Technische Fakultät
Schäfer, Maximilian
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Schober, Robert Prof. Dr.-Ing.
Lehrstuhl für Digitale Übertragung
Wicke, Wayan
Lehrstuhl für Digitale Übertragung


How to cite

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 Proceedings of the IEEE International Conference on Communications (ICC 2019). 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 2019), Shanghai 2019.

BibTeX: 

Last updated on 2019-16-04 at 21:23