Biological dispersion in the time domain using finite element method software

Abstract Biological tissue exhibits a strong dielectric dispersion from DC to GHz. Implementing biological dispersion in the time domain with commercial finite element method software could help improve engineering analysis of electrical transient phenomena. This article describes the steps required...

Full description

Bibliographic Details
Main Authors: Raul Guedert, Daniella L. L. S. Andrade, Guilherme B. Pintarelli, Daniela O. H. Suzuki
Format: Article
Language:English
Published: Nature Portfolio 2023-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-49828-1
_version_ 1797377033556197376
author Raul Guedert
Daniella L. L. S. Andrade
Guilherme B. Pintarelli
Daniela O. H. Suzuki
author_facet Raul Guedert
Daniella L. L. S. Andrade
Guilherme B. Pintarelli
Daniela O. H. Suzuki
author_sort Raul Guedert
collection DOAJ
description Abstract Biological tissue exhibits a strong dielectric dispersion from DC to GHz. Implementing biological dispersion in the time domain with commercial finite element method software could help improve engineering analysis of electrical transient phenomena. This article describes the steps required to implement time-domain biological dispersion with commercial finite element method software. The study begins with the presentation of a genetic algorithm to fit the experimental dispersion curve of Solanum tuberosum (potato tuber) to multipoles of first-order Debye dispersion. The results show that it is possible to represent the biological dispersion of S. tuberosum from 40 Hz to 10 MHz in a 4-pole Debye dispersion. Then, a set of auxiliary differential equations is used to transform the multipole Debye dispersion from the frequency domain to the time domain. The equations are implemented in the commercial software COMSOL Multiphysics. A comparison between the frequency and time domain simulations was used to validate the method. An analysis of the electric current with square-wave pulsed voltage was performed. We found that the computer implementation proposed in this work can describe the biological dispersion and predict the electric current.
first_indexed 2024-03-08T19:47:12Z
format Article
id doaj.art-3be2b55be83f47e1b22ccabb685cad3d
institution Directory Open Access Journal
issn 2045-2322
language English
last_indexed 2024-03-08T19:47:12Z
publishDate 2023-12-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj.art-3be2b55be83f47e1b22ccabb685cad3d2023-12-24T12:16:48ZengNature PortfolioScientific Reports2045-23222023-12-011311910.1038/s41598-023-49828-1Biological dispersion in the time domain using finite element method softwareRaul Guedert0Daniella L. L. S. Andrade1Guilherme B. Pintarelli2Daniela O. H. Suzuki3Department of Electrical and Electronic Engineering, Centre of Technology, Institute of Biomedical Engineering, Federal University of Santa CatarinaDepartment of Electrical and Electronic Engineering, Centre of Technology, Institute of Biomedical Engineering, Federal University of Santa CatarinaDepartment of Control, Automation and Computer Engineering, Federal University of Santa CatarinaDepartment of Electrical and Electronic Engineering, Centre of Technology, Institute of Biomedical Engineering, Federal University of Santa CatarinaAbstract Biological tissue exhibits a strong dielectric dispersion from DC to GHz. Implementing biological dispersion in the time domain with commercial finite element method software could help improve engineering analysis of electrical transient phenomena. This article describes the steps required to implement time-domain biological dispersion with commercial finite element method software. The study begins with the presentation of a genetic algorithm to fit the experimental dispersion curve of Solanum tuberosum (potato tuber) to multipoles of first-order Debye dispersion. The results show that it is possible to represent the biological dispersion of S. tuberosum from 40 Hz to 10 MHz in a 4-pole Debye dispersion. Then, a set of auxiliary differential equations is used to transform the multipole Debye dispersion from the frequency domain to the time domain. The equations are implemented in the commercial software COMSOL Multiphysics. A comparison between the frequency and time domain simulations was used to validate the method. An analysis of the electric current with square-wave pulsed voltage was performed. We found that the computer implementation proposed in this work can describe the biological dispersion and predict the electric current.https://doi.org/10.1038/s41598-023-49828-1
spellingShingle Raul Guedert
Daniella L. L. S. Andrade
Guilherme B. Pintarelli
Daniela O. H. Suzuki
Biological dispersion in the time domain using finite element method software
Scientific Reports
title Biological dispersion in the time domain using finite element method software
title_full Biological dispersion in the time domain using finite element method software
title_fullStr Biological dispersion in the time domain using finite element method software
title_full_unstemmed Biological dispersion in the time domain using finite element method software
title_short Biological dispersion in the time domain using finite element method software
title_sort biological dispersion in the time domain using finite element method software
url https://doi.org/10.1038/s41598-023-49828-1
work_keys_str_mv AT raulguedert biologicaldispersioninthetimedomainusingfiniteelementmethodsoftware
AT daniellallsandrade biologicaldispersioninthetimedomainusingfiniteelementmethodsoftware
AT guilhermebpintarelli biologicaldispersioninthetimedomainusingfiniteelementmethodsoftware
AT danielaohsuzuki biologicaldispersioninthetimedomainusingfiniteelementmethodsoftware