Publication detail

A Comparative Study of Two Fractional-Order Equivalent Electrical Circuits for Modeling the Electrical Impedance of Dental Tissues

HERENCSÁR, N. FREEBORN, J. T. KARTCI, A. CICEKOGLU, O.

Original Title

A Comparative Study of Two Fractional-Order Equivalent Electrical Circuits for Modeling the Electrical Impedance of Dental Tissues

Type

journal article in Web of Science

Language

English

Original Abstract

Background: Electrical impedance spectroscopy (EIS) is a fast, non-invasive, and safe approach for electrical impedance measurement of biomedical tissues. Applied to dental research, EIS has been used to detect tooth cracks and caries with higher accuracy than visual or radiographic methods. Recent studies have reported age-related differences in human dental tissue impedance and utilized fractional-order equivalent circuit model parameters to represent these measurements. Objective: We aimed to highlight that fractional-order equivalent circuit models with different topologies (but same number of components) can equally well model the electrical impedance of dental tissues. Additionally, this work presents an equivalent circuit network that can be realized using Electronic Industries Alliance (EIA) standard compliant RC component values to emulate the electrical impedance characteristics of dental tissues. Results: To validate the results, the goodness of fits of electrical impedance models were evaluated visually and statistically in terms of relative error, mean absolute error (MAE), root mean squared error (RMSE), coefficient of determination (R2), Nash–Sutcliffe’s efficiency (NSE), Willmott’s index of agreement (WIA), or Legates’s coefficient of efficiency (LCE). The fit accuracy of proposed recurrent electrical impedance models for data representative of different age groups teeth dentin supports that both models can represent the same impedance data near perfectly. Significance: With the continued exploration of fractional-order equivalent circuit models to represent biological tissue data, it is important to investigate which models and model parameters are most closely associated with clinically relevant markers and physiological structures of the tissues/materials being measured and not just “fit” with experimental data. This exploration highlights that two different fractional-order models can fit experimental dental tissue data equally well, which should be considered during studies aimed at investigating different topologies to represent biological tissue impedance and their interpretation.

Keywords

bioimpedance; biomedical tissue; Cole–Cole model; constant phase element; CPE; electrical impedance spectroscopy; EIS; fractional calculus; human tooth dentin model; Valsa method

Authors

HERENCSÁR, N.; FREEBORN, J. T.; KARTCI, A.; CICEKOGLU, O.

Released

3. 10. 2020

Publisher

MDPI

ISBN

1099-4300

Periodical

ENTROPY

Year of study

22

Number

10

State

Swiss Confederation

Pages from

1

Pages to

19

Pages count

19

URL

https://www.mdpi.com/1099-4300/22/10/1117

Full text in the Digital Library

http://hdl.handle.net/11012/195253

BibTex

@article{BUT165494,
  author="Norbert {Herencsár} and Todd {Freeborn} and Aslihan {Kartci} and Oguzhan {Cicekoglu}",
  title="A Comparative Study of Two Fractional-Order Equivalent Electrical Circuits for Modeling the Electrical Impedance of Dental Tissues",
  journal="ENTROPY",
  year="2020",
  volume="22",
  number="10",
  pages="1--19",
  doi="10.3390/e22101117",
  issn="1099-4300",
  url="https://www.mdpi.com/1099-4300/22/10/1117"
}