<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A mechanistic mathematical model for electrical impedance spectroscopy (EIS) measurements of human skin is analyzed, leading to a reduced model and approximate solutions. In essence, the model considers a complex-valued Laplace equation in the frequency domain for the alternating current from a circular EIS probe passing through the layers – stratum corneum, viable skin and adipose tissue – of human skin in the frequency range 1 kHz – 1 MHz. The reduced model, which only needs to be solved numerically for the viable skin with modified boundary conditions, is verified with the full set of equations (non-reduced model): good agreement is found with a maximum relative error of less than 3%. A Hankel transform of the reduced model allows for approximate solutions of not only the measured impedance but also the point-wise potential distribution in the skin. In addition, the dimensionless numbers governing the EIS are elucidated and discussed.</p></abstract>

A mechanistic mathematical model for electrical impedance spectroscopy (EIS) measurements of human skin is analyzed, leading to a reduced model and approximate solutions. In essence, the model considers a complex-valued Laplace equation in the frequency domain for the alternating current from a circular EIS probe passing through the layers – stratum corneum, viable skin and adipose tissue – of human skin in the frequency range 1 kHz – 1 MHz. The reduced model, which only needs to be solved numerically for the viable skin with modified boundary conditions, is verified with the full set of equations (non-reduced model): good agreement is found with a maximum relative error of less than 3%. A Hankel transform of the reduced model allows for approximate solutions of not only the measured impedance but also the point-wise potential distribution in the skin. In addition, the dimensionless numbers governing the EIS are elucidated and discussed.

Analysis of a Mechanistic Model for Non-invasive Bioimpedance of Intact Skin

Journal of Electrical Bioimpedance

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Analysis of a Mechanistic Model for Non-invasive Bioimpedance of Intact Skin"}

A mechanistic mathematical model for electrical impedance spectroscopy (EIS) measurements of human skin is analyzed, leading to a reduced model and approximate...

Analysis of a Mechanistic Model for Non-invasive Bioimpedance of Intact Skin

Article Category: Articles

Published Online: Dec 08, 2017

Page range: 84 - 96

Received: Aug 01, 2017

DOI: https://doi.org/10.5617/jeb.4826

Keywords
Mathematical model, electrical impedance, stratum corneum, viable skin, equivalent circuit

© 2017 B. Tsai, H. Xue, E. Birgersson, S. Ollmar, U. Birgersson, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Analysis of a Mechanistic Model for Non-invasive Bioimpedance of Intact Skin

Article Category: Articles

Published Online: Dec 08, 2017

Page range: 84 - 96

Received: Aug 01, 2017

DOI: https://doi.org/10.5617/jeb.4826

KeywordsMathematical model, electrical impedance, stratum corneum, viable skin, equivalent circuit

© 2017 B. Tsai, H. Xue, E. Birgersson, S. Ollmar, U. Birgersson, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Mathematical model, electrical impedance, stratum corneum, viable skin, equivalent circuit