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Mechanistic Multilayer Model for Non-invasive Bioimpedance of Intact Skin.

B Tsai1, E Birgersson2, U Birgersson3

  • 1Department of Chemical and Biomolecular Engineering, National University of Singapore, 4 Engineering Drive 4, Singapore, Singapore, 117585.

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|February 15, 2021
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Summary

A new semi-analytical solution models human skin's electrical impedance spectroscopy (EIS) response. This method accurately predicts skin impedance across various frequencies and subjects, validating its use in non-invasive measurements.

Keywords:
Mathematical modeladipose tissueanalytical solutionelectrical impedancestratum corneumviable skin

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Area of Science:

  • Biomedical Engineering
  • Electrical Engineering
  • Dermatology

Background:

  • Electrical Impedance Spectroscopy (EIS) is a non-invasive technique to measure tissue electrical properties.
  • Understanding skin's electrical properties is crucial for various diagnostic and therapeutic applications.
  • Existing models for skin impedance often require complex numerical solutions.

Purpose of the Study:

  • To develop and validate an approximate semi-analytical solution for EIS measurements of human skin.
  • To model the electrical response of a multi-layered skin model using a mechanistic approach.
  • To assess the solution's accuracy against experimental data and numerical simulations.

Main Methods:

  • Derivation of a semi-analytical solution using Hankel transform for an axisymmetric concentric probe.
  • Modeling human skin as a three-layer system (stratum corneum, viable skin, adipose tissue).
  • Validation using experimental EIS data from 120 subjects (1 kHz to 1 MHz) and comparison with numerical solutions.

Main Results:

  • The semi-analytical solution showed good agreement with experimental mean impedance magnitude and phase.
  • The solution accurately captured the natural variability of impedance measurements between subjects.
  • Point-wise potential distribution in the skin layers matched well with numerical solutions.

Conclusions:

  • The developed semi-analytical solution provides an efficient and accurate method for analyzing EIS data of human skin.
  • This approach offers a valuable tool for non-invasive skin characterization and potential clinical applications.
  • The model's ability to replicate experimental variability enhances its reliability for subject-specific analysis.