Tsai B, Birgersson E, Birgersson U
Department of Chemical and Biomolecular Engineering, National University of Singapore, 4 Engineering Drive 4, Singapore, Singapore, 117585.
Department of Mechanical Engineering, National University of Singapore, 5 Engineering Drive 2, Singapore, Singapore, 117576.
J Electr Bioimpedance. 2018 Aug 18;9(1):31-38. doi: 10.2478/joeb-2018-0006. eCollection 2018 Jan.
An approximate semi-analytical solution based on a Hankel transform of a mechanistic model for electrical impedance spectroscopy (EIS) is derived for a non-invasive axisymmetric concentric probe with electrodes measuring the response of layers of human skin. We validate the semi-analytical solution for the case when the skin is treated as a three-layer entity - () stratum corneum, () viable skin comprising living epidermis and dermis and () adipose tissue - on the volar forearm in the frequency range 1 kHz to 1 MHz with experimental EIS measurements of 120 young subjects. Overall, we find good agreement for both the mean magnitude and phase of the impedance as well as the natural variability between subjects. Finally, the semi-analytical solution is verified with the full set of equations solved numerically: Good agreement is found for the point-wise potential distribution in the three skin layers.
基于用于电阻抗谱（EIS）的机理模型的汉克尔变换，推导了一种近似半解析解，用于具有电极的非侵入性轴对称同心探头，该探头测量人体皮肤各层的响应。我们在1kHz至1MHz频率范围内，通过对120名年轻受试者的实验EIS测量，验证了将皮肤视为三层结构（（1）角质层、（2）包括活表皮和真皮的有活力皮肤以及（3）脂肪组织）时，在手掌前臂上的半解析解。总体而言，我们发现阻抗的平均幅度和相位以及受试者之间的自然变异性都有很好的一致性。最后，用数值求解的全套方程验证了半解析解：在三个皮肤层中的逐点电位分布方面发现了很好的一致性。
