Transdermal drug delivery is a non-invasive method of drug administration. However, to achieve this, the drug has to pass through the complicated structure of the skin. The complex structure of skin can be modelled by an electrical equivalent circuit to calculate its impedance. In this work, the transfer function of three electrical models of the human skin (Montague, Tregear and Lykken Model) based on physiological stratification are analysed. Sensitivity analysis of these models is carried out to consider the extent to which changes in system parameters (different types of R and C as described by different models) affect the behaviour of the model. Techniques like normal of derivative and Hausdorff Distance is also used to study and understand the different curves. Comparison is also made with CPE based model. As Montague Model is the most widely used model, Tregear and Lykken Model are compared with it. It can be commented that out of the above observations Tregear Model at Level 3 can be used for establishing the electrical equivalent of human skin due to its simplicity. However, fractional ordered CPE models provide a good approximation. Future prospect lies in developing a model that characterize both biological properties and physiological stratification.

中文翻译：

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基于生理分层的各种皮肤阻抗模型。

透皮给药是一种非侵入性的给药方法。然而，要实现这一点，药物必须通过皮肤的复杂结构。皮肤的复杂结构可以通过等效电路建模来计算其阻抗。在这项工作中，分析了三种基于生理分层的人体皮肤电模型（Montague、Tregear 和 Lykken 模型）的传递函数。对这些模型进行敏感性分析是为了考虑系统参数的变化（不同模型描述的不同类型的 R 和 C）对模型行为的影响程度。导数法线和豪斯多夫距离等技术也用于研究和理解不同的曲线。还与基于 CPE 的模型进行了比较。由于蒙太古模型是使用最广泛的模型，因此将Tregear和Lykken模型与之进行了比较。可以评论说，根据上述观察，第 3 级的 Tregear 模型由于其简单性，可用于建立人体皮肤的电等效。然而，分数阶 CPE 模型提供了一个很好的近似。未来的前景在于开发一个既能表征生物学特性又能表征生理分层的模型。