A Comparative Study of Two Fractional-Order Equivalent Electrical Circuits for Modeling the Electrical Impedance of Dental Tissues.
A Comparative Study of Two Fractional-Order Equivalent Electrical Circuits for Modeling the Electrical Impedance of Dental Tissues.
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DOI：
10.3390/e22101117
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发表时间：
2020-10-03
期刊：
影响因子：
--
通讯作者：
Cicekoglu O
中科院分区：
文献类型：
--
作者：
Herencsar N;Freeborn TJ;Kartci A;Cicekoglu O
背景：电阻抗谱（EIS）是一种快速、无创、安全的生物医学组织电阻抗测量方法。应用于牙科研究，EIS已被用于检测牙齿裂缝和龋齿，比视觉或放射学方法具有更高的准确性。最近的研究报道了人类牙齿组织阻抗与年龄相关的差异，并利用分数阶等效电路模型参数来表示这些测量结果。目的：我们旨在强调具有不同拓扑结构（但元件数量相同）的分数阶等效电路模型同样可以很好地模拟牙齿组织的电阻抗。此外，这项工作提出了一个等效电路网络，可以使用符合电子工业联盟（EIA）标准的RC组件值来模拟牙齿组织的电阻抗特性。结果：为了验证结果，通过相对误差、平均绝对误差（MAE）、均方根误差（RMSE）、决定系数（）、Nash-Sutcliffe效率（NSE）、Willmott一致指数（WIA）或Legates效率系数（LCE）对电阻抗模型的拟合优度进行直观和统计评价。所提出的递归电阻抗模型对不同年龄组牙本质数据的拟合精度支持两种模型可以近乎完美地表示相同的阻抗数据。意义：随着分数阶等效电路模型的不断探索，哪些模型和模型参数与被测组织/材料的临床相关标志物和生理结构最密切相关，而不仅仅是与实验数据“拟合”，这一点很重要。这一探索强调了两种不同的分数阶模型可以同样很好地拟合实验牙组织数据，在研究不同拓扑结构来表示生物组织阻抗及其解释时应该考虑到这一点。
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 (), 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.
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