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Comparison of Electrical Equivalent Circuits of Human Tooth used for Measuring the Root Canal Length

机译:用于测量根部管长的人牙电气等效电路的比较

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摘要

An accurate determination of the root canal length, which is the most critical procedure in the endodontic treatment of a tooth, is commonly performed nowadays by electronic apex locators which are based on electrical impedance measurements. In this paper tooth impedances were measured in vitro on extracted tooth in alginate material using HP 4284A LCR meter and a specially designed stalk with a micrometer for precise file positioning. In order to develop a more accurate measurement procedure human tooth was modeled by electrical equivalent circuit. Four new equivalent circuits comprising of resistors, capacitors and constant-phase elements were proposed in this paper and compared with four previously suggested circuits. Elements of equivalent circuits were determined by complex nonlinear least squares fitting using LEVM software. Different quality factors were defined to describe the fit quality of a certain equivalent circuit at each file position. The overall fitting efficiency in the region of file positions of interest was calculated as well. A detailed discussion was given on equivalent circuit parameters that can be used to measure the root canal length. Upon these results the most appropriate equivalent circuit was selected and a new measurement procedure was proposed.
机译:如今,通常通过基于电阻抗测量的电子根尖定位器来准确确定根管长度,这是在牙髓治疗中最关键的过程。在本文中,使用HP 4284A LCR测量仪和专门设计的带有千分尺的柄来在藻酸盐材料中提取的牙齿上体外测量牙齿阻抗,以精确定位文件。为了开发更精确的测量程序,用等效电路对人的牙齿建模。本文提出了由电阻,电容器和恒相元件组成的四个新的等效电路,并将其与先前建议的四个电路进行了比较。使用LEVM软件通过复杂的非线性最小二乘拟合确定等效电路的元素。定义了不同的质量因数来描述每个文件位置上某个等效电路的拟合质量。还计算了感兴趣的文件位置区域中的总体拟合效率。给出了可用于测量根管长度的等效电路参数的详细讨论。根据这些结果,选择了最合适的等效电路,并提出了新的测量程序。

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