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首页> 外文期刊>American Journal of Physiology >Modeling error and stability of endothelial cytoskeletal membrane parameters based on modeling transendothelial impedance as resistor and capacitor in series.
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Modeling error and stability of endothelial cytoskeletal membrane parameters based on modeling transendothelial impedance as resistor and capacitor in series.

机译：基于串联电阻和电容的跨内皮阻抗模型，对内皮细胞骨架膜参数的误差和稳定性进行建模。

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Transendothelial impedance across an endothelial monolayer grown on a microelectrode has previously been modeled as a repeating pattern of disks in which the electrical circuit consists of a resistor and capacitor in series. Although this numerical model breaks down barrier function into measurements of cell-cell adhesion, cell-matrix adhesion, and membrane capacitance, such solution parameters can be inaccurate without understanding model stability and error. In this study, we have evaluated modeling stability and error by using a chi(2) evaluation and Levenberg-Marquardt nonlinear least-squares (LM-NLS) method of the real and/or imaginary data in which the experimental measurement is compared with the calculated measurement derived by the model. Modeling stability and error were dependent on current frequency and the type of experimental data modeled. Solution parameters of cell-matrix adhesion were most susceptible to modeling instability. Furthermore, the LM-NLS method displayed frequency-dependentinstability of the solution parameters, regardless of whether the real or imaginary data were analyzed. However, the LM-NLS method identified stable and reproducible solution parameters between all types of experimental data when a defined frequency spectrum of the entire data set was selected on the basis of a criterion of minimizing error. The frequency bandwidth that produced stable solution parameters varied greatly among different data types. Thus a numerical model based on characterizing transendothelial impedance as a resistor and capacitor in series and as a repeating pattern of disks is not sufficient to characterize the entire frequency spectrum of experimental transendothelial impedance.
机译：先前已将跨微电极上生长的内皮单层的跨内皮阻抗建模为磁盘的重复模式，其中电路由串联的电阻器和电容器组成。尽管此数值模型将屏障功能分解为细胞-细胞粘附力，细胞-基质粘附力和膜电容的测量值，但是在不了解模型稳定性和误差的情况下，此类解决方案参数可能不准确。在这项研究中，我们通过使用chi（2）评估和Levenberg-Marquardt非线性最小二乘（LM-NLS）方法评估了模型的稳定性和误差，该方法将实验测量值与实测值进行了比较。由模型得出的计算测量值。建模的稳定性和误差取决于当前的频率和建模的实验数据的类型。细胞-基质粘附的解决方案参数最容易受到模型不稳定的影响。此外，LM-NLS方法显示了取决于频率的解参数的不稳定性，无论是否分析了实数据或虚数据。但是，当根据最小化误差的标准选择整个数据集的定义频谱时，LM-NLS方法可以在所有类型的实验数据之间识别出稳定且可重现的求解参数。在不同数据类型之间，产生稳定解参数的频率带宽差异很大。因此，基于将内皮阻抗表征为串联的电阻器和电容器以及作为磁盘的重复图案的数值模型不足以表征实验内皮阻抗的整个频谱。

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