English Anthony E, Plaut Conrad P, Moy Alan B
Department of Mechanical, Aerospace and Biomedical Engineering, The University of Tennessee, Knoxville, TN 37996, USA.
J Math Biol. 2007 Nov;55(5-6):721-43. doi: 10.1007/s00285-007-0103-9. Epub 2007 Jun 14.
Endothelial cell adhesion and barrier function play a critical role in many biological and pathophysiological processes. The decomposition of endothelial cell adhesion and barrier function into cell-cell and cell-matrix components using frequency dependent cellular micro-impedance measurements has, therefore, received widespread application. Few if any studies, however, have examined the precision of these model parameters. This study presents a parameter sensitivity analysis of a representative cellular barrier function model using a concise geometric formulation that includes instrumental data acquisition settings. Both model state dependence and instrumental noise distributions are accounted for within the framework of Riemannian manifold theory. Experimentally acquired microimpedance measurements of attached endothelial cells define the model state domain, while experimentally measured noise statistics define the data space Riemannian metric based on the Fisher information matrix. The results of this analysis show that the sensitivity of cell-cell and cell-matrix impedance components are highly model state dependent and several well defined regions of low precision exist. The results of this study further indicate that membrane resistive components can significantly reduce the precision of the remaining parameters in these models.
内皮细胞黏附及屏障功能在许多生物学和病理生理学过程中发挥着关键作用。因此，利用频率依赖性细胞微阻抗测量将内皮细胞黏附及屏障功能分解为细胞-细胞和细胞-基质成分已得到广泛应用。然而，几乎没有研究考察过这些模型参数的精度。本研究使用一种简洁的几何公式（包括仪器数据采集设置）对一个具有代表性的细胞屏障功能模型进行了参数敏感性分析。在黎曼流形理论框架内考虑了模型状态依赖性和仪器噪声分布。附着内皮细胞的实验获得的微阻抗测量值定义了模型状态域，而实验测量的噪声统计数据基于费希尔信息矩阵定义了数据空间黎曼度量。该分析结果表明，细胞-细胞和细胞-基质阻抗成分的敏感性高度依赖于模型状态，并且存在几个定义明确的低精度区域。本研究结果进一步表明，膜电阻成分可显著降低这些模型中其余参数的精度。
