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THE SENSITIVITY OF THE PASSIVE BIDOMAIN EQUATION TO VARIATIONS IN SIX CONDUCTIVITY VALUES

机译:被动二元方程对六个电导率值的敏感性

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Previous work has shown that variations in cardiac conductivityvalues have significant effects on the resulting epicardialpotential distributions arising from subendocardialischaemia. This work carries on from a previous study inthis area by allowing for variation in (the more physiologicallyrealistic) six, rather than four, conductivity values.This is achieved by relaxing the usual assumption that thecardiac conductivity values in both normal directions, onenormal to the fibres within the sheet and the other normal tothe sheet, are equal. An extended non–dimensional formulationis derived for the passive bidomain equation, leadingto a normal direction dimensionless conductivity ratio,in addition to the previously found ratios in the transverseand longitudinal directions. Two six–conductivity datasetsare used to set up a parameter space for the above ratios,from which epicardial potential distributions are derivedand compared. Results from this study appear to supportthe conclusions of the previous four–conductivity study;that is, differences in the epicardial potential distributionsare best explained by variations in the ratio of the intracellularlongitudinal conductivity to the intracellular transverseconductivity.
机译:先前的研究表明心脏电导率的变化 值对产生的心外膜有重大影响 心内膜下的潜在分布 缺血。这项工作是根据以前的研究进行的 通过允许(在生理上 现实)六个而不是四个电导率值。 这是通过放宽通常的假设,即 正常两个方向上的心电导率值之一 垂直于片材中的纤维,另一个垂直于 床单是相等的。扩展的无量纲公式 是为被动双畴方程导出的,导致 到法向方向的无量纲电导率, 除了先前发现的横向比率 和纵向。两个六电导率数据集 用于为上述比率设置参数空间, 心外膜电位分布所依据的 并进行比较。这项研究的结果似乎支持 先前的四导电性研究的结论; 即心外膜电位分布的差异 最好用细胞内比率的变化来解释 纵向传导至细胞内横向 电导率。

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