RELATING EPICARDIAL TO BODY-SURFACE POTENTIAL DISTRIBUTIONS BY MEANS OF TRANSFER-COEFFICIENTS BASED ON GEOMETRY MEASUREMENTS
RELATING EPICARDIAL TO BODY-SURFACE POTENTIAL DISTRIBUTIONS BY MEANS OF TRANSFER-COEFFICIENTS BASED ON GEOMETRY MEASUREMENTS
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DOI：
10.1109/tbme.1977.326201
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发表时间：
1977-01-01
影响因子：
4.6
通讯作者：
SPACH, MS
中科院分区：
文献类型：
--
作者：
BARR, RC;RAMSEY, M;SPACH, MS
尽管在整个世纪中已经知道，通过心脏的电生理特性在身体表面上产生电事件的复杂序列，但是基于心脏几何形状和电活动的实验测量，这些身体表面事件能够在数学上解释得多好的问题仍然没有答案。实验能力的最新进展已经使得使用长期植入电极以保持体积导体完整的体内动物制剂的心脏心外膜和相应的体表电位分布的近同时测量成为可能。本报告提供了一种方法，用于找到传递系数，心外膜和体表电位分布相互关联。该方法基于知道每个电极的几何位置，并且基于具有足够的电极来建立闭合的心外膜和身体表面的几何形状和电势分布。然而，该方法不要求心脏或身体表面具有任何特殊形状，例如球体的形状，或者除了电势之外还已知任何电学量，例如电压梯度。使用电势分布来表示心脏电活动是有利的，因为这样的分布可以通过实验直接测量，而不需要变换为任何其他形式，例如多个电流生成偶极子。这份报告包括一个声明的基本积分方程，程序.从几何测量值求方程系数的方法，计算机算法的一些考虑，以及一个例子。
Although it has been known throughout this century that a complex sequence of electrical events is produced on the body surface by the electrophysiological properties of the heart, the question of how well these body surface events can be explained mathematically on the basis of experimental measurements of cardiac geometry and electrical activity remains unanswered. Recent advances in experimental capabilities have made possible the near simultaneous measurement of both cardiac epicardial and corresponding body surface potential distributions from in vivo animal preparations using chronically implanted electrodes to keep the volume conductor intact. This report provides a method for finding transfer coefficients that relate the epicardial and body surface potential distributions to each other. The method is based on knowing the geometric location of each electrode, and on having enough electrodes to establish the geometric shape and the potential distribution of closed epicardial and body surfaces. However, the method does not require that either the heart or body surfaces have any special shape, such as that of a sphere, or that any electrical quantities, such as voltage gradients, be known in addition to the potentials. The use of potential distributions to represent heart electrical activity is advantageous since such distributions can be directly measured experimentally, without a transformation to any other form, such as multiple current-generating dipoles, being required. This report includes a statement of the underlying integral equations, the procedure. for finding the equations' coefficients from geometry measurements, some considerations for computer algorithms, and an example.