The Laplacian inverse problem of electrocardiography: an eccentric spheres study
The Laplacian inverse problem of electrocardiography: an eccentric spheres study
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心电图的拉普拉斯逆问题：偏心球研究
DOI：
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发表时间：
1997
影响因子：
4.6
通讯作者：
P. Johnston
中科院分区：
文献类型：
--
作者：
P. Johnston
本文采用心脏-躯干系统的偏心球模型，通过测量体表电位分布的拉普拉斯算子来研究心电图的逆问题。通过考虑放置在内球体内的有限数量的电流偶极子，在内表面的六个主要区域上模拟电活动。由此产生的外表面电位和拉普拉斯分布，然后计算在向前的意义。不同量的随机噪声被添加到这些分布之前，零阶Tikhonov正则化方案被用来恢复内表面电位分布。比较计算的和原始的内表面分布表明，外表面拉普拉斯算子的测量可以更准确地重建心外膜电位比外表面电位的测量。这些分布更精确，因为极值非常接近它们的原始位置，并且几乎具有相同的幅度。此外，多个极值和高电位梯度被恢复。
The eccentric spheres model of the heart-torso system is used to study the inverse problem of electrocardiography using measurements of the Laplacian of the body surface potential distribution. Electrical activity is simulated on the six main regions of the inner surface by considering a limited number of current dipoles placed within the inner sphere. The resulting outer surface potential and Laplacian distributions are then calculated in a forward sense. Varying amounts of random noise are added to these distributions before a zero-order Tikhonov regularization scheme is used to recover the inner surface potential distribution. Comparing the calculated and original inner surface distributions indicates that measurements of the outer surface Laplacian can more accurately reconstruct epicardial potentials than measurements of the outer surface potentials. These distributions are more accurate in that the extrema are placed very close to their original positions and are of nearly the same magnitude. Also, multiple extrema and high potential gradients are recovered.