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心电图的正问题与逆问题:人体心外膜电位的建模与恢复

Forward and inverse problems of electrocardiography: modeling and recovery of epicardial potentials in humans.

作者信息

Shahidi A V, Savard P, Nadeau R

机构信息

Institute of Biomedical Engineering, Ecole Polytechnique, Montreal, Quebec, Canada.

出版信息

IEEE Trans Biomed Eng. 1994 Mar;41(3):249-56. doi: 10.1109/10.284943.

Abstract

To assess the accuracy of solutions to the inverse problem of electrocardiography in man, epicardial potentials computed from thoracic potential distributions were compared to potentials measured directly over the surface of the heart during arrhythmia surgery. Three-dimensional finite element models of the thorax with different mesh resolutions and conductivity inhomogeneities were constructed from serial computerized tomography scans of a patient. These torso models were used to compute transfer matrices relating the epicardial potentials to the thoracic potentials. Potential distributions over the torso and the ventricles were measured with 63 leads in the same patient whose anatomical data was used to construct the torso models. To solve the inverse problem, different methods based on Tykhonov regularization or regularization- truncation were applied. The recovered epicardial potential distributions closely resembled the epicardial potential distributions measured early during ventricular preexcitation, but not the more complex distributions measured later during the QRS complex. Several problems encountered as the validation process is applied in man are also discussed.

摘要

为评估人体心电图逆问题解决方案的准确性,将根据胸电位分布计算出的心外膜电位与心律失常手术期间在心脏表面直接测量的电位进行了比较。利用患者的计算机断层扫描序列构建了具有不同网格分辨率和电导率不均匀性的胸部三维有限元模型。这些躯干模型用于计算将心外膜电位与胸电位相关联的传递矩阵。在同一患者身上用63导联测量了躯干和心室上的电位分布,该患者的解剖数据用于构建躯干模型。为解决逆问题,应用了基于蒂霍诺夫正则化或正则化截断的不同方法。恢复的心外膜电位分布与心室预激早期测量的心外膜电位分布非常相似,但与QRS波群后期测量的更复杂分布不同。还讨论了在人体应用验证过程中遇到的几个问题。

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