Cábelka S, Kittnar O, Novotný J, Marsík F, Slavícek J
Institute of Physiology, 1st Medical Faculty, Charles University, Prag.
Bratisl Lek Listy. 1996 Sep;97(9):550-2.
This study analyses forward problem of electrocardiology. Premature beats originated from subepicardial layer of myocardium were simulated in order to analyse their shape dependence on the site of origin. The equation governing the propagation of the electrical wave through human thorax together with transition and boundary conditions is derived under the clearly stated simplifying assumptions. The weak formulation of the forward problem of electrocardiology is introduced, too. The Galerkin method as a convenient tool for looking for the numerical solution is mentioned and its practical implementation--finite element method--then used in order to obtain numerical results. The obtained results were presented in the form of isopotential maps and compared with actually measured body surface isopotential maps of the depolarization phase. The parameters of the model were then optimalized in accordance with the measured data. In spite of the lack of quantitative data the model has proved that the presented method was able to be used for the simulation studies of ventricular ectopic beats. It was shown that only a small difference between the site of beat origin can be well distinguished on the simulated body surface maps. (Fig. 3, Ref. 3.)
本研究分析了心电学的正向问题。模拟了起源于心肌心外膜下层的早搏,以分析其形态与起源部位的关系。在明确阐述的简化假设下,推导了支配电波在人体胸部传播的方程以及过渡条件和边界条件。还介绍了心电学正向问题的弱形式。提到了伽辽金方法作为寻找数值解的便捷工具,并采用其实际实现形式——有限元方法来获得数值结果。所得结果以等电位图的形式呈现,并与实际测量的去极化期体表等电位图进行比较。然后根据测量数据对模型参数进行优化。尽管缺乏定量数据,但该模型已证明所提出的方法可用于室性早搏的模拟研究。结果表明,在模拟的体表图上,早搏起源部位的微小差异也能得到很好的区分。(图3,参考文献3。)