Perotti L E, Krishnamoorthi S, Borgstrom N P, Ennis D B, Klug W S
Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA, USA.
Department of Bioengineering, University of California, Los Angeles, CA, USA.
Int J Numer Method Biomed Eng. 2015 Aug;31(8). doi: 10.1002/cnm.2718. Epub 2015 Apr 28.
The electrocardiogram (ECG) is one of the most significant outputs of a computational model of cardiac electrophysiology because it relates the numerical results to clinical data and is a universal tool for diagnosing heart diseases. One key features of the ECG is the T-wave, which is caused by longitudinal and transmural heterogeneity of the action potential duration (APD). Thus, in order to model a correct wave of repolarization, different cell properties resulting in different APDs must be assigned across the ventricular wall and longitudinally from apex to base. To achieve this requirement, a regional parametrization of the heart is necessary. We propose a robust approach to obtain the transmural and longitudinal segmentation in a general heart geometry without relying on ad hoc procedures. Our approach is based on auxiliary harmonic lifting analyses, already used in the literature to generate myocardial fiber orientations. Specifically, the solution of a sequence of Laplace boundary value problems allows parametrically controlled segmentation of both heart ventricles. The flexibility and simplicity of the proposed method is demonstrated through several representative examples, varying the locations and extents of the epicardial, midwall, and endocardial layers. Effects of the control parameters on the T-wave morphology are illustrated via computed ECGs.
心电图(ECG)是心脏电生理计算模型最重要的输出之一,因为它将数值结果与临床数据相关联,并且是诊断心脏病的通用工具。心电图的一个关键特征是T波,它是由动作电位持续时间(APD)的纵向和透壁异质性引起的。因此,为了模拟正确的复极波,必须在整个心室壁上以及从心尖到心底纵向分配导致不同APD的不同细胞特性。为了满足这一要求,需要对心脏进行区域参数化。我们提出了一种稳健的方法,无需依赖特殊程序即可在一般心脏几何形状中获得透壁和纵向分割。我们的方法基于辅助谐波提升分析,该分析已在文献中用于生成心肌纤维方向。具体而言,一系列拉普拉斯边值问题的解允许对两个心室进行参数控制分割。通过几个代表性示例展示了所提出方法的灵活性和简单性,这些示例改变了心外膜、中层和心内膜层的位置和范围。通过计算心电图说明了控制参数对T波形态的影响。