Zhang Heye, Shi Pengcheng
Department of Electrical and Electronic Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong.
Conf Proc IEEE Eng Med Biol Soc. 2005;2006:349-52. doi: 10.1109/IEMBS.2005.1616416.
We present a novel numerical scheme to accurately and efficiently simulate the spatiotemporal electrical propagation for three dimensional heart model. A meshfree particle representation of myocardial volume is first developed, upon which the electrical propagation can be obtained using the element-free Galerkin (EFG) method for the FitzHugh-Nagumo model. This method is based on a sufficient amount of sampling nodes of the three-dimensional myocardial volume, but without the needs to construct the often expensive and complicated mesh structure between these nodes. Compared to the traditional finite element method, this new approach provides a more efficient numerical method to model the effects of the myocardial geometrical complexity and material inhomogeneity/anisotropicness. Experiments on synthetic and real heart geometries with uniform and nonuniform diffuse materials are presented. Related implementation issues are also discussed.
我们提出了一种新颖的数值方案，用于准确且高效地模拟三维心脏模型的时空电传播。首先开发了心肌体积的无网格粒子表示法，在此基础上，可使用针对FitzHugh-Nagumo模型的无单元伽辽金（EFG）方法获得电传播。该方法基于三维心肌体积的大量采样节点，但无需在这些节点之间构建通常昂贵且复杂的网格结构。与传统有限元方法相比，这种新方法为模拟心肌几何复杂性和材料非均匀性/各向异性的影响提供了一种更高效的数值方法。给出了在具有均匀和非均匀扩散材料的合成和真实心脏几何形状上的实验。还讨论了相关的实现问题。
