An efficient finite element approach for modeling fibrotic clefts in the heart.
An efficient finite element approach for modeling fibrotic clefts in the heart.
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用于模拟心脏纤维化裂隙的有效有限元方法。
DOI：
10.1109/tbme.2013.2292320
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发表时间：
2014-03
期刊：
影响因子：
--
通讯作者：
Plank G
中科院分区：
文献类型：
--
作者：
Costa CM;Campos FO;Prassl AJ;dos Santos RW;Sánchez-Quintana D;Ahammer H;Hofer E;Plank G
先进的医学成像技术以细胞旁分辨率提供了大量关于心脏解剖和结构的信息，从而可以识别破坏细胞内基质的微观结构不连续性。目前的最先进的计算机模型建立在这样的数据集占越来越精细的解剖细节，然而，在细胞旁水平的结构不连续性通常被丢弃在模型生成过程中，由于显式表示使用高分辨率时产生的显着成本。在这项研究中，提出了一种新的不连续有限元（dFE）的方法来离散bidomain方程，它占在计算机模型中的细尺度结构，而不需要增加空间分辨率。在dFE方法中，这是通过沿着有限元的边缘施加无限细的电绝缘线来实现的，所述有限元近似于细胞内矩阵中的不连续性的几何形状。仿真结果表明，dFE方法占微观尺寸尺度的不连续性，如微观虚拟电极的形成引起的影响，与高分辨率连续有限元模型相比，具有巨大的计算节省。此外，该方法可以实现在任何标准的连续有限元代码与小的努力。
Advanced medical imaging technologies provide a wealth of information on cardiac anatomy and structure at a paracellular resolution, allowing to identify micro-structural discontinuities which disrupt the intracellular matrix. Current state-of-the-art computer models built upon such datasets account for increasingly finer anatomical details, however, structural discontinuities at the paracellular level are typically discarded in the model generation process, owing to the significant costs which incur when using high resolutions for explicit representation. In this study, a novel discontinuous finite element (dFE) approach for discretizing the bidomain equations is presented, which accounts for fine-scale structures in a computer model without the need to increase spatial resolution. In the dFE method this is achieved by imposing infinitely thin lines of electrical insulation along edges of finite elements which approximate the geometry of discontinuities in the intracellular matrix. Simulation results demonstrate that the dFE approach accounts for effects induced by microscopic size scale discontinuities, such as the formation of microscopic virtual electrodes, with vast computational savings as compared to high resolution continuous finite element models. Moreover, the method can be implemented in any standard continuous finite element code with minor effort.