A three-dimensional finite element model of human atrial anatomy: new methods for cubic Hermite meshes with extraordinary vertices.
A three-dimensional finite element model of human atrial anatomy: new methods for cubic Hermite meshes with extraordinary vertices.
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DOI：
10.1016/j.media.2013.03.005
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发表时间：
2013-07
影响因子：
10.9
通讯作者：
McCulloch, Andrew D.
中科院分区：
文献类型：
--
作者：
Gonzales, Matthew J.;Sturgeon, Gregory;Krishnamurthy, Adarsh;Hake, Johan;Jonas, Rene;Stark, Paul;Rappel, Wouter-Jan;Narayan, Sanjiv M.;Zhang, Yongjie;Segars, W. Paul;McCulloch, Andrew D.
高阶三次 Hermite 有限元在心脏几何形状、纤维取向、生物力学和电生理学建模方面非常有价值，但它们在解决三维问题中的用途仅限于具有简单拓扑的心室模型。在这里，我们利用细分曲面方案并推导出三次 Hermite 有限元的“局部到全局”导数映射方案的推广，以从心房颤动患者的计算机断层扫描图像中构建具有非凡顶点的人类心房的双三次和三三次 Hermite 模型。以 0.6 毫米的精度，我们能够仅使用 142 个双三次 Hermite 有限元来捕获左心房几何形状，仅使用 90 个双三次 Hermite 有限元来捕获右心房几何形状。左心房和右心房双三次 Hermite 网格在除异常顶点的单邻域之外的各处都是 G1 连续的，其中相邻元素法线的平均点积分别为 0.928 和 0.925。我们还构建了两个双房三立方 Hermite 模型，并仅使用 42 个角度参数定义了与文献中的图表数据一致的纤维取向场。这些网格都具有良好的质量指标、统一的元素大小以及长宽比接近统一的元素，并且与公众共享。这些新方法将允许建立更紧凑、更有效的针对特定患者的人类心房和整个心脏生理学模型。
High-order cubic Hermite finite elements have been valuable in modeling cardiac geometry, fiber orientations, biomechanics, and electrophysiology, but their use in solving three-dimensional problems has been limited to ventricular models with simple topologies. Here, we utilized a subdivision surface scheme and derived a generalization of the “local-to-global” derivative mapping scheme of cubic Hermite finite elements to construct bicubic and tricubic Hermite models of the human atria with extraordinary vertices from computed tomography images of a patient with atrial fibrillation. To an accuracy of 0.6 millimeters, we were able to capture the left atrial geometry with only 142 bicubic Hermite finite elements, and the right atrial geometry with only 90. The left and right atrial bicubic Hermite meshes were G1 continuous everywhere except in the one-neighborhood of extraordinary vertices, where the mean dot products of normals at adjacent elements were 0.928 and 0.925. We also constructed two biatrial tricubic Hermite models and defined fiber orientation fields in agreement with diagrammatic data from the literature using only 42 angle parameters. The meshes all have good quality metrics, uniform element sizes, and elements with aspect ratios near unity, and are shared with the public. These new methods will allow for more compact and efficient patient-specific models of human atrial and whole heart physiology.
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影响因子：
20.1
作者：
Ashihara T;Haraguchi R;Nakazawa K;Namba T;Ikeda T;Nakazawa Y;Ozawa T;Ito M;Horie M;Trayanova NA
通讯作者：
Trayanova NA
影响因子：
5.7
作者：
Ho, SY;Cabrera, JA;Sánchez-Quintana, D
通讯作者：
Sánchez-Quintana, D
影响因子：
4.1
作者：
Bazilevs, Y.;Calo, V. M.;Hughes, T. J. R.
通讯作者：
Hughes, T. J. R.
影响因子：
4.6
作者：
Bayly, PV;KenKnight, BH;Smith, WM
通讯作者：
Smith, WM
影响因子：
3.5
作者：
Fernandez, J. W.;Mithraratne, P.;Hunter, P. J.
通讯作者：
Hunter, P. J.