• Acta Physica Sinica
  • Vol. 68, Issue 17, 178702-1 (2019)
Wei-Wei Xu1、2, Ming-Zhu Bai1、2, Qiang Lin1、2, and Zheng-Hui Hu1、2、*
Author Affiliations
  • 1College of Science, Zhejiang University of Technology, Hangzhou 310023, China
  • 2Collaborative Innovation Center for Bio-Med Physics Information Technology, Zhejiang University of Technology, Hangzhou 310023, China
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    DOI: 10.7498/aps.68.20190387 Cite this Article
    Wei-Wei Xu, Ming-Zhu Bai, Qiang Lin, Zheng-Hui Hu. Magnetocardiogram forward problem based on personalized three-dimensional heart-torso model[J]. Acta Physica Sinica, 2019, 68(17): 178702-1 Copy Citation Text show less
    Image segmentation of MRI slices: (a) Heart; (b) torsoMRI切片的图像分割 (a) 心脏; (b) 躯干
    Fig. 1. Image segmentation of MRI slices: (a) Heart; (b) torsoMRI切片的图像分割 (a) 心脏; (b) 躯干
    Personalized three-dimensional heart-torso model.个性化心脏-躯干三维几何模型
    Fig. 2. Personalized three-dimensional heart-torso model.个性化心脏-躯干三维几何模型
    The second-order tetrahedral element with 10 nodes.二阶10节点四面体单元
    Fig. 3. The second-order tetrahedral element with 10 nodes.二阶10节点四面体单元
    Discretized three-dimensional heart-torso model: (a) 3D cardiac model; (b) heart-torso model.离散的心脏-躯干三维模型 (a) 心脏三维模型; (b) 心脏-躯干模型组合
    Fig. 4. Discretized three-dimensional heart-torso model: (a) 3D cardiac model; (b) heart-torso model.离散的心脏-躯干三维模型 (a) 心脏三维模型; (b) 心脏-躯干模型组合
    Evolution of excitation potential u at t = 20, 40, 60. Solid line: numerical solution of FHN equation. Dotted line: analytical solution of FHN equation.t = 20, 40, 60时, 激发电位u的变化 实线: FHN方程数值解; 虚线: FHN方程行波解
    Fig. 5. Evolution of excitation potential u at t = 20, 40, 60. Solid line: numerical solution of FHN equation. Dotted line: analytical solution of FHN equation. t = 20, 40, 60时, 激发电位u的变化 实线: FHN方程数值解; 虚线: FHN方程行波解
    TMP distribution of a cardiac cycle: (a), (b), (c) Depolarization process (t = 30, 60, 90); (d), (e), (f) repolarization process (t = 120, 150, 180).一个心动周期的TMP分布图 (a), (b), (c) 为去极化过程 (t = 30, 60, 90); (d), (e), (f)为复极化过程(t = 120, 150, 180)
    Fig. 6. TMP distribution of a cardiac cycle: (a), (b), (c) Depolarization process (t = 30, 60, 90); (d), (e), (f) repolarization process (t = 120, 150, 180). 一个心动周期的TMP分布图 (a), (b), (c) 为去极化过程 (t = 30, 60, 90); (d), (e), (f)为复极化过程(t = 120, 150, 180)
    TMP time evolution curve, solid line: right ventricular TMP; dashed line: left ventricular TMP.TMP随时间变化曲线 实线: 右心室TMP变化; 虚线: 左心室TMP变化
    Fig. 7. TMP time evolution curve, solid line: right ventricular TMP; dashed line: left ventricular TMP.TMP随时间变化曲线 实线: 右心室TMP变化; 虚线: 左心室TMP变化
    (a) Straight wire model; (b) distribution of magnetic field on the axial plane. Solid line: analytical solution; dotted line: numerical solution.(a) 直导线模型; (b)中轴面磁感应强度的分布, 实线: 解析解; 虚线: 数值解
    Fig. 8. (a) Straight wire model; (b) distribution of magnetic field on the axial plane. Solid line: analytical solution; dotted line: numerical solution.(a) 直导线模型; (b)中轴面磁感应强度的分布, 实线: 解析解; 虚线: 数值解
    Relative error distribution of magnetic field.磁场的相对误差分布
    Fig. 9. Relative error distribution of magnetic field.磁场的相对误差分布
    Extracorporeal magnetic field distribution: (a)−(h) Simulated cardiac magnetic distribution (t = 40, 60, 80, 100, 120, 140, 160, 180); (i) measured human MCG in the literature.体表外磁感应强度分布 (a)−(h) 模拟的心磁分布图(t = 40, 60, 80, 100, 120, 140, 160, 180);(i) 文献中的实测心磁图分布图[26]
    Fig. 10. Extracorporeal magnetic field distribution: (a)−(h) Simulated cardiac magnetic distribution (t = 40, 60, 80, 100, 120, 140, 160, 180); (i) measured human MCG in the literature. 体表外磁感应强度 分布 (a)−(h) 模拟的心磁分布图(t = 40, 60, 80, 100, 120, 140, 160, 180);(i) 文献中的实测心磁图分布图[26]
    时间t = 20 t = 40 t = 60
    RRMSE0.39%0.53%0.79%
    Table 1.

    Relative root mean squared error of FHN equation.

    FHN方程相对均方根误差RRMSE

    Wei-Wei Xu, Ming-Zhu Bai, Qiang Lin, Zheng-Hui Hu. Magnetocardiogram forward problem based on personalized three-dimensional heart-torso model[J]. Acta Physica Sinica, 2019, 68(17): 178702-1
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