Jang Jaeseong, Ahn Chi Young, Choi Jung-Il, Seo Jin Keun
Department of Computational Science and Engineering, Yonsei University, 50 Yonsei-ro, Seodaemun-gu, Seoul 03722, Republic of Korea.
Division of Integrated Mathematics, National Institute for Mathematical Sciences, 70 Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon 34047, Republic of Korea.
Comput Math Methods Med. 2016;2016:6371078. doi: 10.1155/2016/6371078. Epub 2016 May 22.
For the assessment of the left ventricle (LV), echocardiography has been widely used to visualize and quantify geometrical variations of LV. However, echocardiographic image itself is not sufficient to describe a swirling pattern which is a characteristic blood flow pattern inside LV without any treatment on the image. We propose a mathematical framework based on an inverse problem for three-dimensional (3D) LV blood flow reconstruction. The reconstruction model combines the incompressible Navier-Stokes equations with one-direction velocity component of the synthetic flow data (or color Doppler data) from the forward simulation (or measurement). Moreover, time-varying LV boundaries are extracted from the intensity data to determine boundary conditions of the reconstruction model. Forward simulations of intracardiac blood flow are performed using a fluid-structure interaction model in order to obtain synthetic flow data. The proposed model significantly reduces the local and global errors of the reconstructed flow fields. We demonstrate the feasibility and potential usefulness of the proposed reconstruction model in predicting dynamic swirling patterns inside the LV over a cardiac cycle.
对于左心室（LV）的评估，超声心动图已被广泛用于可视化和量化左心室的几何变化。然而，超声心动图图像本身不足以描述一种涡旋模式，这种涡旋模式是左心室内未经图像处理的特征性血流模式。我们提出了一个基于三维（3D）左心室血流重建反问题的数学框架。该重建模型将不可压缩的纳维 - 斯托克斯方程与来自正向模拟（或测量）的合成流数据（或彩色多普勒数据）的单向速度分量相结合。此外，从强度数据中提取随时间变化的左心室边界，以确定重建模型的边界条件。使用流固相互作用模型进行心内血流的正向模拟，以获得合成流数据。所提出的模型显著降低了重建流场的局部和全局误差。我们证明了所提出的重建模型在预测心动周期内左心室内动态涡旋模式方面的可行性和潜在实用性。
