Landajuela Mikel, Vergara Christian, Gerbi Antonello, Dedè Luca, Formaggia Luca, Quarteroni Alfio
MOX, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, Milan, 20133, Italy.
Chair of Modelling and Scientific Computing, Institute of Mathematics, École Polytechnique Fédérale de Lausanne, Route Cantonale, Lausanne, CH-1015, Switzerland.
Int J Numer Method Biomed Eng. 2018 Jul;34(7):e2984. doi: 10.1002/cnm.2984. Epub 2018 May 16.
In this work, we consider the numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network. The mathematical model couples the 3D elastodynamics and bidomain equations for the electrophysiology in the myocardium with the 1D monodomain equation in the Purkinje network. For the numerical solution of the coupled problem, we consider a fixed-point iterative algorithm that enables a partitioned solution of the myocardium and Purkinje network problems. Different levels of myocardium-Purkinje network splitting are considered and analyzed. The results are compared with those obtained using standard strategies proposed in the literature to trigger the electrical activation. Finally, we present a numerical study that, although performed in an idealized computational domain, features all the physiological issues that characterize a heartbeat simulation, including the initiation of the signal in the Purkinje network and the systolic and diastolic phases.
在这项工作中，我们考虑包含浦肯野网络的左心室机电耦合的数值逼近。数学模型将心肌中电生理学的三维弹性动力学和双域方程与浦肯野网络中的一维单域方程耦合起来。对于耦合问题的数值解，我们考虑一种定点迭代算法，该算法能够对心肌和浦肯野网络问题进行分区求解。考虑并分析了不同程度的心肌 - 浦肯野网络分裂情况。将结果与文献中提出的用于触发电激活的标准策略所获得的结果进行比较。最后，我们给出一项数值研究，尽管该研究是在理想化的计算域中进行的，但它具有心跳模拟所特有的所有生理问题，包括浦肯野网络中信号的起始以及收缩期和舒张期。
