Solving the coupled system improves computational efficiency of the bidomain equations.
Solving the coupled system improves computational efficiency of the bidomain equations.
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DOI：
10.1109/tbme.2009.2022548
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发表时间：
2009-10
期刊：
影响因子：
--
通讯作者：
Whiteley JP
中科院分区：
文献类型：
--
作者：
Southern JA;Plank G;Vigmond EJ;Whiteley JP
多域方程经常被用来模拟心脏组织中动作电位的传播。在整个器官水平上，所需计算网格的大小使其解决方案成为一个重大的计算挑战。由于数值解的准确性不能受到损害，求解技术的效率是重要的，以确保在合理的时间内获得仿真结果，同时仍然封装系统的复杂性。为了提高求解器的效率，通常将双域方程解耦成一个计算成本非常低的抛物方程和一个求解成本高得多的椭圆方程。在本研究中，将这种解耦方法的性能与将双域方程作为一个耦合系统求解的备选策略进行了比较。这似乎是违反直觉的，因为替代方法需要在每个时间步解一个大得多的线性系统。然而，在两个三维兔子心室基准测试中表明，耦合方法比传统的不耦合方法快80%，并且在较大的耦合问题上并行性能更好。
The bidomain equations are frequently used to model the propagation of cardiac action potentials across cardiac tissue. At the whole organ level the size of the computational mesh required makes their solution a significant computational challenge. As the accuracy of the numerical solution cannot be compromised, efficiency of the solution technique is important to ensure that the results of the simulation can be obtained in a reasonable time whilst still encapsulating the complexities of the system. In an attempt to increase efficiency of the solver, the bidomain equations are often decoupled into one parabolic equation that is computationally very cheap to solve and an elliptic equation that is much more expensive to solve. In this study the performance of this uncoupled solution method is compared with an alternative strategy in which the bidomain equations are solved as a coupled system. This seems counter-intuitive as the alternative method requires the solution of a much larger linear system at each time step. However, in tests on two 3-D rabbit ventricle benchmarks it is shown that the coupled method is up to 80% faster than the conventional uncoupled method — and that parallel performance is better for the larger coupled problem.