Solvers for the cardiac bidomain equations.
Solvers for the cardiac bidomain equations.
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DOI：
10.1016/j.pbiomolbio.2007.07.012
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发表时间：
2008-01
影响因子：
3.8
通讯作者：
Plank G
中科院分区：
文献类型：
--
作者：
Vigmond EJ;Weber dos Santos R;Prassl AJ;Deo M;Plank G
双域方程广泛用于模拟心脏组织的电活动。它们对于准确模拟细胞外刺激尤其重要，正如它们在实验验证之前对虚拟电极极化的预测所证明的那样。然而，由于需要精细的空间和时间离散化，方程的求解在计算上是昂贵的。这限制了可建模问题的规模和持续时间。无论它们采用何种具体形式，计算瓶颈都成为大型线性系统的重复解决方案。本综述的目的是概述方程及其求解方法。特别值得注意的是多重网格方法的最新发展，它已被证明是最有效的。
The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modelling extracellular stimulation, as evidenced by their prediction of virtual electrode polarization before experimental verification. However, solution of the equations is computationally expensive due to the fine spatial and temporal discretization needed. This limits the size and duration of the problem which can be modeled. Regardless of the specific form into which they are cast, the computational bottleneck becomes the repeated solution of a large, linear system. The purpose of this review is to give an overview of the equations, and the methods by which they have been solved. Of particular note are recent developments in multigrid methods, which have proven to be the most efficient.
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影响因子：
3.1
作者：
Haase, G;Reitzinger, S
通讯作者：
Reitzinger, S
影响因子：
3.1
作者：
Chartier, T;Falgout, RD;Vassilevski, PS
通讯作者：
Vassilevski, PS
影响因子：
4.6
作者：
Jacquemet, V;Henriquez, CS
通讯作者：
Henriquez, CS
影响因子：
37.8
作者：
Hund, TJ;Rudy, Y
通讯作者：
Rudy, Y
DOI：
10.1142/s0218202504003489
发表时间：
2004-06-01
影响因子：
3.5
作者：
Colli-Franzone, P;Pavarino, LF
通讯作者：
Pavarino, LF