American University of Sharjah, Department of Mathematics, Sharjah, United Arab Emirates.
American University of Sharjah, Department of Mathematics, Sharjah, United Arab Emirates.
Comput Biol Med. 2021 Mar;130:104187. doi: 10.1016/j.compbiomed.2020.104187. Epub 2020 Dec 23.
It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating direction implicit (ADI) schemes to efficiently solve the nonlinear cardiac monodomain model. The main objective of the proposed methods is to reduce the computational time and memory consumed for solving electrocardiology models, compared to standard numerical methods. The proposed methods have second-order accuracy in both space and time while evaluating the ionic model only once per time-step. Several examples using regular wave, spiral wave reentry, and nonsymmetrical scroll wave are conducted, and the efficiency of the proposed ADI methods is compared to the standard semi-implicit Crank-Nicolson/Adams-Bashforth method. Large-scale two- and three-dimensional simulations are performed.
众所周知，心脏单域模型的数值模拟需要精细的网格分辨率，这会增加所需的计算资源。在本文中，我们构建了三个算子分裂交替方向隐式（ADI）方案，以有效地求解非线性心脏单域模型。与标准数值方法相比，所提出方法的主要目的是减少解决电生理学模型所需的计算时间和内存消耗。所提出的方法在空间和时间上具有二阶精度，并且在每个时间步仅评估离子模型一次。使用规则波、螺旋波折返和非对称涡旋波进行了几个示例，并且将所提出的 ADI 方法的效率与标准半隐式 Crank-Nicolson/Adams-Bashforth 方法进行了比较。进行了大规模的二维和三维模拟。
