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Optimized Semi-implicit Methods for Modeling Cardiac Propagation

机译:优化的半隐式心脏传播模型

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Computer simulation of cardiac electrophysiology is now considered a powerful tool for exploring the causes of cardiac arrhythmias Cardiac electric propagation has been studied using the monodomain model to describe wave propagation of action potential in the heart. The governing nonlinear reaction-diffusion partial differential equation is solved with the semi-implicit (implicit-explicit) method that does not have the stability limit of the explicit time-stepping scheme. Both first order and second order semi-implicit techniques for temporal discretization are considered in this paper. Second order finite difference technique is used to discretize the spatial derivatives. An explicit finite difference scheme with 512X512 nodes and 0.1 us time step is used as the benchmark for error calculation. APPSPACK, a parallel pattern search optimization software, is used to obtain the optimal semi-implicit parameters that give the lowest root-meansquare error. Results are presented for the semi-implicit techniques with or without the operator split or protective zone method. They demonstrate that the optimized second order semi-implicit method gives the best overall performance.
机译:如今,心脏电生理的计算机模拟被认为是探索心律不齐的原因的有力工具。已经使用单域模型描述了心脏中动作电位的波传播,研究了心脏电传播。用不具有明确时间步长方案稳定性极限的半隐式(隐式-显式)方法求解控制非线性反应扩散的偏微分方程。本文考虑了用于时间离散化的一阶和二阶半隐式技术。二阶有限差分技术用于离散化空间导数。具有512X512节点和0.1 us时间步长的显式有限差分方案用作误差计算的基准。 APPSPACK是并行模式搜索优化软件,用于获取给出最小均方根误差的最佳半隐式参数。给出了使用或不使用操作员拆分或保护区方法的半隐式技术的结果。他们证明,优化的二阶半隐式方法可提供最佳的整体性能。

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