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心肌电折返是引起心律失常的重要因素之一,它会导致心动过速(VT)乃至室颤(VF)的发生,从而引起心源性猝死。随着计算机仿真在定量电生理研究中的广泛应用,迫切需要建立三维心肌组织实验平台。本文就这种组织模型的数值解方法进行了研究。文中利用Luo-Rudy 1991心室肌细胞模型结合扩散方程形成三维组织模型,利用算子分裂法求其数值解。分别采用ADI格式和七点差分格式求解描述电扩布的偏微分方程,边界条件采用二阶精度的离散格式。实验结果表明,以上两种格式均可成功地解算出细胞膜电位的变化以及电兴奋的活动,且具有良好的稳定性。但ADI格式可较大幅度地缩短计算时间。因此ADI格式下增加时间步长以提高计算效率的方法更具优势。
Cardiac reentry is one of the important factors that cause arrhythmia. It leads to the occurrence of tachycardia (VT) and even ventricular fibrillation (VF), which causes sudden cardiac death. With the extensive application of computer simulation in quantitative electrophysiological studies, it is urgent to establish a three-dimensional myocardial tissue experimental platform. In this paper, we study the numerical solution of this organizational model. The paper uses Luo-Rudy 1991 ventricular myocyte model combined with diffusion equation to form a three-dimensional tissue model, the use of operator splitting method for numerical solution. The ADE format and the seven-point difference scheme are used to solve the PDEs describing the electrical expansion. The boundary conditions are discretized by the second-order accuracy. The experimental results show that the above two formats can successfully calculate the change of cell membrane potential and electrical excitement activity, and has good stability. However, the ADI format can greatly reduce the calculation time. Therefore, it is more advantageous to increase the time step in the ADI format to improve the computational efficiency.