We present the meshfree Mixed Collocation Method (MCM) to solve the monodomain model for numerical simulation of cardiac electrophysiology. We apply MCM to simulate cardiac electrical propagation in 2D tissue sheets and 3D tissue slabs as well as in realistic large-scale biventricular anatomies. Capitalizing on the meshfree property of MCM, we introduce an immersed grid approach for automated generation of nodes in the modeled cardiac domains. We demonstrate that MCM solutions are in agreement with FEM solutions, thus confirming their suitability for simulation of cardiac electrophysiology both in healthy and disease conditions, such as left-bundle-branch block (LBBB) and myocardial infarction. Despite the fact that the computational time for MCM calculations is longer than for FEM, its efficiency in dealing with domains presenting irregularity, nonlinearity and discontinuity make MCM a promising alternative for heart's electrical investigations.

翻译：我们展示了无网状混合定位法(MCM),以解决心脏电子生理数字模拟的单体模型(MMC),我们将MC应用于2D组织板和3D组织板的模拟心脏电子传播以及现实的大型双形解剖。利用MC的无网状特性,我们引入了在模拟心脏区域自动生成节点的隐蔽网格方法。我们证明MCM解决方案与FEM解决方案一致,从而证实它们适合在健康和疾病条件下模拟心脏电子生理学,如左宽边板块和心肌畸形。尽管计算MCM的计算时间比FEM长,但它在处理呈现不规则、非线性和不连续性的领域的效率使MCM成为心脏电子调查的一个很有希望的替代方法。