A coupled monodomain solver with optimal memory usage for the simulation of cardiac wave propagation

作者:

Highlights:

• The focus on the development of the memory efficient and robust numerical techniques to solve the monodomain model.

• Strategy is to exploits the sparsity of local matrices in the global FEM matrices and hence features optimal usage of memory.

• It evidently shows that the storage requirement of CTSM approach is much lower and the CPU times are optimal.

• We demonstrate the practicability of our coupled approach by employing three popular physiological cell models.

• Our numerical studies strongly suggest the usage of the coupled approach for the simulation of pathological scenarios.

摘要

•The focus on the development of the memory efficient and robust numerical techniques to solve the monodomain model.•Strategy is to exploits the sparsity of local matrices in the global FEM matrices and hence features optimal usage of memory.•It evidently shows that the storage requirement of CTSM approach is much lower and the CPU times are optimal.•We demonstrate the practicability of our coupled approach by employing three popular physiological cell models.•Our numerical studies strongly suggest the usage of the coupled approach for the simulation of pathological scenarios.

论文关键词:Monodomain model,Physiological ionic models,Compile-time sparse matrix,FEM,Adaptive Runge-Kutta methods,Reentry,Parallel computing

论文评审过程:Received 21 October 2019, Revised 14 February 2020, Accepted 7 March 2020, Available online 31 March 2020, Version of Record 31 March 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125212