4.5 Article

A meshless fragile points method for the solution of the monodomain model for cardiac electrophysiology simulation

期刊

JOURNAL OF COMPUTATIONAL SCIENCE
卷 65, 期 -, 页码 -

出版社

ELSEVIER
DOI: 10.1016/j.jocs.2022.101880

关键词

Meshless; Fragile points method; FPM; Cardiac electrophysiology; Monodomain model

资金

  1. MCIN/AEI (Spain) [PID2019-105674RB-I00]
  2. European Research Council [ERC-StG 638284]
  3. European Union [874827]
  4. European Social Fund (EU)
  5. Aragon Government [LMP94_21]
  6. BSICoS group [T39_20R]

向作者/读者索取更多资源

Meshless methods are becoming popular for simulating cardiac electrophysiology without the need for a mesh. The Fragile Points Method (FPM) is introduced as a new meshless method that allows for accurate integration and improved efficiency, while enabling the imposition of essential boundary conditions.
Meshless methods for in silico modeling and simulation of cardiac electrophysiology are gaining more and more popularity. These methods do not require a mesh and are more suitable than the Finite Element Method (FEM) to simulate the activity of complex geometrical structures like the human heart. However, challenges such as numerical integration accuracy and time efficiency remain, which limit their applicability. Recently, the Fragile Points Method (FPM) has been introduced in the meshless methods family. It uses local, simple, polynomial, discontinuous functions to construct trial and test functions in the Galerkin weak form. This allows for accurate integration and improved efficiency while enabling the imposition of essential and natural boundary conditions as in FEM. In this work, we consider the application of FPM for cardiac electrophysiology simulation. We derive the cardiac monodomain model using the FPM formulation and we solve several benchmark problems in 2D and 3D. We show that FPM leads to solutions of accuracy and efficiency similar to FEM while alleviating the need for a mesh. Additionally, FPM demonstrates comparable convergence to FEM in the considered benchmarks.

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