Accelerating Simulations of Cardiac Arrhythmias through Robust Numerical Techniques and Parallel Computing

• Guilherme M. Couto UFJF
• Noemi Z. Monteiro UFJF
• Rodrigo W. dos Santos UFJF

DOI: https://doi.org/10.5753/sbcas_estendido.2023.230166

Resumo

This paper explores how numerical methods and parallel computing can be used to accelerate simulations of cardiac arrhythmia. The simulations are based on the monodomain cardiac model, governed by a set of partial differential equations (PDEs). The new software could accurately reproduce various types of arrhythmia, such as spiral waves and reentry, by solving the PDEs using an Alternating Direction Implicit (ADI) fractional splitting method. Parallel programming via OpenMP led to a significant reduction in computation time, making the simulations feasible for practical applications.

Referências

Douglas, J. (1962). Alternating direction methods for three space variables. Numerische Mathematik, 4(1):41–63.

Lapidus, L. and Pinder, G. F. (1999). Numerical solution of partial differential equations in science and engineering. John Wiley & Sons.

Niederer, S. A. et al. (2011). Verification of cardiac tissue electrophysiology simulators using an n-version benchmark. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369(1954):4331–4351.

OpenMP (2012-2023). OpenMP Homepage. Last accessed 10 Apr 2023.

Sachetto Oliveira, R., Martins Rocha, B., Burgarelli, D., Meira Jr, W., Constantinides, C., and Weber dos Santos, R. (2018). Performance evaluation of GPU parallelization, space-time adaptive algorithms, and their combination for simulating cardiac electrophysiology. International journal for numerical methods in biomedical engineering, 34(2):e2913.

Strikwerda, J. C. (2004). Finite difference schemes and partial differential equations. SIAM.

Ten Tusscher, K. H. and Panfilov, A. V. (2006). Alternans and spiral breakup in a human ventricular tissue model. American Journal of Physiology-Heart and Circulatory Physiology, 291(3):H1088–H1100.

Tsao, C. W. et al. (2022). Heart disease and stroke statistics—2022 update: a report from the American Heart Association. Circulation, 145(8):e153–e639.

Weiss, J. N., Chen, P.-S., Qu, Z., Karagueuzian, H. S., Lin, S.-F., and Garfinkel, A. (2002). Electrical restitution and cardiac fibrillation. Journal of cardiovascular electrophysiology, 13(3):292–295.