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Accelerating the Simulations of Cardiac Arrhythmia with a Second-Order Numerical Method and High-Performance Computing

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Computational Science and Its Applications – ICCSA 2023 Workshops (ICCSA 2023)

Abstract

Cardiac arrhythmia is a complex and potentially fatal condition affecting millions worldwide. Computational simulations are an essential tool for understanding the mechanisms of arrhythmia and developing new treatments. However, simulating arrhythmia with high accuracy can be computationally demanding. This paper presents a second-order numerical method for simulating arrhythmia that is parallelized using OpenMP. We demonstrate the effectiveness of our method by simulating arrhythmia in a two-dimensional cardiac tissue domain. Our results show that our method is more efficient than classical methods, with significant reductions in execution times and numerical errors. Additionally, we investigate the vulnerable window, a critical period during which the heart is most susceptible to arrhythmia, and show how the new method improves the computation of this metric. In summary, our novel second-order numerical method, parallelized using OpenMP, has demonstrated significant improvements in the efficiency of simulating cardiac arrhythmia. By providing faster and more accurate simulations, this work has the potential to accelerate research and aid in the development of new treatments for this complex condition.

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Acknowledgements

This work has been supported by Universidade Federal de Juiz de Fora (UFJF), by a scholarship from Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) - Brazil - Finance Code 001. This research was funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) e Empresa Brasileira de Serviços Hospitalares (Ebserh) grant numbers 423278/2021-5, 310722/2021-7, and 315267/2020-8; by Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) - Brazil.

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Correspondence to Guilherme Martins Couto .

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Couto, G.M., Monteiro, N.Z., Rocha, B.M., dos Santos, R.W. (2023). Accelerating the Simulations of Cardiac Arrhythmia with a Second-Order Numerical Method and High-Performance Computing. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2023 Workshops. ICCSA 2023. Lecture Notes in Computer Science, vol 14112. Springer, Cham. https://doi.org/10.1007/978-3-031-37129-5_9

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  • DOI: https://doi.org/10.1007/978-3-031-37129-5_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-37128-8

  • Online ISBN: 978-3-031-37129-5

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