@inproceedings{6c13ba334b26471597f7b8831467f133,
title = "On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis",
abstract = "Fibrotic tissue is one of the main risk factors for cardiac arrhythmias. It is therefore a key component in computational studies. In this work, we compare the monodomain equation to two eikonal models for cardiac electrophysiology in the presence of fibrosis. We show that discontinuities in the conductivity field, due to the presence of fibrosis, introduce a delay in the activation times. The monodomain equation and eikonal-diffusion model correctly capture these delays, contrarily to the classical eikonal equation. Importantly, a coarse space discretization of the monodomain equation amplifies these delays, even after accounting for numerical error in conduction velocity. The numerical discretization may also introduce artificial conduction blocks and hence increase propagation complexity. Therefore, some care is required when comparing eikonal models to the discretized monodomain equation.",
keywords = "Cardiac electrophysiology, Eikonal model, Eikonal-diffusion model, Fibrosis, Monodomain model",
author = "Lia Gander and Rolf Krause and Martin Weiser and {Sahli Costabal}, Francisco and Simone Pezzuto",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings ; Conference date: 19-06-2023 Through 22-06-2023",
year = "2023",
doi = "10.1007/978-3-031-35302-4_14",
language = "English (US)",
isbn = "9783031353017",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "137--146",
editor = "Olivier Bernard and Patrick Clarysse and Nicolas Duchateau and Jacques Ohayon and Magalie Viallon",
booktitle = "Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings",
address = "Germany",
}