On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis

Lia Gander; Rolf Krause; Martin Weiser; Francisco Sahli Costabal; Simone Pezzuto

doi:10.1007/978-3-031-35302-4_14

On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis

Lia Gander^*, Rolf Krause, Martin Weiser, Francisco Sahli Costabal, Simone Pezzuto

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

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.

Original language	English (US)
Title of host publication	Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings
Editors	Olivier Bernard, Patrick Clarysse, Nicolas Duchateau, Jacques Ohayon, Magalie Viallon
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	137-146
Number of pages	10
ISBN (Print)	9783031353017
DOIs	https://doi.org/10.1007/978-3-031-35302-4_14
State	Published - 2023
Event	Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings - Lyon, France Duration: Jun 19 2023 → Jun 22 2023

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	13958 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings
Country/Territory	France
City	Lyon
Period	06/19/23 → 06/22/23

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Cardiac electrophysiology
Eikonal model
Eikonal-diffusion model
Fibrosis
Monodomain model

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-031-35302-4_14

Cite this

Gander, L., Krause, R., Weiser, M., Sahli Costabal, F., & Pezzuto, S. (2023). On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis. In O. Bernard, P. Clarysse, N. Duchateau, J. Ohayon, & M. Viallon (Eds.), Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings (pp. 137-146). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13958 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-35302-4_14

Gander, Lia ; Krause, Rolf ; Weiser, Martin et al. / On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis. Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings. editor / Olivier Bernard ; Patrick Clarysse ; Nicolas Duchateau ; Jacques Ohayon ; Magalie Viallon. Springer Science and Business Media Deutschland GmbH, 2023. pp. 137-146 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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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.",

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Gander, L, Krause, R, Weiser, M, Sahli Costabal, F & Pezzuto, S 2023, On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis. in O Bernard, P Clarysse, N Duchateau, J Ohayon & M Viallon (eds), Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13958 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 137-146, Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings, Lyon, France, 06/19/23. https://doi.org/10.1007/978-3-031-35302-4_14

On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis. / Gander, Lia; Krause, Rolf; Weiser, Martin et al.
Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings. ed. / Olivier Bernard; Patrick Clarysse; Nicolas Duchateau; Jacques Ohayon; Magalie Viallon. Springer Science and Business Media Deutschland GmbH, 2023. p. 137-146 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13958 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Gander L, Krause R, Weiser M, Sahli Costabal F, Pezzuto S. On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis. In Bernard O, Clarysse P, Duchateau N, Ohayon J, Viallon M, editors, Functional Imaging and Modeling of the Heart - 12th International Conference, FIMH 2023, Proceedings. Springer Science and Business Media Deutschland GmbH. 2023. p. 137-146. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-35302-4_14