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.

On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis / Gander, Lia; Krause, Rolf; Weiser, Martin; Sahli Costabal, Francisco; Pezzuto, Simone. - 13958:(2023), pp. 137-146. (Intervento presentato al convegno 12th International Conference, FIMH 2023 tenutosi a Lyon, France nel 19th-22nd June 2023) [10.1007/978-3-031-35302-4_14].

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

Pezzuto, Simone
2023-01-01

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.
2023
Functional Imaging and Modeling of the Heart
Cham
Springer
978-3-031-35301-7
978-3-031-35302-4
Gander, Lia; Krause, Rolf; Weiser, Martin; Sahli Costabal, Francisco; Pezzuto, Simone
On the Accuracy of Eikonal Approximations in Cardiac Electrophysiology in the Presence of Fibrosis / Gander, Lia; Krause, Rolf; Weiser, Martin; Sahli Costabal, Francisco; Pezzuto, Simone. - 13958:(2023), pp. 137-146. (Intervento presentato al convegno 12th International Conference, FIMH 2023 tenutosi a Lyon, France nel 19th-22nd June 2023) [10.1007/978-3-031-35302-4_14].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/382849
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