Physics-informed neural networks to learn cardiac fiber orientation from multiple electroanatomical maps

C Ruiz Herrera, T Grandits, G Plank… - Engineering with …, 2022 - Springer
We propose FiberNet, a method to estimate in-vivo the cardiac fiber architecture of the
human atria from multiple catheter recordings of the electrical activation. Cardiac fibers play …

[HTML][HTML] A Review of Personalised Cardiac Computational Modelling Using Electroanatomical Mapping Data

OA Jaffery, L Melki, G Slabaugh, WW Good… - Arrhythmia & …, 2024 - ncbi.nlm.nih.gov
Computational models of cardiac electrophysiology have gradually matured during the past
few decades and are now being personalised to provide patient-specific therapy guidance …

Digital twinning of cardiac electrophysiology models from the surface ECG: a geodesic backpropagation approach

T Grandits, J Verhülsdonk, G Haase… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
The eikonal equation has become an indispensable tool for modeling cardiac electrical
activation accurately and efficiently. In principle, by matching clinically recorded and eikonal …

A fast iterative method for solving the eikonal equation on tetrahedral domains

Z Fu, RM Kirby, RT Whitaker - SIAM Journal on Scientific Computing, 2013 - SIAM
Generating numerical solutions to the eikonal equation and its many variations has a broad
range of applications in both the natural and computational sciences. Efficient solvers on …

An inverse Eikonal method for identifying ventricular activation sequences from epicardial activation maps

T Grandits, K Gillette, A Neic, J Bayer… - Journal of computational …, 2020 - Elsevier
A key mechanism controlling cardiac function is the electrical activation sequence of the
heart's main pumping chambers termed the ventricles. As such, personalization of the …

Discrete geodesic graph (DGG) for computing geodesic distances on polyhedral surfaces

X Wang, Z Fang, J Wu, SQ Xin, Y He - Computer Aided Geometric Design, 2017 - Elsevier
We present a new graph-based method, called discrete geodesic graph (DGG), to compute
discrete geodesics in a divide-and-conquer manner. Let M be a manifold triangle mesh with …

PIEMAP: personalized inverse eikonal model from cardiac electro-anatomical maps

T Grandits, S Pezzuto, JM Lubrecht, T Pock… - … Workshop on Statistical …, 2020 - Springer
Electroanatomical mapping, a keystone diagnostic tool in cardiac electrophysiology studies,
can provide high-density maps of the local electric properties of the tissue. It is therefore …

Improved fast iterative method for higher calculation accuracy of traveltimes

W Cai, P Zhu, G Li - Computers & Geosciences, 2023 - Elsevier
Abstract Fast Iterative Method (FIM), a grid-based ray-tracing algorithm, has a computational
efficiency far exceeding that of conventional fast marching method (FMM) in serial …

GEASI: Geodesic‐based earliest activation sites identification in cardiac models

T Grandits, A Effland, T Pock, R Krause… - … journal for numerical …, 2021 - Wiley Online Library
The identification of the initial ventricular activation sequence is a critical step for the correct
personalization of patient‐specific cardiac models. In healthy conditions, the Purkinje …

Interface‐preserving level‐set reinitialization for DG‐FEM

T Utz, F Kummer, M Oberlack - International Journal for …, 2017 - Wiley Online Library
This paper presents a contribution to level‐set reinitialization in the context of discontinuous
Galerkin finite element methods. We focus on high‐order polynomials for the discretization …