Efficient identification of scars using heterogeneous model hierarchies
| Autor: | Rolf Krause, Fatemeh Chegini, Martin Weiser, Alena Kopaničáková |
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| Rok vydání: | 2020 |
| Předmět: |
Optimization problem
010103 numerical & computational mathematics 030204 cardiovascular system & hematology 01 natural sciences Regularization (mathematics) 03 medical and health sciences Cicatrix 0302 clinical medicine Physiology (medical) Medicine Humans Computer Simulation 0101 mathematics Monodomain model Estimation theory Eikonal equation business.industry Myocardium Models Cardiovascular Inverse problem Solver Data mapping Cardiology and Cardiovascular Medicine business Algorithm Endocardium |
| Zdroj: | Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology. 23(23 Suppl 1) |
| ISSN: | 1532-2092 |
| Popis: | Aims Detection and quantification of myocardial scars are helpful for diagnosis of heart diseases and for personalized simulation models. Scar tissue is generally characterized by a different conduction of excitation. We aim at estimating conductivity-related parameters from endocardial mapping data. Solving this inverse problem requires computationally expensive monodomain simulations on fine discretizations. We aim at accelerating the estimation by combining electrophysiology models of different complexity. Methods and results Distributed parameter estimation is performed by minimizing the misfit between simulated and measured electrical activity on the endocardial surface, subject to the monodomain model and regularization. We formulate this optimization problem, including the modelling of scar tissue and different regularizations, and design an efficient solver. We consider grid hierarchies and monodomain–eikonal model hierarchies in a recursive multilevel trust-region method. With numerical examples, efficiency and estimation quality, depending on the data, are investigated. The multilevel solver is significantly faster than a comparable single level solver. Endocardial mapping data of realistic density appears to be sufficient to provide quantitatively reasonable estimates of location, size, and shape of scars close to the endocardial surface. Conclusion In several situations, scar reconstruction based on eikonal and monodomain models differ significantly, suggesting the use of the more involved monodomain model for this purpose. Eikonal models can accelerate the computations considerably, enabling the use of complex electrophysiology models for estimating myocardial scars from endocardial mapping data. |
| Databáze: | OpenAIRE |
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