A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network
| Autor: | Christian Vergara, Simone Palamara, Toni Lassila, Alejandro F. Frangi, Alfio Quarteroni, Matthias Lange |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics and Astronomy (miscellaneous)
Iterative method Purkinje fibers Computational electrocardiology 0206 medical engineering Pull and push effect 02 engineering and technology 030204 cardiovascular system & hematology Topology 03 medical and health sciences 0302 clinical medicine Convergence (routing) medicine Monodomain model Simulation Physics Numerical Analysis Eikonal equation Applied Mathematics Propagation delay Solver 020601 biomedical engineering Computer Science Applications Coupling (electronics) Computational Mathematics medicine.anatomical_structure Modeling and Simulation Monodomain equation |
| ISSN: | 1090-2716 0021-9991 |
| Popis: | We present a model for the electrophysiology in the heart to handle the electrical propagation through the Purkinje system and in the myocardium, with two-way coupling at the Purkinje-muscle junctions. In both the subproblems the monodomain model is considered, whereas at the junctions a resistor element is included that induces an orthodromic propagation delay from the Purkinje network towards the heart muscle. We prove a sufficient condition for convergence of a fixed-point iterative algorithm to the numerical solution of the coupled problem. Numerical comparison of activation patterns is made with two different combinations of models for the coupled Purkinje network/myocardium system, the eikonal/eikonal and the monodomain/monodomain models. Test cases are investigated for both physiological and pathological activation of a model left ventricle. Finally, we prove the reliability of the monodomain/monodomain coupling on a realistic scenario. Our results underlie the importance of using physiologically realistic Purkinje-trees with propagation solved using the monodomain model for simulating cardiac activation. (C) 2015 Elsevier Inc. All rights reserved. |
| Databáze: | OpenAIRE |
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