A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network

Christian Vergara, Matthias Lange, Simone Palamara, Toni Lassila, Alejandro F. Frangi, Alfio Quarteroni

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)218-238
Number of pages21
JournalJournal of Computational Physics
Volume308
Early online date21 Dec 2015
DOIs
Publication statusPublished - 1 Mar 2016

Keywords

  • computational electrocardiology
  • Monodomain equation
  • pull and push effect
  • Purkinje fibers

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