Paper Info
Title
A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network.
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.
Year
DOI
Venue
2016
10.1016/j.jcp.2015.12.016
Journal of Computational Physics
Keywords
Field
DocType
Computational electrocardiology,Purkinje fibers,Monodomain equation,Pull and push effect
Convergence (routing),Topology,Coupling,Purkinje fibers,Propagation delay,Monodomain model,Iterative method,Mathematical analysis,Simulation,Eikonal equation,Solver,Mathematics
Journal
Volume
Issue
ISSN
308
C
0021-9991
Citations 
PageRank 
References 
4
0.50
10
Authors
6
Name
Order
Citations
PageRank
Christian Vergara1202.34
Matthias Lange261.27
Simone Palamara3141.87
Toni Lassila4123.56
Alejandro F. Frangi54333309.21
Alfio Quarteroni634144.82