A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network
Keywords
Computational Medicine for the Cardiocirculatory System
Code:
19/2015
Title:
A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network
Date:
Saturday 11th April 2015
Author(s):
Palamara, S.; Lange, M.; Vergara, C.; Lassila, T.; Frangi, A.F.; Quarteroni, A.
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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 are 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/monodimain coupling on a real
scenario. Our results underlie the importance of using physiologically realistic
Purkinje-trees with propagation solved using the monodomain model
for simulating cardiac activation