Numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network
Thursday 2nd November 2017
Landajuela, M.; Vergara, C.; Gerbi, A.; Dede', L.; Formaggia, L.; Quarteroni, A.
In this work, we consider the numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network. The mathematical model couples the 3D elastodynamics and bidomain equations for the electrophysiology in the myocardium with the 1D monodomain equation in the Purkinje network. For the numerical solution of the coupled problem, we consider a fixed-point iterative algorithm that enables a partitioned solution of the myocardium and Purkinje network problems. Different levels of myocardium-network splitting are considered and analyzed. The results are compared with those obtained using standard strategies proposed in the literature to trigger the electrical activation. Finally, we present a physiological cardiac simulation, including the initiation of the signal in the Purkinje network, the systolic phase and the beginning of the filling phase.