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PDE constrained optimization of electrical defibrillation in a 3D ventricular slice geometry
Author(s) -
Chamakuri Nagaiah,
Kunisch Karl,
Plank Gernot
Publication year - 2016
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2742
Subject(s) - bidomain model , computation , axial symmetry , rotation (mathematics) , boundary value problem , anisotropy , geometry , defibrillation , ellipsoid , physics , mechanics , computer science , mathematical analysis , mathematics , algorithm , optics , medicine , cardiology , quantum mechanics , astronomy
Summary A computational study of an optimal control approach for cardiac defibrillation in a 3D geometry is presented. The cardiac bioelectric activity at the tissue and bath volumes is modeled by the bidomain model equations. The model includes intramural fiber rotation, axially symmetric around the fiber direction, and anisotropic conductivity coefficients, which are extracted from a histological image. The dynamics of the ionic currents are based on the regularized Mitchell–Schaeffer model. The controls enter in the form of electrodes, which are placed at the boundary of the bath volume with the goal of dampening undesired arrhythmias. The numerical optimization is based on Newton techniques. We demonstrated the parallel architecture environment for the computation of potentials on multidomains and for the higher order optimization techniques. Copyright © 2015 John Wiley & Sons, Ltd.