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Title
PDE constrained optimization of electrical defibrillation in a 3D ventricular slice geometry
AuthorNagaiah, Chamakuri ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen ; Plank, Gernot
Published in
International Journal for Numerical Methods in Biomedical Engineering, 2015, Vol. 32, Issue 4, page 1-20
PublishedWiley, 2015
Edition
Preprint
LanguageEnglish
Document typeJournal Article
Keywords (EN)electrophysiology / regularized Mitchell-Schaeffer model / cardiac arrhythmia / bidomain model / PDE constraint optimization / finite element method / second order optimization methods
ISSN2040-7947
URNurn:nbn:at:at-ubg:3-3571 Persistent Identifier (URN)
DOI10.1002/cnm.2742 
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 The work is publicly available
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Abstract (English)

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 MitchellSchaeffer 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.

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