title: PDE constrained optimization of electrical defibrillation in a 3D ventricular slice geometry.
abstract: 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.
authors.affiliation: Radon Institute for Computational Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, Linz, A-4040, Austria.
authors.forename: Nagaiah
authors.identifier: http://orcid.org/0000-0002-7380-6908
authors.initials: N
authors.lastname: Chamakuri
authors.affiliation: Radon Institute for Computational Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, Linz, A-4040, Austria.|Institute of Mathematics Scientific Computing, University of Graz, Heinrichstr. 36, Graz, A-8010, Austria.
authors.forename: Karl
authors.initials: K
authors.lastname: Kunisch
authors.affiliation: Institute of Biophysics, Medical University of Graz, Harrachgasse 21, Graz, A-8010, Austria.
authors.forename: Gernot
authors.initials: G
authors.lastname: Plank
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004554:Electric Countershock; D006352:Heart Ventricles / Q000033:anatomy & histology*; D021621:Imaging, Three-Dimensional; D008955:Models, Cardiovascular; D009716:Numerical Analysis, Computer-Assisted
keywords: PDE constraint optimization; bidomain model; cardiac arrhythmia; electrophysiology; finite element method; regularized Mitchell-Schaeffer model; second-order optimization methods