title: On boundary stimulation and optimal boundary control of the bidomain equations.
abstract: The bidomain equations with Neumann boundary stimulation and optimal control of these stimuli are investigated. First an analytical framework for boundary control is provided. Then a parallel finite element based algorithm is devised and its efficiency is demonstrated not only for the direct problem but also for the optimal control problem. The computations realize a model configuration corresponding to optimal boundary defibrillation of a reentry phenomenon by applying current density stimuli.
authors.affiliation: Radon Institute for Computational and Applied Mathematics, Altenbergerstr. 69, Linz A-4040, Austria. Electronic address: nagaiah.chamakuri@ricam.oeaw.ac.at.
authors.forename: Nagaiah
authors.initials: N
authors.lastname: Chamakuri
authors.forename: Karl
authors.initials: K
authors.lastname: Kunisch
authors.forename: Gernot
authors.initials: G
authors.lastname: Plank
mesh_terms: D000465:Algorithms; D001145:Arrhythmias, Cardiac / Q000503:physiopathology / Q000628:therapy; D019295:Computational Biology; D003198:Computer Simulation; D004554:Electric Countershock / Q000706:statistics & numerical data*; D055724:Electrophysiological Phenomena; D020342:Finite Element Analysis; D006801:Humans; D055641:Mathematical Concepts; D008955:Models, Cardiovascular
keywords: Bidomain model; Defibrillation; Neumann stimulation; Optimal control; Parallel FEM