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On boundary stimulation and optimal boundary control of the bidomain equations |
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| Authors: | Nagaiah Chamakuri Karl Kunisch Gernot Plank |
| Affiliation: | 1. Radon Institute for Computational and Applied Mathematics, Altenbergerstr. 69, Linz A-4040, Austria;2. Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstr. 36, Graz A-8010, Austria;3. Institute of Biophysics, Medical University of Graz, Harrachgasse 21, Graz A-8010, Austria |
| 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. |
| Keywords: | Bidomain model Defibrillation Neumann stimulation Optimal control Parallel FEM |
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