An a posteriori error estimator for model adaptivity in electrocardiology |
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| Authors: | L. Mirabella F. Nobile A. Veneziani |
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| Affiliation: | 1. Department of Pharmacology, University of California Davis, Davis, CA, USA;2. Institute of Pharmacology, West German Heart and Vascular Center, University Duisburg-Essen, Essen, Germany;3. Department of Cardiology, CARIM School for Cardiovascular Diseases, Faculty of Health, Medicine, and Life Sciences, Maastricht University, Maastricht, the Netherlands;1. Department of Biomedical Engineering and the Institute for Computational Medicine, Johns Hopkins University, Baltimore, MD, USA;2. Division of Cardiology, Johns Hopkins Hospital, Baltimore, MD, USA;1. Department of Human and Engineered Environmental Studies, Graduate School of Frontier Sciences, The University of Tokyo, Kashiwa-shi, Chiba 277-0871, Japan;2. Healthcare System Unit, Fujitsu Ltd., Ota-ku, Tokyo 144-8588, Japan;3. Department of Cardiovascular Medicine, School of Medicine, The University of Tokyo, Bunkyo-ku, Tokyo 113-8655, Japan;4. Department of Cardiovascular Medicine, Saitama Medical Center, Jichi Medical University, Saitama-shi, Saitama 330-8503, Japan;1. Department of Industrial Engineering, University of Roma Tor Vergata, Italy;2. PoF group, University of Twente, The Netherlands;3. Department of Industrial Engineering, University of Roma Tor Vergata, Italy;4. Gran Sasso Science Institute, Italy |
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| Abstract: | We introduce an a posteriori modeling error estimator for the effective computation of electric potential propagation in the heart. Starting from the Bidomain problem and an extended formulation of the simplified Monodomain system, we build a hybrid model, called Hybridomain, which is dynamically adapted to be either Bi- or Monodomain ones in different regions of the computational domain according to the error estimator. We show that accurate results can be obtained with the adaptive Hybridomain model with a reduced computational cost compared to the full Bidomain model. We discuss the effectivity of the estimator and the reliability of the results on simulations performed on real human left ventricle geometries retrieved from healthy subjects. |
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