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Computational cardiology: the bidomain based modified Hill model incorporating viscous effects for cardiac defibrillation

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Abstract

Working mechanisms of the cardiac defibrillation are still in debate due to the limited experimental facilities and one-third of patients even do not respond to cardiac resynchronization therapy. With an aim to develop a milestone towards reaching the unrevealed mechanisms of the defibrillation phenomenon, we propose a bidomain based finite element formulation of cardiac electromechanics by taking into account the viscous effects that are disregarded by many researchers. To do so, the material is deemed as an electro-visco-active material and described by the modified Hill model (Cansız et al. in Comput Methods Appl Mech Eng 315:434–466, 2017). On the numerical side, we utilize a staggered solution method, where the elliptic and parabolic part of the bidomain equations and the mechanical field are solved sequentially. The comparative simulations designate that the viscoelastic and elastic formulations lead to remarkably different outcomes upon an externally applied electric field to the myocardial tissue. Besides, the achieved framework requires significantly less computational time and memory compared to monolithic schemes without loss of stability for the presented examples.

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Acknowledgements

We gratefully acknowledge the contribution of Dr. med. Krunoslav Michael Sveric from Department of Cardiology, Heart Center, Technische Universität Dresden and the financial support of the German Research Foundation (DFG) under Grant KA 1163/18.

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Authors and Affiliations

  1. Institute for Structural Analysis, Technische Universität Dresden, 01069, Dresden, Germany

    Barış Cansız & Michael Kaliske

  2. Department of Mechanical Engineering, Middle East Technical University, 06800, Ankara, Turkey

    Hüsnü Dal

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  1. Barış Cansız
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  2. Hüsnü Dal
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  3. Michael Kaliske
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Correspondence to Michael Kaliske.

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Cansız, B., Dal, H. & Kaliske, M. Computational cardiology: the bidomain based modified Hill model incorporating viscous effects for cardiac defibrillation. Comput Mech 62, 253–271 (2018). https://doi.org/10.1007/s00466-017-1495-z

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