Computational cardiology: the bidomain based modified Hill model incorporating viscous effects for cardiac defibrillation
- 537 Downloads
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.
KeywordsCoupled heart electromechanics Bidomain equations Visco-active response Defibrillation Arrhythmias
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.
- 4.Augustin CM, Neic A, Liebmann M, Prassl AJ, Niederer SA, Haase G, Plank G (2016) Anatomically accurate high resolution modeling of human whole heart electromechanics: a strongly scalable algebraic multigrid solver method for nonlinear deformation. J Comput Phys 305:622–646MathSciNetCrossRefzbMATHGoogle Scholar
- 6.Bragard J, Elorza J, Cherry EM, Fenton FH (2013) Validation of a computational model of cardiac defibrillation. Comput Cardiol 2013:851–854Google Scholar
- 26.Lecarpentier Y, Chemla D (1990) Mehcanical analysis of sarcomere by laser diffraction: energy excahnge and cardiac insuffiency. In: Swynghedauw B (ed) Research in cardiac hypertrophy and failure. INSERM/John Linney Eurotext, Paris, pp 137–160Google Scholar
- 30.Nickerson D, Nash M, Nielsen P, Smith N, Hunter P (2006) Computational multiscale modeling in the IUPS physiome project: modeling cardiac electromechanics. Syst Biol 50:617–630Google Scholar
- 35.Pollard AE, Hooke N, Henriquez CS (1992) Cardiac propagation simultion. Crit Rev Biomed Eng 20:171–210Google Scholar
- 41.Tung L (1978) A bidomain model for describing ischaemic myocardial dc potentials. Ph.D. thesis, MITGoogle Scholar