Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour

Land, S. et al. (2015) Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471(2184), 20150641. (doi:10.1098/rspa.2015.0641) (PMID:6807042) (PMCID:PMC4707707)

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Abstract

Models of cardiac mechanics are increasingly used to investigate cardiac physiology. These models are characterized by a high level of complexity, including the particular anisotropic material properties of biological tissue and the actively contracting material. A large number of independent simulation codes have been developed, but a consistent way of verifying the accuracy and replicability of simulations is lacking. To aid in the verification of current and future cardiac mechanics solvers, this study provides three benchmark problems for cardiac mechanics. These benchmark problems test the ability to accurately simulate pressure-type forces that depend on the deformed objects geometry, anisotropic and spatially varying material properties similar to those seen in the left ventricle and active contractile forces. The benchmark was solved by 11 different groups to generate consensus solutions, with typical differences in higher-resolution solutions at approximately 0.5%, and consistent results between linear, quadratic and cubic finite elements as well as different approaches to simulating incompressible materials. Online tools and solutions are made available to allow these tests to be effectively used in verification of future cardiac mechanics software.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Griffith, Dr Boyce and Gao, Dr Hao
Authors: Land, S., Gurev, V., Arens, S., Augustin, C. M., Baron, L., Blake, R., Bradley, C., Castro, S., Crozier, A., Favino, M., Fastl, T. E., Fritz, T., Gao, H., Gizzi, A., Griffith, B. E., Hurtado, D. E., Krause, R., Luo, X., Nash, M. P., Pezzuto, S., Plank, G., Rossi, S., Ruprecht, D., Seemann, G., Smith, N. P., Sundnes, J., Rice, J. J., Trayanova, N., Wang, D., Wang, Z., and Niederer, S. A.
College/School:College of Medical Veterinary and Life Sciences > School of Medicine, Dentistry & Nursing
College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
Publisher:The Royal Society
ISSN:1364-5021
ISSN (Online):1471-2946
Published Online:16 December 2015
Copyright Holders:Copyright © 2015 The Authors
First Published:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 471(2184):20150641
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
560111Finite element-immersed boundary method and its application to mitral valvesXiaoyu LuoEngineering & Physical Sciences Research Council (EPSRC)EP/I029990/1M&S - MATHEMATICS
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