Parameter estimation in a Holzapfel–Ogden law for healthy myocardium

Gao, H. , Li, W.G., Cai, L., Berry, C. and Luo, X.Y. (2015) Parameter estimation in a Holzapfel–Ogden law for healthy myocardium. Journal of Engineering Mathematics, 95(1), pp. 231-248. (doi: 10.1007/s10665-014-9740-3) (PMID:26663931) (PMCID:PMC4662962)

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A central problem in biomechanical studies of personalized human left ventricular (LV) modelling is to estimate material properties from in vivo clinical measurements. In this work we evaluate the passive myocardial mechanical properties inversely from the in vivo LV chamber pressure–volume and strain data. The LV myocardium is described using a structure-based orthotropic Holzapfel–Ogden constitutive law with eight parameters. In the first part of the paper we demonstrate how to use a multi-step non-linear least-squares optimization procedure to inversely estimate the parameters from the pressure–volume and strain data obtained from a synthetic LV model in diastole. In the second part, we show that to apply this procedure to clinical situations with limited in vivo data, additional constraints are required in the optimization procedure. Our study, based on three different healthy volunteers, demonstrates that the parameters of the Holzapfel–Ogden law could be extracted from pressure–volume and strain data with a suitable multi-step optimization procedure. Although the uniqueness of the solution cannot be addressed using our approaches, the material response is shown to be robustly determined.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Li, Dr Wenguang and Gao, Dr Hao and Cai, Dr Li and Berry, Professor Colin
Authors: Gao, H., Li, W.G., Cai, L., Berry, C., and Luo, X.Y.
College/School:College of Medical Veterinary and Life Sciences > School of Cardiovascular & Metabolic Health
College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Engineering Mathematics
Publisher:Springer Netherlands
ISSN (Online):1573-2703
Copyright Holders:Copyright © 2015 The Authors
First Published:First published in the Journal of Engineering Mathematics 2015
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
662681"First steps towards modelling myocardial infarction (a computed MI Physiome): A case-control study of novel biomechanical parameters in acute MI survivors with left ventricular dysfunction."Colin BerryBritish Heart Foundation (BHF)PG/14/64/31043RI CARDIOVASCULAR & MEDICAL SCIENCES
560111Finite element-immersed boundary method and its application to mitral valvesXiaoyu LuoEngineering & Physical Sciences Research Council (EPSRC)EP/I029990/1M&S - MATHEMATICS