Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method

Gao, H. , Carrick, D., Berry, C. , Griffith, B. E. and Luo, X. (2014) Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method. IMA Journal of Applied Mathematics, 79(5), pp. 978-1010. (doi:10.1093/imamat/hxu029)

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Publisher's URL: http://dx.doi.org/10.1093/imamat/hxu029

Abstract

Detailed models of the biomechanics of the heart are important both for developing improved interventions for patients with heart disease and also for patient risk stratification and treatment planning. For instance, stress distributions in the heart affect cardiac remodelling, but such distributions are not presently accessible in patients. Biomechanical models of the heart offer detailed three-dimensional deformation, stress and strain fields that can supplement conventional clinical data. In this work, we introduce dynamic computational models of the human left ventricle (LV) that are derived from clinical imaging data obtained from a healthy subject and from a patient with a myocardial infarction (MI). Both models incorporate a detailed invariant-based orthotropic description of the passive elasticity of the ventricular myocardium along with a detailed biophysical model of active tension generation in the ventricular muscle. These constitutive models are employed within a dynamic simulation framework that accounts for the inertia of the ventricular muscle and the blood that is based on an immersed boundary (IB) method with a finite element description of the structural mechanics. The geometry of the models is based on data obtained non-invasively by cardiac magnetic resonance (CMR). CMR imaging data are also used to estimate the parameters of the passive and active constitutive models, which are determined so that the simulated end-diastolic and end-systolic volumes agree with the corresponding volumes determined from the CMR imaging studies. Using these models, we simulate LV dynamics from end-diastole to end-systole. The results of our simulations are shown to be in good agreement with subject-specific CMR-derived strain measurements and also with earlier clinical studies on human LV strain distributions.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gao, Dr Hao and Carrick, Dr David and Luo, Professor Xiaoyu and Berry, Professor Colin and Griffith, Dr Boyce
Authors: Gao, H., Carrick, D., Berry, C., Griffith, B. E., and Luo, X.
College/School:College of Medical Veterinary and Life Sciences > Institute of Cardiovascular and Medical Sciences
College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:IMA Journal of Applied Mathematics
Publisher:Oxford University Press
ISSN:0272-4960
ISSN (Online):1464-3634
Copyright Holders:Copyright © 2014 The Authors
First Published:First published in IMA Journal of Applied Mathematics 79(5):978-1010
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