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Gao H, Carrick D, Berry C, et al. Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method. IMA J Appl Math. 2014;79(5):978-1010doi: 10.1093/imamat/hxu029.
Gao, H., Carrick, D., Berry, C., Griffith, B. E., & 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), 978-1010. https://doi.org/10.1093/imamat/hxu029
Gao, Hao, et al. "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 vol. 79,5 (2014): 978-1010. doi: https://doi.org/10.1093/imamat/hxu029
Gao H, Carrick D, Berry C, Griffith BE, Luo X. Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method. IMA J Appl Math. 2014 Oct;79(5):978-1010. doi: 10.1093/imamat/hxu029. Epub 2014 Jul 01. PMID: 27041786; PMCID: PMC4816497.
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IMA J Appl Math. 2014 Oct;79(5):978-1010. doi: 10.1093/imamat/hxu029. Epub 2014 Jul 01.

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

Hao Gao, David Carrick, Colin Berry, Boyce E Griffith, Xiaoyu Luo

Affiliations

  1. School of Mathematics and Statistics, University of Glasgow, Glasgow, UK.
  2. Institute of Cardiovascular and Medical Science, University of Glasgow, Glasgow, UK.
  3. Leon H. Charney Division of Cardiology, Department of Medicine, New York University School of Medicine, New York, NY, USA and Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, New York, NY, USA.

PMID: 27041786 PMCID: PMC4816497 DOI: 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 enddiastole 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.

Keywords: excitation–contraction coupling; finite element method; hyperelasticity; immersed boundary method; invariant-based constitutive model; left ventricle; magnetic resonance imaging; myocardial infarction

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