On the chordae structure and dynamic behaviour of the mitral valve

Feng, L., Qi, N., Gao, H. , Sun, W., Vazquez, M., Griffith, B.E. and Luo, X.Y. (2018) On the chordae structure and dynamic behaviour of the mitral valve. IMA Journal of Applied Mathematics, 83(6), pp. 1066-1091. (doi:10.1093/imamat/hxy035) (PMID:30655652) (PMCID:PMC6328065)

Feng, L., Qi, N., Gao, H. , Sun, W., Vazquez, M., Griffith, B.E. and Luo, X.Y. (2018) On the chordae structure and dynamic behaviour of the mitral valve. IMA Journal of Applied Mathematics, 83(6), pp. 1066-1091. (doi:10.1093/imamat/hxy035) (PMID:30655652) (PMCID:PMC6328065)

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Abstract

We develop a fluid-structure interaction (FSI) model of the mitral valve (MV) that uses an anatomically and physiologically realistic description of the MV leaflets and chordae tendineae. Three different chordae models — complex, “pseudo-fibre”, and simplified chordae — are compared to determine how different chordae representations affect the dynamics of the MV. The leaflets and chordae are modelled as fibre-reinforced hyperelastic materials, and FSI is modelled using an immersed boundary-finite element (IB/FE) method. The MV model is first verified under static boundary conditions against the commercial FE software ABAQUS, and then used to simulate MV dynamics under physiological pressure conditions. Interesting flow patterns and vortex formulation are observed in all three cases. To quantify the highly complex system behaviour resulting from FSI, an energy budget analysis of the coupled MV FSI model is performed. Results show that the complex and pseudo-fibre chordae models yield good valve closure during systole, but that the simplified chordae model leads to poorer leaflet coaptation and an unrealistic bulge in the anterior leaflet belly. An energy budget analysis shows that the MV models with complex and pseudo-fibre chordae have similar energy distribution patterns, but the MV model with the simplified chordae consumes more energy, especially during valve closing and opening. We find that the complex chordae and pseudo-fibre chordae have similar impact on the overall MV function, but that the simplified chordae representation is less accurate. Because a pseudo-fibre chordal structure is easier to construct and less computationally intensive, it may be a good candidate for modelling MV dynamics or interaction between the MV and heart in patient-specific applications.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Qi, Dr Nan and Gao, Dr Hao and Griffith, Dr Boyce and Feng, Mr Liuyang
Authors: Feng, L., Qi, N., Gao, H., Sun, W., Vazquez, M., Griffith, B.E., and Luo, X.Y.
College/School:College of Science and Engineering > School of Mathematics and Statistics
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
Published Online:30 August 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in IMA Journal of Applied Mathematics 83:1066–1091
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
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