Some effects of different constitutive laws on simulating mitral valve dynamics with FSI

Cai, L., Wang, Y., Gao, H. , Ma, X.S., Zhu, G.Y., Zhang, R.H., Shen, X.Q. and Luo, X. (2019) Some effects of different constitutive laws on simulating mitral valve dynamics with FSI. Scientific Reports, 9, 12753. (doi: 10.1038/s41598-019-49161-6) (PMID:31484963) (PMCID:PMC6726639)

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In this paper, three different constitutive laws for mitral leaflets and two laws for chordae tendineae are selected to study their effects on mitral valve dynamics with fluid-structure interaction. We first fit these three mitral leaflet constitutive laws and two chordae tendineae laws with experimental data. The fluid-structure interaction is implemented in an immersed boundary framework with finite element extension for solid, that is the hybrid immersed boundary/finite element(IB/FE) method. We specifically compare the fluid-structure results of different constitutive laws since fluid-structure interaction is the physiological loading environment. This allows us to look at the peak jet velocity, the closure regurgitation volume, and the orifice area. Our numerical results show that different constitutive laws can affect mitral valve dynamics, such as the transvalvular flow rate, closure regurgitation and the orifice area, while the differences in fiber strain and stress are insignificant because all leaflet constitutive laws are fitted to the same set of experimental data. In addition, when an exponential constitutive law of chordae tendineae is used, a lower closure regurgitation flow is observed compared to that of a linear material model. In conclusion, combining numerical dynamic simulations and static experimental tests, we are able to identify suitable constitutive laws for dynamic behaviour of mitral leaflets and chordae under physiological conditions.

Item Type:Articles
Additional Information:This research is supported by the National Natural Science Foundation of China (Grant Nos. 11871399, 11471261, 11571275), and the Natural Science Foundation of Shaanxi (Grant No. 2017JM1005). HG and XYL also acknowledge the funding from the Engineering and Physical Sciences Research Council (EPSRC)of the UK (Grant no: EP/N014642/1).
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Gao, Dr Hao and Cai, Dr Li
Authors: Cai, L., Wang, Y., Gao, H., Ma, X.S., Zhu, G.Y., Zhang, R.H., Shen, X.Q., and Luo, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Scientific Reports
Publisher:Nature Publishing Group
ISSN (Online):2045-2322
Copyright Holders:Copyright © 2019 The Authors
First Published:First published in Scientific Reports 9:12753
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
694461EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering and Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - MATHEMATICS