Viscoelastic modelling of the tricuspid valve chordae tendineae tissue

Liu, L.-W., Lee, C.-H., Aggarwal, A. , Chao, C.-M., Ross, C. J. and Liao, Y.-K. (2022) Viscoelastic modelling of the tricuspid valve chordae tendineae tissue. Applied Mathematical Modelling, 105, pp. 648-669. (doi: 10.1016/j.apm.2021.12.028)

Abstract

In the present study, the mechanical behavior of tricuspid valve (TV) chordae tendineae tissue is investigated experimentally and theoretically. A series of uniaxial mechanical testing experiments of the TV chordae tendineae is conducted and its viscoelastic model is developed by taking into account the initial condition of displacement of the tissue. Our experimental result shows the typical J-shaped force-displacement curve of the TV chordae tendineae and the corresponding viscoelastic model is established via a nonlinear spring the is installed to replace the linear spring of the generalized Kelvin model. In addition, specified arrangements of the model parameters and the initial condition of the individual Kelvin element are proposed. The exact solutions of the model under step-wise and constant-rate forces are analytically derived and calibration of the model constants is addressed. The resulted simulation is compared with uniaxial mechanical testing of the TV chordae tendineae tissue and shows superior performance of the proposed model under creep and monotonic loading experiments. Furthermore, the sensitivity analysis and the parameter study are performed to examine the influence of initial conditions of displacement andother internal variables on the model response under step-wise and constant-rate forces.

• Item Type: Articles
• Additional Information: This research was supported by Ministry of Science and Technology of Taiwan (MOST 109-2221-E-006-004-MY3), the American Heart Association Scientist Development Grant (16SDG27760143), and the Presbyterian Health Foundation Team Science Grant. CJR was supported in part by the National Science Foundation Graduate Research Fellowship (GRF2020307284).
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Aggarwal, Dr Ankush
• Authors: Liu, L.-W., Lee, C.-H., Aggarwal, A., Chao, C.-M., Ross, C. J., and Liao, Y.-K.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Applied Mathematical Modelling
• Publisher: Elsevier
• ISSN: 0307-904X
• ISSN (Online): 1872-8480
• Published Online: 13 July 2022
• Copyright Holders: Copyright © 2022 Elsevier Inc
• First Published: First published Applied Mathematical Modelling 105: 648-669
• Publisher Policy: Reproduced in accordance with the publisher copyright policy