Haider, M. A., Pearce, K. J., Chesler, N. C., Hill, N. A. and Olufsen, M. S. (2024) Application and reduction of a nonlinear hyperelastic wall model capturing ex vivo relationships between fluid pressure, area, and wall thickness in normal and hypertensive murine left pulmonary arteries. International Journal for Numerical Methods in Biomedical Engineering, e3798. (doi: 10.1002/cnm.3798) (PMID:38214099) (Early Online Publication)
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Abstract
Pulmonary hypertension is a cardiovascular disorder manifested by elevated mean arterial blood pressure (>20 mmHg) together with vessel wall stiffening and thickening due to alterations in collagen, elastin, and smooth muscle cells. Hypoxia-induced (type 3) pulmonary hypertension can be studied in animals exposed to a low oxygen environment for prolonged time periods leading to biomechanical alterations in vessel wall structure. This study introduces a novel approach to formulating a reduced order nonlinear elastic structural wall model for a large pulmonary artery. The model relating blood pressure and area is calibrated using ex vivo measurements of vessel diameter and wall thickness changes, under controlled pressure conditions, in left pulmonary arteries isolated from control and hypertensive mice. A two-layer, hyperelastic, and anisotropic model incorporating residual stresses is formulated using the Holzapfel–Gasser–Ogden model. Complex relations predicting vessel area and wall thickness with increasing blood pressure are derived and calibrated using the data. Sensitivity analysis, parameter estimation, subset selection, and physical plausibility arguments are used to systematically reduce the 16-parameter model to one in which a much smaller subset of identifiable parameters is estimated via solution of an inverse problem. Our final reduced one layer model includes a single set of three elastic moduli. Estimated ranges of these parameters demonstrate that nonlinear stiffening is dominated by elastin in the control animals and by collagen in the hypertensive animals. The pressure–area relation developed in this novel manner has potential impact on one-dimensional fluids network models of vessel wall remodeling in the presence of cardiovascular disease.
| Item Type: | Articles |
|---|---|
| Additional Information: | Supported in part by the US National Science Foundation (DMS-1615820 and DMS-1638521) and by U.K. Research and Innovation (EPSRC EP/N014642/1, EP/S030875/1, and EP/T017899/1), and a Leverhulme Research Fellow-ship (NAH). |
| Status: | Early Online Publication |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Hill, Professor Nicholas |
| Authors: | Haider, M. A., Pearce, K. J., Chesler, N. C., Hill, N. A., and Olufsen, M. S. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | International Journal for Numerical Methods in Biomedical Engineering |
| Publisher: | Wiley |
| ISSN: | 2040-7939 |
| ISSN (Online): | 2040-7947 |
| Published Online: | 12 January 2024 |
| Copyright Holders: | Copyright © 2024 The Authors |
| First Published: | First published in International Journal for Numerical Methods in Biomedical Engineering 2024 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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