Modelling of Elastic Stress in Soft Tissue with Stenosed and Aneurysmal Arteries Under Hypertension Using a Viscoelastic and Non-Newtonian Framework
DOI :
https://doi.org/10.62054/ijdm/0203.05Résumé
This study presents a comprehensive computational model for analysing arterial wall stress in stenosed and aneurysmal arteries under hypertensive conditions. The model integrates viscoelastic arterial wall behaviour, non-Newtonian blood flow using both the Carreau–Yasuda and a novel Bioadaptive Shear Model (BSM), and fatigue assessment via Miner’s Rule. A three-dimensional arterial segment with 50% stenosis and 30% aneurysm is simulated using a finite difference method under pulsatile pressure. Results reveal that stenosis significantly elevates wall shear stress (9.4 Pa) and fatigue damage (D = 0.67), while aneurysms show lower peak stress (4.5 Pa) with broader distribution. The BSM captures time-evolving shear-thinning viscosity, linking mechanical fatigue with hemorheological adaptation. This integrative approach enhances physiological realism and supports risk stratification, device design, and targeted interventions in hypertensive patients.
Références
Alavi, S. H., & Tufail, M. (2016). Mechanical effects of atherosclerotic plaque on arterial walls. Journal of Biomechanical Engineering, 138(7), 071002. https://doi.org/10.1115/1.4033654
Berger, S. A., & Jou, L. D. (2000). Flows in stenotic vessels. Annual Review of Fluid Mechanics, 32, 347–382. https://doi.org/10.1146/annurev.fluid.32.1.347
Burgreen, G. W., Fernandez, J. L., & Patel, R. (2021). Non-Newtonian blood flow effects on arterial wall mechanics. Annals of Biomedical Engineering, 49(8), 1892–1905. https://doi.org/10.1007/s10439-021-02747-6
Canic, S., & Tambaca, J. (2004). Modelling blood flow in compliant arteries using one-dimensional fluid-structure interaction model. Computers and Fluids, 33(5–6), 601–619. https://doi.org/10.1016/j.compfluid.2003.09.004
Carreau, P. J. (1972). Rheological equations from molecular network theories. Transactions of the Society of Rheology, 16(1), 99–127. https://doi.org/10.1122/1.549276
Choi, J. B., & Vito, R. P. (1990). Two-dimensional stress-strain relationship for arterial walls. Journal of Biomechanics, 23(10), 927–936. https://doi.org/10.1016/0021-9290(90)90311-H
Chrysafides, S. M., Matsumoto, T., & Xie, Y. (2017). Hypertension-induced structural changes in arterial walls. Cardiovascular Research, 113(5), 456–467. https://doi.org/10.1093/cvr/cvx023
Chrysafides, S. M., Muller, J., & Valdez, R. (2020). Fatigue modeling in aneurysmal arteries under cyclic loading. Biomechanics and Modeling in Mechanobiology, 19(3), 1123–1135. https://doi.org/10.1007/s10237-020-01322-7
Fernandez, J. L., Zhao, Q., & Matthys, K. S. (2020). A unified framework for viscoelastic arterial modeling. Journal of Computational Physics, 415, 109532. https://doi.org/10.1016/j.jcp.2020.109532
Fung, Y. C. (1996). Biomechanics: Circulation (2nd ed.). Springer-Verlag.
Gholipour, A., & Ghista, D. N. (2022). Multiphysics modeling of blood flow and arterial wall interaction under hypertensive and stenotic conditions. International Journal for Numerical Methods in Biomedical Engineering, 38(3), e3607. https://doi.org/10.1002/cnm.3607
Zamir, M., & Xu, C. (2021). Blood flow dynamics in diseased arteries: A review of recent advances in computational modeling. Annals of Biomedical Engineering, 49(4), 971–992. https://doi.org/10.1007/s10439-021-02730-1
World Health Organization. (2023, November 2). Cardiovascular diseases (CVDs). World Health Organization. https://www.who.int/news-room/fact-sheets/detail/cardiovascular-diseases-(cvds)
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