Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Document Type : Research Paper

Authors

Puria Talebi Barmi ¹
Bahman Vahidi ²

¹ Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran

² Faculty of New Sciences and Technologies, University of Tehran, North Kargar Street, Tehran, Iran

https://doi.org/10.22061/jcarme.2023.8916.2202

Abstract

Arterial embolism is one of the major causes of brain infarction. Investigating the hemodynamic factors of this phenomenon can help us to get a better understanding of this complication. The carotid artery is one of the primary tracts that emboli can go toward the brain through it. In this study, we used a 3D model of the carotid bifurcation, and two geometries, elliptical and spherical, were considered for the clots. Hyperelastic and visco-hyperelastic models were used for the mechanical properties of clots. The governing equations of the fluid are Navier-Stokes and continuity equations and have been solved in an Arbitrary Lagrangian-Eulerian (ALE) formulation through the fluid-structure interaction method. The hemodynamic parameters of fluid and shear stress on the wall of the carotid artery were calculated. Besides, by using ADINA software, the effective stress (Von Mises stress) of the clots and the shear stress created on them were evaluated as well. Results revealed that the elliptical clot has more effects on the hemodynamic parameters of the fluid, and the mechanical property of clots has significant effects on the amount of stress created on the clots. Also, clot fracture will not occur due to the point that the maximum effective stress in this study was 1819 Pa but the creation of crack in clots is more probable, and this probability is more for the elliptical clot.

Graphical Abstract

Keywords

dor

20.1001.1.22287922.2023.13.1.2.8

Main Subjects

Biomechanics

References

[1] F. Khodaee, B. Vahidi, and N. Fatouraee, "Analysis of mechanical parameters on the thromboembolism using a patient-specific computational model," Biomech. Model. Mechanobiol, Vol. 15, No. 5, pp. 1295-1305, (2016).

[2] G. Ntaios and R. G. Hart, "Embolic stroke," Circulation, Vol. 136, No. 25, pp. 2403-2405, (2017).

[3] M. Coggia, O. Goëau-Brissonnière, J.-L. Duval, J.-P. Leschi, M. Letort, and M.-D. Nagel, "Embolic risk of the different stages of carotid bifurcation balloon angioplasty: an experimental study," J. Vasc. Surg., Vol. 31, No. 3, pp. 550-557, (2000).

[4] J. Xiang, T. Zhang, Q.-w. Yang, J. Liu, Y. Chen, M. Cui, Z.-G. Yin, L. Li, Y.-J. Wang, and J. Li, "Carotid artery atherosclerosis is correlated with cognitive impairment in an elderly urban Chinese non-stroke population," J. Clin. Neurosci., Vol. 20, No. 11, pp. 1571-1575, (2013).

[5] M. Appelblad and G. Engström, "Fat contamination of pericardial suction blood and its influence on in vitro capillary-pore flow properties in patients undergoing routine coronary artery bypass grafting," J. Thorac. Cardiovasc. Surg., Vol. 124, No. 2, pp. 377-386, (2002).

[6] D. Bushi, Y. Grad, S. Einav, O. Yodfat, B. Nishri, and D. Tanne, "Hemodynamic evaluation of embolic trajectory in an arterial bifurcation: an in-vitro experimental model," Stroke, Vol. 36, No. 12, pp. 2696-2700, (2005).

[7] B. Vahidi and N. Fatouraee, "Numerical Analysis of Fully Blocked Human Common Carotid Artery Resulted from Arterial Thromboembolism Using a Contact Finite Element Model," Iran. Biomed. J., Vol. 2, No. 4, pp. 285-296, (2009).

[8] B. Vahidi and N. Fatouraee, "Large deforming buoyant embolus passing through a stenotic common carotid artery: A computational simulation," J. Biomech., Vol. 45, No. 7, pp. 1312-1322, (2012).

[9] D. Fabbri, Q. Long, S. Das, and M. Pinelli, "Computational modelling of emboli travel trajectories in cerebral arteries: influence of microembolic particle size and density," Biomech. Model. Mechanobiol., Vol. 13, No. 2, pp. 289-302, (2014).

[10] D. Mukherjee, J. Padilla, and S. C. Shadden, "Numerical investigation of fluid–particle interactions for embolic stroke," Theor. Comput. Fluid. Dyn., Vol. 30, No. 1, pp. 23-39, (2016).

[11] E. Miranda, L. C. Sousa, C. C. António, C. F. Castro, and S. I. S. Pinto, "Role of the left coronary artery geometry configuration in atherosusceptibility: CFD simulations considering sPTT model for blood," Comput Methods Biomech Biomed Engin, Vol. 24, No. 13, pp. 1488-1503, (2021).

[12] E. Abolfazli, N. Fatouraee, and B. Vahidi, "Dynamics of motion of a clot through an arterial bifurcation: a finite element analysis," Fluid Dyn. Res., Vol. 46, No. 5, p. 055505, (2014).

[13] S. Tada, "Computational study of the influence of bifurcation angle on haemodynamics and oxygen transport in the carotid bifurcation," Biomed. Eng. - Appl. Basis Commun., Vol. 31, No. 03, p. 1950024, (2019).

[14] M. Nagargoje and R. Gupta, "Effect of sinus size and position on hemodynamics during pulsatile flow in a carotid artery bifurcation," Comput Methods Programs Biomed., Vol. 192, p. 105440, (2020).

[15] T. Martens, Blood flow simulation in carotid arteries with computational fluid dynamics, Bachelor thesis, University of Twente, (2022).

[16] H. JE, "Guyton and Hall textbook of medical physiology," Philadelphia, PA: Saunders Elsevier, Vol. 107, p. 1146, (2011).

[17] N. Kumar, R. Pai, S. Abdul Khader, S. Khan, and P. Kyriacou, "Influence of blood pressure and rheology on oscillatory shear index and wall shear stress in the carotid artery," J Braz Soc Mech Sci Eng, Vol. 44, No. 11, pp. 1-16, (2022).

[18] H. Xie, K. Kim, S. R. Aglyamov, S. Y. Emelianov, M. O’Donnell, W. F. Weitzel, S. K. Wrobleski, D. D. Myers, T. W. Wakefield, and J. M. Rubin, "Correspondence of ultrasound elasticity imaging to direct mechanical measurement in aging DVT in rats," Ultrasound Med. Biol., Vol. 31, No. 10, pp. 1351-1359, (2005).

[19] C. Schmitt, A. H. Henni, and G. Cloutier, "Characterization of blood clot viscoelasticity by dynamic ultrasound elastography and modeling of the rheological behavior," J. Biomech., Vol. 44, No. 4, pp. 622-629, (2011).

[20] F. Mirakhorli, B. Vahidi, M. Pazouki, and P. T. Barmi, "A Fluid-Structure Interaction Analysis of Blood Clot Motion in a Branch of Pulmonary Arteries," Cardiovasc. Eng. Technol., pp. 1-13, (2022).

[21] J. Donea, A. Huerta, J. P. Ponthot, and A. Rodríguez‐Ferran, "Arbitrary L agrangian–E ulerian Methods," Encyclopedia of Computational Mechanics Second Edition, pp. 1-23, (2017).

[22] D. Stutts, "Analytical dynamics: Lagrange’s equation and its application–a brief introduction," Missouri S&T., Vol. 28, p. 2017, (1995).

[23] K.-J. Bathe and H. Zhang, "A mesh adaptivity procedure for CFD and fluid-structure interactions," Comput Struct., Vol. 87, No. 11-12, pp. 604-617, (2009).

[24] R. Torii, M. Oshima, T. Kobayashi, K. Takagi, and T. E. Tezduyar, "Fluid–structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes," Comput. Methods Appl. Mech. Eng., Vol. 198, No. 45-46, pp. 3613-3621, (2009).

[25] H. Gharahi, B. A. Zambrano, D. C. Zhu, J. K. DeMarco, and S. Baek, "Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging," Int J Adv Eng Sci Appl Math., Vol. 8, No. 1, pp. 46-60, (2016).

[26] N. Kumar, R. Pai, M. Manjunath, A. Ganesha, and S. Abdul Khader, "Effect of linear and Mooney–Rivlin material model on carotid artery hemodynamics," J. Braz. Soc. Mech. Sci. Eng., Vol. 43, No. 8, pp. 1-10, (2021).

[27] D. L. Fry, "Acute vascular endothelial changes associated with increased blood velocity gradients," Circ. Res., Vol. 22, No. 2, pp. 165-197, (1968).

[28] J. J. Paszkowiak and A. Dardik, "Arterial wall shear stress: observations from the bench to the bedside," Vasc Endovascular Surg., Vol. 37, No. 1, pp. 47-57, (2003).

[29] Y.-c. Fung, Biomechanics: mechanical properties of living tissues. Springer Science & Business Media, (2013).

[30] V. Tutwiler, J. Singh, R. I. Litvinov, J. L. Bassani, P. K. Purohit, and J. W. Weisel, "Rupture of blood clots: Mechanics and pathophysiology," Sci. Adv., Vol. 6, No. 35, p. eabc0496, (2020).

[31] Y. Liu, Y. Zheng, A. S. Reddy, D. Gebrezgiabhier, E. Davis, J. Cockrum, J. J. Gemmete, N. Chaudhary, J. M. Griauzde, and A. S. Pandey, "Analysis of human emboli and thrombectomy forces in large-vessel occlusion stroke," J. Neurosurg., Vol. 134, No. 3, pp. 893-901, (2020).

[32] L. Richards, "Presence of large-vessel occlusion predicts outcome for stroke patients," Nat. Rev. Neurol., Vol. 5, No. 12, pp. 636-636, (2009).

[33] A. Hammoud, E. Y. Sharay, and A. N. Tikhomirov, "Newtonian and non-Newtonian pulsatile flows through carotid artery bifurcation based on CT image geometry," AIP Conf. Proc., Vol. 2171, No. 1, p. 110022, (2019).

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