J K Al-obaidi, W., Al-Tayyar, M., Mandal, P. (2023). Extended finite element approach to predict and track rupture propagation in abdominal aortic aneurysm. Alustath, 16(3), 160-168. doi: 10.30772/qjes.2023.178994
Wisam J K Al-obaidi; Mohammed A Al-Tayyar; Parthasarathi Mandal. "Extended finite element approach to predict and track rupture propagation in abdominal aortic aneurysm". Alustath, 16, 3, 2023, 160-168. doi: 10.30772/qjes.2023.178994
J K Al-obaidi, W., Al-Tayyar, M., Mandal, P. (2023). 'Extended finite element approach to predict and track rupture propagation in abdominal aortic aneurysm', Alustath, 16(3), pp. 160-168. doi: 10.30772/qjes.2023.178994
J K Al-obaidi, W., Al-Tayyar, M., Mandal, P. Extended finite element approach to predict and track rupture propagation in abdominal aortic aneurysm. Alustath, 2023; 16(3): 160-168. doi: 10.30772/qjes.2023.178994

Extended finite element approach to predict and track rupture propagation in abdominal aortic aneurysm

Al-Qadisiyah Journal for Engineering Sciences
Volume 16, Issue 3, September 2023, Pages 160-168    PDF (810.61 K)
Document Type: Research Paper
DOI: 10.30772/qjes.2023.178994
Authors
Wisam J K Al-obaidi1; Mohammed A Al-Tayyar2; Parthasarathi Mandal* 3
1Department of Mechanical Engineering, Collage of Engineering, University of Al-Qadisiyah, Ad-Diwaniyah, Iraq.
2College of Technical Engineering, University of Al-Kafeel, Iraq: Al-Najaf
3Department of Mechanical Aerospace and Civil Engineering, The University of Manchester, M13 9PL, UK
Abstract
Abdominal aortic aneurysm (AAA) is a life-threatening cardio-vascular condition. Current surgical intervention is based on the maximum diameter threshold of 5.5 cm. Over the past years, two indicators to predict potential rupture, Rupture Potential Index (RPI) and Finite Element Analysis Rupture Index (FEARI), had been developed using finite element analysis (FEA), based on the predicted maximum wall stress and statistical or local wall strength. The purpose of this study is to develop a numerical model using extended finite element method (XFEM) to understand the initiation/growth of potential rupture and predict its location in abdominal aortic aneurysm wall by involving the parameters of failure: the wall stress, wall strength and strain, as well as, investigating the use of 3D-US AAA models instead of CT models. Failure analyses were conducted on numerical models of AAA derived from 3D-US and CT images for four elected patients to examine the initiation and growth of potential rupture under three different pressures of 120, 140 and 160 mmHg and three different wall strengths of 0.33, 1.34 and 2.36 MPa respectively. The majority of AAAs showed insignificant differences in stress distributions between 3D-US and CT models, except one patient where the 3D-US model remarkably showed higher stress compared to the CT model. The location of rupture initiation was predicted reliably for both the models of AAA  which have been independently verfied with visual predictions by cardio-vascular surgeons. However, the predicted length of rupture and the potential penetration (full damage of the wall) varied between the models depending upon the applied pressure and the strength of the wall.
Keywords
AAA rupture; XFEM approach; Maximum stress; Life-threatening; Wall strength
References
  • Cheng, C.P., R.J. Herfkens, and C.A. Taylor, Abdominal aortic hemodynamic conditions in healthy subjects aged 50–70 at rest and during lower limb exercise: in vivo quantification using MRI. Atherosclerosis, 2003. 168(2): p. 323-331. http://dx.doi.org/10.1016/s0021-9150(03)00099-6
  • Larsson, E., et al., Analysis of aortic wall stress and rupture risk in patients with abdominal aortic aneurysm with a gender perspective. J Vasc Surg, 2011. 54(2): p. 295-299 . https://doi.org/10.1016/j.jvs.2010.12.053
  • Samarth, S.R., et al., Biological, Geometric and Biomechanical Factors Influencing Abdominal Aortic Aneurysm Rupture Risk: A Comprehensive Review. Recent Patents on Medical Imaging (Discontinued), 2013. 3(1): p. 44-59. https://doi.org/10.2174/1877613211303010006
  • Sonesson, B., T. Sandgren, and T. La¨ nne, Abdominal Aortic Aneurysm Wall Mechanics and their Relation to Risk of Rupture. Eur J Vasc Endovasc Surg, 1999. 18: p. 487-493. https://doi.org/10.1053/ejvs.1999.0872.
  • Piechota-Polanczyk, A., et al., The Abdominal Aortic Aneurysm and Intraluminal Thrombus: Current Concepts of Development and Treatment. Frontiers in Cardiovascular Medicine, 2015. 2. https://doi.org/10.3389/fcvm.2015.00019
  • Moll, F.L., et al., Management of abdominal aortic aneurysms clinical practice guidelines of the European society for vascular surgery. Eur J Vasc Endovasc Surg, 2011. 41 Suppl 1: p. S1-S58. https://doi.org/10.1016/s1078-5884(10)00618-0
  • Imray, C., Managing an abdominal aortic aneurysm. Practical cardiovascular risk management. 2006. 4(2): p. 9-11.
  • Brown, P.M., D.T. Zelt, and B. Sobolev, The risk of rupture in untreated aneurysms: the impact of size, gender, and expansion rate. J Vasc Surg, 2003. 37(2): p. 280-284. https://doi.org/10.1067/mva.2003.119
  • Collin, J., UK small aneurysms trial. The Lancet, 1999. 353(9150): p. 407-408. https://doi.org/10.1016/s0140-6736(05)74979-5.
  • Nicholls, S.C., et al., Rupture in small abdominal aortic aneurysms. J Vasc Surg, 1998. 28(5): p. 884-888. https://doi.org/10.1016/s0741-5214(98)70065-5.
  • Thubrikar, M.J., J. Al-Soudi, and F. Robicsek, Wall stress studies of abdominal aortic aneurysm in a clinical model. Ann Vasc Surg, 2001. 15(3): p. 355-366. https://doi.org/10.1007/s100160010080.
  • Kok, A.M., et al., Feasibility of wall stress analysis of abdominal aortic aneurysms using three-dimensional ultrasound. J Vasc Surg, 2015. 61(5): p. 1175-1184. https://doi.org/10.1016/j.jvs.2014.12.043.
  • Erhart, P., et al., Finite Element Analysis in Asymptomatic, Symptomatic, and Ruptured Abdominal Aortic Aneurysms: In Search of New Rupture Risk Predictors. European Journal of Vascular and Endovascular Surgery, 2015. 49(3): p. 239-245. https://doi.org/10.1016/j.ejvs.2014.11.010.
  • Taylor, C.A., T.J.R. Hughes, and C.K. Zarins, Finite Element Modeling of Three-Dimensional Pulsatile Flow in the Abdominal Aorta: Relevance to Atherosclerosis. Annals of Biomedical Engineering, 1998. 26(6): p. 975-987. https://doi.org/10.1114/1.140.
  • Raghavan, M.L., et al., Wall stress distribution on three-dimensionally reconstructed models of human abdominal aortic aneurysm. J Vasc Surg, 2000. 31(4): p. 760-769. https://doi.org/10.1067/mva.2000.103971.
  • Li, Z. and C. Kleinstreuer, Effects of blood flow and vessel geometry on wall stress and rupture risk of abdominal aortic aneurysms. Journal of Medical Engineering & Technology, 2006. 30(5): p. 283-297. https://doi.org/10.1080/03091900500217406.
  • Younis, H.F., et al., Hemodynamics and wall mechanics in human carotid bifurcation and its consequences for atherogenesis: investigation of inter-individual variation. Biomech Model Mechanobiol, 2004. 3(1): p. 17-32. https://doi.org/10.1007/s10237-004-0046-7.
  • Finol, E.A. and C.H. Amon, Flow-induced wall shear stress in abdominal aortic aneurysms: Part I--steady flow hemodynamics. Comput Methods Biomech Biomed Engin, 2002. 5(4): p. 309-318. https://doi.org/10.1080/1025584021000009742
  • Owen, B., et al., Computational hemodynamics of abdominal aortic aneurysms: Three-dimensional ultrasound versus computed tomography. Proc Inst Mech Eng H, 2016. 230(3): p. 201-210. https://doi.org/10.1177/0954411915626742.
  • Leung, J.H., et al., Fluid structure interaction of patient specific abdominal aortic aneurysms: a comparison with solid stress models. Biomed Eng Online, 2006. 5: p. 33-33. https://doi.org/10.1186/1475-925x-5-33.
  • Scotti, C.M., et al., Fluid-structure interaction in abdominal aortic aneurysms: effects of asymmetry and wall thickness. Biomed Eng Online, 2005. 4: p. 64-64. https://doi.org/10.1186/1475-925x-4-64.
  • Hoskins, P.R., et al., Fluid–structure interaction in axially symmetric models of abdominal aortic aneurysms. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 2009. 223(2): p. 195-209. https://doi.org/10.1243/09544119jeim443.
  • Gao, F., O. Ohta, and T. Matsuzawa, Fluid-structure interaction in layered aortic arch aneurysm model: assessing the combined influence of arch aneurysm and wall stiffness. Australasian Physics & Engineering Sciences in Medicine, 2008. 31(1): p. 32. https://doi.org/10.1007/bf03178451.
  • Erhart, P., et al., Prediction of Rupture Sites in Abdominal Aortic Aneurysms After Finite Element Analysis. Journal of Endovascular Therapy, 2015. 23(1): p. 115-120. https://doi.org/10.1177/1526602815612196.
  • Venkatasubramaniam, A.K., et al., A comparative study of aortic wall stress using finite element analysis for ruptured and non-ruptured abdominal aortic aneurysms. Eur J Vasc Endovasc Surg, 2004. 28(2): p. 168-176. https://doi.org/10.1016/s1078-5884(04)00178-9.
  • Vande Geest, J.P., et al., A biomechanics-based rupture potential index for abdominal aortic aneurysm risk assessment. Ann N Y Acad Sci, 2006. 1085: p. 11-21. https://doi.org/10.1196/annals.1383.046.
  • Maier, A., et al., A comparison of diameter, wall stress, and rupture potential index for abdominal aortic aneurysm rupture risk prediction. Ann Biomed Eng, 2010. 38(10): p. 3124-3134. https://doi.org/10.1007/s10439-010-0067-6.
  • Vande Geest, J.P., et al., Towards A Noninvasive Method for Determination of Patient-Specific Wall Strength Distribution in Abdominal Aortic Aneurysms. Annals of Biomedical Engineering, 2006. 34(7): p. 1098-1106. https://doi.org/10.1007/s10439-006-9132-6.
  • Doyle, B.J., et al. A Finite Element Analysis Rupture Index (FEARI) Assessment of Electively Repaired and Symptomatic/Ruptured Abdominal Aortic Aneurysms. in 6th World Congress of Biomechanics (WCB 2010). August 1-6, 2010 Singapore. 2010. Berlin, Heidelberg: Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-14515-5_225.
  • Raghavan, M.L., et al., Regional distribution of wall thickness and failure properties of human abdominal aortic aneurysm. J Biomech, 2006. 39(16): p. 3010-3016. https://doi.org/10.1016/j.jbiomech.2005.10.021.
  • Thubrikar, M.J., et al., Mechanical properties of abdominal aortic aneurysm wall. Journal of Medical Engineering & Technology, 2001. 25(4): p. 133-142. https://doi.org/10.1080/03091900110057806.
  • Mcgloughlin, T.M., et al., A Finite Element Analysis Rupture Index (FEARI) as an Additional Tool for Abdominal Aortic Aneurysm Rupture Prediction. Vascular Disease Prevention, 2009. 9: p. 114-121. https://doi.org/10.2174/1567270000906010114.
  • Du, Z.-Z. eXtended Finite Element Method (XFEM) in Abaqus. 2009 [cited 2016 10th of March]; Available from: http://www.simulia.com/download/rum11/UK/Advanced-XFEM-Analysis.pdf
  • ImFusion suite. 2015, ImFusion GmbH: München, Germany.
  • ABAQUS. 2016, Simulia, Dassault Systèmes: UK.
  • Raghavan, M.L. and D.A. Vorp, Toward a biomechanical tool to evaluate rupture potential of abdominal aortic aneurysm: identification of a finite strain constitutive model and evaluation of its applicability. Journal of biomechanics, 2000. 33(4): p. 475-482. https://doi.org/10.1016/s0021-9290(99)00201-8.
  • Fillinger, M.F., et al., Prediction of rupture risk in abdominal aortic aneurysm during observation: wall stress versus diameter. J Vasc Surg, 2003. 37(4): p. 724-732. https://doi.org/10.1067/mva.2003.213.
  • Papaharilaou, Y., et al., A decoupled fluid structure approach for estimating wall stress in abdominal aortic aneurysms. Journal of Biomechanics, 2007. 40(2): p. 367-377. https://doi.org/10.1016/j.jbiomech.2005.12.013.
  • Di Martino, E.S., et al., Fluid–structure interaction within realistic three-dimensional models of the aneurysmatic aorta as a guidance to assess the risk of rupture of the aneurysm. Medical Engineering & Physics, 2001. 23(9): p. 647-655. https://doi.org/10.1016/s1350-4533(01)00093-5.
  • Kobielarz, M. and L. Jankowski, Experimental characterization of the mechanical properties of the abdominal aortic aneurysm wall under uniaxial tension. Vol. 51. 2013. 949-958.
  • Dassault Systèmes, S.A.C.A.E. Analysis user’s manual volume number ii, analysis procedures, solution, and control. 2016.
  • Natarajan, S., D. RoyMahapatra, and S.P.A. Bordas, A simple integration technique for strong and weak discontinuities in GFEM/XFEM. Int. J. Numer. Meth. Engng, 2009. https://doi.org/10.1002/nme.2798.
  • Singh, K., K. Keswani, and M. Vaggar, Crack growth simulation of stiffened fuselage panels using XFEM techniques. Vol. 21. 2014. 418-428.
  • Georgakarakos, E., et al., The influence of intraluminal thrombus on abdominal aortic aneurysm wall stress. International Union of Angiology, 2009. 28(4): p. 325-333.
  • Wang, D.H., et al., Effect of intraluminal thrombus on wall stress in patient-specific models of abdominal aortic aneurysm. J Vasc Surg, 2002. 36(3): p. 598-604. https://doi.org/10.1067/mva.2002.126087.
  • Inzoli, F., et al., Biomechanical Factors in Abdominal Aortic Aneurysm Rupture. Eur J Vasc Surg, 1993. 7: p. 667-667. https://doi.org/10.1016/s0950-821x(05)80714-5.
  • Bluestein, D., et al., Steady Flow in an Aneurysm Model: Correlation Between Fluid Dynamics and Blood Platelet Deposition. Journal of Biomechanical Engineering, 1996. 118(3): p. 280-286. https://doi.org/10.1115/1.2796008.
  • Wolters, B.J.B.M., et al., A patient-specific computational model of fluid–structure interaction in abdominal aortic aneurysms. Med Eng Phys, 2005. 27(10): p. 871-883. https://doi.org/10.1016/j.medengphy.2005.06.008.
  • Vande Geest, J.P., M.S. Sacks, and D.A. Vorp, The effects of aneurysm on the biaxial mechanical behavior of human abdominal aorta. J Biomech, 2006. 39(7): p. 1324-1334. https://doi.org/10.1016/j.jbiomech.2005.03.003.
  • De Putter, S., et al., Patient-specific initial wall stress in abdominal aortic aneurysms with a backward incremental method. Journal of Biomechanics, 2007. 40(5): p. 1081-1090. https://doi.org/10.1016/j.jbiomech.2006.04.019.
  • Lederle, F.A., et al., Prevalence and associations of abdominal aortic aneurysm detected through screening. Annals of Internal Medicine, 1997. 126(6): p. 441-449. https://doi.org/10.7326/0003-4819-126-6-199703150-00004.
  • Doyle, B.J., et al., An Experimental and Numerical Comparison of the Rupture Locations of an Abdominal Aortic Aneurysm. Journal of Endovascular Therapy, 2009. 16(3): p. 322-335. https://doi.org/10.1583/09-2697.1.
  • Doyle, B.J., et al., Experimental modelling of aortic aneurysms: novel applications of silicone rubbers. Med Eng Phys, 2009. 31(8): p. 1002-1012. https://doi.org/10.1016/j.medengphy.2009.06.002.
  • Doyle, B.J., et al., 3D Reconstruction and Manufacture of Real Abdominal Aortic Aneurysms: From CT Scan to Silicone Model. Journal of Biomechanical Engineering, 2008. 130(3): p. 034501-5. https://doi.org/10.1115/1.2907765.
  • Doyle , B.J., et al., The use of silicone materials to model abdominal aortic aneurysm behaviour., in SPE 1st European Conference on Medical Polymers. 2008: Northern Ireland, Belfast.
  • Doyle, B.J., et al., Identification of rupture locations in patient-specific abdominal aortic aneurysms using experimental and computational techniques. J Biomech, 2010. 43(7): p. 1408-1416. https://doi.org/10.1016/j.jbiomech.2009.09.057.
  • Vorp, D.A., M.L. Raghavan, and M.W. Webster, Mechanical wall stress in abdominal aortic aneurysm: Influence of diameter and asymmetry. Journal of Vascular Surgery, 1998. 27(4): p. 632-639. https://doi.org/10.1016/s0741-5214(98)70227-7.
  • Scotti, C.M., et al., Wall stress and flow dynamics in abdominal aortic aneurysms: finite element analysis vs. fluid-structure interaction. Comput Methods Biomech Biomed Engin, 2008. 11(3): p. 301-322. https://doi.org/10.1080/10255840701827412.
  • Georgakarakos, E., et al., The role of geometric parameters in the prediction of abdominal aortic aneurysm wall stress. Eur J Vasc Endovasc Surg, 2010. 39(1): p. 42-48. https://doi.org/10.1016/j.ejvs.2009.09.026.
  • Doyle , B.J., et al., Regions of High Wall Stress Can Predict the Future Location of Rupture of Abdominal Aortic Aneurysm. Cardiovasc Intervent Radiol, 2014. 37(3): p. 815-818. https://doi.org/10.1007/s00270-014-0864-7.
  • Georgakarakos, E., et al., Peak wall stress does not necessarily predict the location of rupture in abdominal aortic aneurysms. Eur J Vasc Endovasc Surg, 2010. 39(3): p. 302-304. https://doi.org/10.1016/j.ejvs.2009.11.021.
  • Helderman, F., et al., A numerical model to predict abdominal aortic aneurysm expansion based on local wall stress and stiffness. Med Biol Eng Comput, 2008. 46(11): p. 1121-1127. https://doi.org/10.1007/s11517-008-0358-3.
  • Zelaya, J.E., et al., Improving the Efficiency of Abdominal Aortic Aneurysm Wall Stress Computations. PLoS ONE, 2014. 9(7): p. e101353. https://doi.org/10.1371/journal.pone.0101353.
  • Raut, S.S., et al., The role of geometric and biomechanical factors in abdominal aortic aneurysm rupture risk assessment. Ann Biomed Eng, 2013. 41(7): p. 1459-1477. https://doi.org/10.1007/s10439-013-0786-6.
  • Vardulaki, K.A., et al., Quantifying the risks of hypertension, age, sex and smoking in patients with abdominal aortic aneurysm. British Journal of surgery, 2000. 87: p. 195-200. https://doi.org/10.1046/j.1365-2168.2000.01353.x.
  • Doyle , B.J., et al., From Detection to Rupture: A Serial Computational Fluid Dynamics Case Study of a Rapidly Expanding, Patient-Specific, Ruptured Abdominal Aortic Aneurysm., in Computational Biomechanics for Medicine, M.K. Doyle B., Wittek A., Nielsen P., Editor. 2014, Springer: New York, NY. https://doi.org/10.1007/978-1-4939-0745-8_5.
  • Maier, A., et al. Impact of Model Complexity on Patient Specific Wall Stress Analyses of Abdominal Aortic Aneurysms. in World Congress on Medical Physics and Biomedical Engineering, September 7 - 12, 2009, Munich, Germany. 2010. Berlin, Heidelberg: Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-03882-2_135.
  • Reeps, C., et al., The impact of model assumptions on results of computational mechanics in abdominal aortic aneurysm. J Vasc Surg, 2010. 51(3): p. 679-688. https://doi.org/10.1016/j.jvs.2009.10.048.
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