Abstract
Abdominal aortic aneurysm (AAA) is a permanent and irreversible dilation of the lower region of the aorta. It is an asymptomatic condition which if left untreated can expand to the point of rupture. Rupture of an artery will occur when the local wall stress exceeds the local wall strength. Therefore, estimation of a patient’s AAA wall stress non-invasively, quickly, and reliably is desirable. One solution to this problem is to use recently-published methods to compute AAA wall stress, using geometry from CT scans, and median arterial pressure as the load. Our method is embedded in the software platform BioPARR—Biomechanics based Prediction of Aneurysm Rupture Risk, freely available from http://bioparr.mech.uwa.edu.au/. Experience with over 50 patient-specific stress analyses, as well as common sense, suggests that the AAA wall stress is critically dependent on the local AAA wall thickness. This thickness is currently very difficult to measure in the clinical environment. Therefore, we conducted a simulation study to elucidate the relationship between the wall thickness and the maximum principal stress. The results of the analysis of three cases presented here unequivocally demonstrate that this relationship is approximately linear, bringing us closer to being able to compute predictive stress envelopes for every patient.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
We are indebted to Dr. Johann Drexl from Fraunhofer MEVIS for his comments on the results.
References
Bosch JL et al (2002) Abdominal aortic aneurysms: cost-effectiveness of elective endovascular and open surgical repair. Radiology 225(2):337–344
Norman PE et al (2004) Population based randomised controlled trial on impact of screening on mortality from abdominal aortic aneurysm. BMJ 329(7477):1259
Singh K et al (2001) Prevalence of and risk factors for abdominal aortic aneurysms in a population-based study: the Tromsø study. Am J Epidemiol 154(3):236–244
Bengtsson H, Bergqvist D (1993) Ruptured abdominal aortic aneurysm: a population-based study. J Vasc Surg 18(1):74–80
Kantonen I et al (1999) Mortality in ruptured abdominal aortic aneurysms. Eur J Vasc Endovasc Surg 17(3):208–212
Evans SM, Adam DJ, Bradbury AW (2000) The influence of gender on outcome after ruptured abdominal aortic aneurysm. J Vasc Surg 32(2):258–262
Darling RC et al (1977) Autopsy study of unoperated abdominal aortic aneurysms. The case for early resection. Circulation 56:161–164
Greenhalgh RM (2004) Comparison of endovascular aneurysm repair with open repair in patients with abdominal aortic aneurysm (EVAR trial 1), 30-day operative mortality results: randomised controlled trial. Lancet 364(9437):843–848
McGloughlin TM, Doyle BJ (2010) New approaches to abdominal aortic aneurysm rupture risk assessment: engineering insights with clinical gain. Arterioscler Thromb Vasc Biol 30(9):1687–1694
Vande Geest JP et al (2006) A biomechanics-based rupture potential index for abdominal aortic aneurysm risk assessment: demonstrative application. Ann N Y Acad Sci 1085:11–21
Gasser TC et al (2010) Biomechanical rupture risk assessment of abdominal aortic aneurysms: model complexity versus predictability of finite element simulations. Eur J Vasc Endovasc Surg 40(2):176–185
Gasser TC et al (2014) A novel strategy to translate the biomechanical rupture risk of abdominal aortic aneurysms to their equivalent diameter risk: method and retrospective validation. Eur J Vasc Endovasc Surg 47(3):288–295
Joldes GR et al (2016) A simple, effective and clinically applicable method to compute abdominal aortic aneurysm wall stress. J Mech Behav Biomed Mater 58:139–148
Zelaya JE et al (2014) Improving the efficiency of abdominal aortic aneurysm wall stress computations. PLoS One 9(7):e101353
Raghavan M et al (2000) Wall stress distribution on three-dimensionally reconstructed models of human abdominal aortic aneurysm. J Vasc Surg 31:760–769
Doyle B, Callanan A, McGloughlin T (2007) A comparison of modelling techniques for computing wall stress in abdominal aortic aneurysms. Biomed Eng Online 6(1):38
Li ZY et al (2010) Association between aneurysm shoulder stress and abdominal aortic aneurysm expansion: a longitudinal follow-up study. Circulation 122(18):1815–1822
Fung YC (1991) What are the residual stresses doing in our blood vesssels? Ann Biomed Eng 19:237–249
Miller K, Lu J (2013) On the prospect of patient-specific biomechanics without patient-specific properties of tissues. J Mech Behav Biomed Mater 27:154–166
Calvetti D, Kaipio JP, Somersalo E (2014) Inverse problems in the Bayesian framework. Inverse Prob 30(11):110301
Zhu C et al (2016) Isotropic 3D black blood MRI of abdominal aortic aneurysm wall and intraluminal thrombus. Magn Reson Imaging 34(1):18–25
McBride OMB et al (2015) MRI using ultrasmall superparamagnetic particles of iron oxide in patients under surveillance for abdominal aortic aneurysms to predict rupture or surgical repair: MRI for abdominal aortic aneurysms to predict rupture or surgery—the MA3RS study. Open Heart 2(1):e000190
Fedorov A et al (2012) 3D Slicer as an image computing platform for the Quantitative Imaging Network. Magn Reson Imaging 30(9):1323–1341
Zhu L et al (2014) An effective interactive medical image segmentation method using fast growcut. In: International conference on medical image computing and computer assisted intervention (MICCAI), interactive medical image computing workshop, Boston, USA
Geuzaine C, Remacle J-F (2016) Gmsh - a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. http://gmsh.info/. 03 Mar 2016
Geuzaine C, Remacle J-F (2009) Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int J Numer Methods Eng 79(11):1309–1331
ABAQUS (2009) ABAQUS theory manual version 6.9. Dassault Systèmes Simulia, Providence, RI
Wittek A, Hawkins T, Miller K (2009) On the unimportance of constitutive models in computing brain deformation for image-guided surgery. Biomech Model Mechanobiol 8(1):77–84
Taylor Z, Miller K (2005) Using numerical approximation as an intermediate step in analytical derivations: some observations from biomechanics. J Biomech 38(12):2497–2502
Acknowledgments
The financial support of the National Health and Medical Research Council (Grant No. APP1063986) is gratefully acknowledged. We wish to acknowledge the Raine Medical Research Foundation for funding G. R. Joldes through a Raine Priming Grant, and the Department of Health, Western Australia, for funding G. R. Joldes through a Merit Award. The AAA data has been obtained from the MA3RS study [22].
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Miller, K. et al. (2019). Maximum Principal AAA Wall Stress Is Proportional to Wall Thickness. In: Nielsen, P., Wittek, A., Miller, K., Doyle, B., Joldes, G., Nash, M. (eds) Computational Biomechanics for Medicine. Springer, Cham. https://doi.org/10.1007/978-3-319-75589-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-75589-2_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-75588-5
Online ISBN: 978-3-319-75589-2
eBook Packages: EngineeringEngineering (R0)