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The Association Between Geometry and Wall Stress in Emergently Repaired Abdominal Aortic Aneurysms

Abstract

Abdominal aortic aneurysm (AAA) is a prevalent cardiovascular disease characterized by the focal dilation of the aorta, which supplies blood to all the organs and tissues in the systemic circulation. With the AAA increasing in diameter over time, the risk of aneurysm rupture is generally associated with the size of the aneurysm. If diagnosed on time, intervention is recommended to prevent AAA rupture. The criterion to decide on surgical intervention is determined by measuring the maximum diameter of the aneurysm relative to the critical value of 5.5 cm. However, a more reliable approach could be based on understanding the biomechanical behavior of the aneurysmal wall. In addition, geometric features that are proven to be significant predictors of the AAA wall mechanics could be used as surrogates of the AAA biomechanical behavior and, subsequently, of the aneurysm’s risk of rupture. The aim of this work is to identify those geometric indices that have a high correlation with AAA wall stress in the population of patients who received an emergent repair of their aneurysm. In-house segmentation and meshing algorithms were used to model 75 AAAs followed by estimation of the spatially distributed wall stress by performing finite element analysis. Fifty-two shape and size geometric indices were calculated for the same models using MATLAB scripting. Hypotheses testing were carried out to identify the indices significantly correlated with wall stress by constructing a Pearson’s correlation coefficient matrix. The analyses revealed that 12 indices displayed high correlation with the wall stress, amongst which wall thickness and curvature-based indices exhibited the highest correlations. Stepwise regression analysis of these correlated indices indicated that wall stress can be predicted by the following four indices with an accuracy of 76%: maximum aneurysm diameter, aneurysm sac length, average wall thickness at the maximum diameter cross-section, and the median of the wall thickness variance. The primary outcome of this work emphasizes the use of global measures of size and wall thickness as geometric surrogates of wall stress for emergently repaired AAAs.

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Acknowledgments

The authors have no conflicts of interest to disclose and would like to acknowledge research funding from National Institutes of Health Award R01HL121293 and American Heart Association Award 15PRE25700288. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health or the American Heart Association.

Author information Authors and Affiliations
  1. UTSA/UTHSCSA Joint Graduate Program in Biomedical Engineering, University of Texas at San Antonio, San Antonio, TX, USA

    Sathyajeeth S. Chauhan, Carlos A. Gutierrez, Mirunalini Thirugnanasambandam & Ender A. Finol

  2. Department of Management Science and Statistics, University of Texas at San Antonio, San Antonio, TX, USA

    Victor De Oliveira

  3. Department of Thoracic & Cardiovascular Surgery, Allegheny General Hospital, Allegheny Health Network, Pittsburgh, PA, USA

    Satish C. Muluk

  4. Division of Vascular Surgery and Department of Radiology, Northwestern Memorial Hospital, Feinberg School of Medicine, Northwestern University, Chicago, IL, USA

    Mark K. Eskandari

  5. Department of Mechanical Engineering, University of Texas at San Antonio, One UTSA Circle, EB 3.04.23, San Antonio, TX, 78249, USA

    Ender A. Finol

Authors
  1. Sathyajeeth S. Chauhan
  2. Carlos A. Gutierrez
  3. Mirunalini Thirugnanasambandam
  4. Victor De Oliveira
  5. Satish C. Muluk
  6. Mark K. Eskandari
  7. Ender A. Finol
Corresponding author

Correspondence to Ender A. Finol.

Additional information

Associate Editor Estefanía Peña oversaw the review of this article.

Electronic supplementary material

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About this article Cite this article

Chauhan, S.S., Gutierrez, C.A., Thirugnanasambandam, M. et al. The Association Between Geometry and Wall Stress in Emergently Repaired Abdominal Aortic Aneurysms. Ann Biomed Eng 45, 1908–1916 (2017). https://doi.org/10.1007/s10439-017-1837-1

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