Feasibility of wall stress analysis of abdominal aortic aneurysms using three- dimensional ultrasound  Annette M. Kok, MSc, V. Lai Nguyen, MD, Lambert.

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Feasibility of wall stress analysis of abdominal aortic aneurysms using three- dimensional ultrasound  Annette M. Kok, MSc, V. Lai Nguyen, MD, Lambert Speelman, PhD, MSc, Peter J. Brands, PhD, MSc, Geert-Willem H. Schurink, PhD, MD, Frans N. van de Vosse, PhD, MSc, Richard G.P. Lopata, PhD, MSc  Journal of Vascular Surgery  Volume 61, Issue 5, Pages 1175-1184 (May 2015) DOI: 10.1016/j.jvs.2014.12.043 Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 1 Example of ultrasound (US)-based geometry and finite element mesh of an abdominal aortic aneurysm (AAA). A, A longitudinal cross section of the three-dimensional (3D) US data set is shown with three different transverse cross sections (red dashed lines) corresponding to the images shown in B, C, and D. The manual segmentation of the lumen is shown (blue dashed lines). All contours after regularization (E) and the resulting finite element volume mesh (F) are shown. Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 2 The manual, up-sampled lumen segmentation obtained in three-dimensional (3D) ultrasound (US) data in Cartesian coordinates (A) and polar coordinates (B). The contours were regularized (C) and were converted back to the Cartesian domain (D). Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 3 Example of computed tomography (CT)-based geometry and finite element mesh of an abdominal aortic aneurysm (AAA). A, A longitudinal cross section of the three-dimensional (3D) CT data set is shown with three different transverse cross sections (red dashed lines) corresponding to the images shown in B, C, and D. The automatic segmentation of the lumen after processing in 3-Matic is indicated (blue dashed lines). All contours after processing in 3-Matic (E) and the resulting finite element volume mesh (F) are shown. Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 4 Segmentation obtained from computed tomography (CT) data (blue) and ultrasound (US) data (red) after registration, revealing a good similarity (A) and a lower level of similarity (B). SI, Similarity index. Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 5 Box-and-whiskers plots of the Hausdorff distance (HD) for all abdominal aortic aneurysms (AAAs, n = 12). Each AAA was divided in five equidistant areas in longitudinal direction from the proximal to the distal side of the AAA. Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 6 Wall stress images of abdominal aortic aneurysms (AAAs) for the resulting eight patients (A-H). For each AAA, the computed tomography (CT)-based wall stress (left) and ultrasound (US)-based wall stress (right) are shown. The dashed lines are added to indicate the region in the CT results that corresponds to the US-based wall stress data. Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 7 A, Median wall stress based on three-dimensional (3D) ultrasound (US) data vs computed tomography (CT) data for all patients. The median wall stress was calculated for corresponding, registered slices with a thickness of 1 cm (circles). The line of equality is added for visualization purposes (solid line). B, Bland-Altman plot comparing the differences in median wall stress between US and CT. The bias (15 kPa) and the limits of agreement are indicated (solid lines). Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions

Fig 8 Comparison of the 25th, 50th, 75th, 95th, and 99th percentile wall stresses calculated for the entire geometry, as obtained with computed tomography (CT) and three-dimensional (3D) ultrasound (US). The line of equality was added as a visual aid (solid line). Journal of Vascular Surgery 2015 61, 1175-1184DOI: (10.1016/j.jvs.2014.12.043) Copyright © 2015 Society for Vascular Surgery Terms and Conditions