Abstract
Precise description of vascular morphometry is crucial to support medical device manufacturers and clinicians for improving device development and interventional outcomes. A compact and intuitive method is presented to automatically characterize the surface geometry of tubular anatomic structures and quantify surface curvatures starting from generic stereolithographic (STL) surfaces. The method was validated with software phantoms and used to quantify the longitudinal surface curvatures of 37 human thoracic aortas with aneurysm or dissection. The quantification of surface curvatures showed good agreement with analytic solutions from the software phantoms, and demonstrated better agreement as compared to estimation methods using only centerline geometry and cross-sectional radii. For the human thoracic aortas, longitudinal inner surface curvature was significantly higher than centerline curvature (0.33 ± 0.06 versus 0.16 ± 0.02 cm−1 for mean; 1.38 ± 0.48 versus 0.45 ± 0.11 cm−1 for peak; both p < 0.001). These findings show the importance of quantifying surface curvatures in order to better describe the geometry and biomechanical behavior of the thoracic aorta, which can assist in treatment planning and supplying device manufactures with more precise boundary conditions for mechanical evaluation.
Issue Section:
Research Papers
References
1.
Brady
,
A. R.
,
Thompson
,
S. G.
,
Fowkes
,
G. R.
,
Greenhalgh
,
R. M.
, and
Powell
,
J. T.
, 2004
, “
Abdominal Aortic Aneurysm Expansion: Risk Factors and Time Intervals for Surveillance
,” Circulation
,
110
(1
), pp. 16
–21
.10.1161/01.CIR.0000133279.07468.9F2.
Nomura
,
Y.
,
Sugimoto
,
K.
,
Gotake
,
Y.
,
Yamanaka
,
K.
,
Sakamoto
,
T.
,
Muradi
,
A.
,
Okada
,
T.
,
Yamaguchi
,
M.
, and
Okita
,
Y.
, 2015
, “
Comparison of Volumetric and Diametric Analysis in Endovascular Repair of Descending Thoracic Aortic Aneurysm
,” Eur. J. Vasc. Endovascular Surg.
,
50
(1
), pp. 53
–59
.10.1016/j.ejvs.2015.02.0213.
Shum
,
J.
,
Martufi
,
G.
,
Di Martino
,
E.
,
Washington
,
C. B.
,
Grisafi
,
J.
,
Muluk
,
S. C.
, and
Finol
,
E. A.
, 2011
, “
Quantitative Assessment of Abdominal Aortic Aneurysm Geometry
,” Ann. Biomed. Eng.
,
39
(1
), pp. 277
–286
.10.1007/s10439-010-0175-34.
Vorp
,
D. A.
,
Raghavan
,
M. L.
, and
Webster
,
M. W.
, 1998
, “
Mechanical Wall Stress in Abdominal Aortic Aneurysm: Influence of Diameter and Asymmetry
,” J. Vasc. Surg.
,
27
(4
), pp. 632
–639
.10.1016/S0741-5214(98)70227-75.
Cheng
,
C. P.
,
Choi
,
C.
,
Herfkens
,
R. J.
, and
Taylor
,
C. A.
, 2010
, “
The Effect of Aging on Deformations of the Superficial Femoral Artery Due to Hip and Knee Flexion: Potential Clinical Implications
,” J. Vasc. Interventional Radiol.
,
21
(2
), pp. 195
–202
.10.1016/j.jvir.2009.08.0276.
Chinikar
,
M.
, and
Sadeghipour
,
P.
, 2014
, “
Coronary Stent Fracture: A Recently Appreciated Phenomenon With Clinical Relevance
,” Curr. Cardiol. Rev.
,
10
(4
), pp. 349
–352
.10.2174/1573403X106661404041059237.
Nikanorov
,
A.
,
Smouse
,
H. B.
,
Osman
,
K.
,
Bialas
,
M.
,
Shrivastava
,
S.
, and
Schwartz
,
L. B.
, 2008
, “
Fracture of Self-Expanding Nitinol Stents Stressed In Vitro Under Stimulated Intravascular Conditions
,” J. Vasc. Surg.
,
48
(2
), pp. 435
–440
.10.1016/j.jvs.2008.02.0298.
Robertson
,
S. W.
,
Cheng
,
C. P.
, and
Razavi
,
M. K.
, 2008
, “
Biomechanical Response of Stented Carotid Arteries Swallowing and Neck Motion
,” J. Endovascular Ther.
,
15
(6
), pp. 663
–671
.10.1583/08-2528.19.
Ueda
,
T.
,
Takaoka
,
H.
,
Petrovitch
,
I.
, and
Rubin
,
G. D.
, 2014
, “
Detection of Broken Sutures and Metal Ring Fractures in AneuRx Stent-Grafts by Using Three-Dimensional CT Angiography After Endovascular Abdominal Aortic Aneurysm Repair: Association With Late Endoleak Development and Device Migration
,” Radiology
,
272
(1
), pp. 275
–283
.10.1148/radiol.1413092010.
Fata
,
B.
,
Gottlieb
,
D.
,
Mayer
,
J. E.
, and
Sacks
,
M. S.
, 2013
, “
Estimated In Vivo Postnatal Surface Growth Patterns of the Ovine Main Pulmonary Artery and Ascending Aorta
,” ASME J. Biomech. Eng.
,
135
(7
), p. 071010
.10.1115/1.402461911.
Smith
,
D. B.
,
Sacks
,
M. S.
,
Vorp
,
D. A.
, and
Thornton
,
M.
, 2000
, “
Surface Geometric Analysis of Anatomic Structures Using Biquintic Finite Element Interpolation
,” Ann. Biomed. Eng.
,
28
(6
), pp. 598
–611
.10.1114/1.130634212.
Lundh
,
T.
,
Suh
,
G.-Y.
,
Digiacomo
,
P.
, and
Cheng
,
C. P.
, 2018
, “
A Lagrangian Cylindrical Coordinate System for Characterizing Dynamic Surface Geometry of Tubular Anatomic Structures
,” Med. Biol. Eng. Comput.
,
56
(9
), pp. 1659
–1668
.10.1007/s11517-018-1801-813.
Cheng
,
C. P.
,
Zhu
,
Y. D.
, and
Suh
,
G.-Y.
, 2018
, “
Optimization of Three-Dimensional Modeling for Geometric Precision and Efficiency for Healthy and Diseased Aortas
,” Comput. Methods Biomech. Biomed. Eng.
,
21
(1
), pp. 65
–74
.10.1080/10255842.2017.142329114.
Wilson
,
N.
,
Wang
,
K.
,
Dutton
,
R. W.
, and
Taylor
,
C. A.
, 2001
, “
A Software Framework for Creating Patient Specific Geometric Models From Medical Imaging Data for Simulation Based Medical Planning of Vascular Surgery
,” Lect. Notes Comput. Sci.
,
2208
, pp. 449
–456
.10.1007/3-540-45468-315.
Choi
,
G.
,
Cheng
,
C. P.
,
Wilson
,
N. M.
, and
Taylor
,
C. A.
, 2009
, “
Methods for Quantifying Three-Dimensional Deformation of Arteries Due to Pulsatile and Nonpulsatile Forces: Implications for the Design of Stents and Stent Grafts
,” Ann. Biomed. Eng.
,
37
(1
), pp. 14
–33
.10.1007/s10439-008-9590-016.
Farouki
,
R. T.
, and
Neff
,
C. A.
, 1990
, “
Analytic Properties of Plane Offset Curves
,” Comput. Aided Geom. Des.
,
7
(1–4
), pp. 83
–99
.10.1016/0167-8396(90)90023-K17.
Suh
,
G.-Y.
,
Beygui
,
R. E.
,
Fleischmann
,
D.
, and
Cheng
,
C. P.
, 2014
, “
Aortic Arc Vessel Geometries and Deformations in Patients With Thoracic Aortic Aneurysms and Dissections
,” J. Vasc. Interventional Radiol.
,
25
(12
), pp. 1903
–1911
.10.1016/j.jvir.2014.06.01218.
Ullery
,
B. W.
,
Suh
,
G.-Y.
,
Hirotsu
,
K.
,
Zhu
,
D.
,
Lee
,
J. T.
,
Dake
,
M. D.
,
Fleischmann
,
D.
, and
Cheng
,
C. P.
, 2018
, “
Geometric Deformations of the Thoracic Aorta and Supra-Aortic Arch Branch Vessels Following Thoracic Endovascular Aortic Repair
,” Vasc. Endovascular Surg.
,
52
(3
), pp. 173
–180
.10.1177/153857441775345219.
Holm
,
S.
, 1979
, “
A Simple Sequentially Rejective Multiple Test Procedure
,” Scand. J. Stat.
,
6
(2
), pp. 65
–70
.10.2307/461573320.
de Galarreta
,
S. R.
,
Cazon
,
A.
,
Anton
,
R.
, and
Finol
,
E. A.
, 2017
, “
The Relationship Between Surface Curvature and Abdominal Aortic Aneurysm Wall Stress
,” ASME J. Biomech. Eng.
,
139
(8
), p. 081006
.10.1115/1.403682621.
Lee
,
K.
,
Zhu
,
J.
,
Shum
,
J.
,
Zhang
,
Y.
,
Muluk
,
S. C.
,
Chandra
,
A.
,
Eskandari
,
M. K.
, and
Finol
,
E. A.
, 2013
, “
Surface Curvature as a Classifier of Abdominal Aortic Aneurysms: A Comparative Analysis
,” Ann. Biomed. Eng.
,
41
(3
), pp. 562
–576
.10.1007/s10439-012-0691-422.
Vorp
,
D. A.
, 2007
, “
Biomechanics of Abdominal Aortic Aneurysm
,” J. Biomech.
,
40
(9
), pp. 1887
–1902
.10.1016/j.jbiomech.2006.09.00323.
Dobrin
,
P. B.
, 1988
, “
Mechanics of Normal and Diseased Blood Vessels
,” Ann. Vasc. Surg.
,
2
(3
), pp. 283
–294
.10.1016/S0890-5096(07)60016-824.
Kudo
,
T.
,
Kuratani
,
T.
,
Shimamura
,
K.
,
Sakamoto
,
T.
,
Kin
,
K.
,
Masada
,
K.
,
Shijo
,
T.
,
Torikai
,
K.
,
Maeda
,
K.
, and
Sawa
,
Y.
, 2017
, “
Type 1a Endoleak Following Zine 1 and Zone 2 Thoracic Endovascular Aortic Repair: Effect of Bird-Beak Configuration
,” Eur. J. Cardiothorac. Surg.
,
52
(4
), pp. 718
–724
.10.1093/ejcts/ezx254Copyright © 2020 by ASME
You do not currently have access to this content.
