A framework for geometric analysis of vascular structures: Application to cerebral aneurysms

IEEE Transactions on Medical Imaging

Volumn 28, Issue 8, 2009, Pages 1141-1155

  Piccinelli, Marina ^a,b   Veneziani, Alessandro ^a   Steinman, David A ^c   Remuzzi, Andrea ^b,d   Antiga, Luca ^b  

^a EMORY UNIVERSITY   (United States)

^b MARIO NEGRI INSTITUTE FOR PHARMACOLOGICAL RESEARCH   (Italy)

^c UNIVERSITY OF TORONTO   (Canada)

^d UNIVERSITY OF BERGAMO   (Italy)

Author keywords

Cerebral aneurysms; Geometric quantification; Three dimensional modeling; Vascular geometry

Indexed keywords

BLOOD FLOW DYNAMICS; CENTERLINES; CEREBRAL ANEURYSMS; COMPUTATIONAL HEMODYNAMICS; GEOMETRIC ANALYSIS; GEOMETRIC CHARACTERIZATION; GEOMETRIC FEATURE; GEOMETRIC QUANTIFICATION; GEOMETRIC RELATIONSHIPS; HIGH VARIABILITY; IN-VIVO; MEDICAL IMAGING TECHNOLOGY; OPEN SOURCE FRAMEWORKS; PATHOLOGICAL CONDITIONS; QUANTITATIVE ANALYSIS; THREE DIMENSIONAL MORPHOLOGY; THREE-DIMENSIONAL MODELING; VASCULAR DISEASE; VASCULAR GEOMETRY; VASCULAR NETWORK; VASCULAR STRUCTURES; VASCULATURE;

FLUID STRUCTURE INTERACTION; HEMODYNAMICS; MEDICAL IMAGING; MESH GENERATION; THREE DIMENSIONAL;

GEOMETRY;

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; BRAIN; BRAIN ANGIOGRAPHY; COMPUTER ASSISTED DIAGNOSIS; HISTOLOGY; HUMAN; IMAGE PROCESSING; INTERNAL CAROTID ARTERY; INTRACRANIAL ANEURYSM; METHODOLOGY; MIDDLE CEREBRAL ARTERY; PATHOLOGY; VASCULARIZATION;

ALGORITHMS; BRAIN; CAROTID ARTERY, INTERNAL; CEREBRAL ANGIOGRAPHY; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGE PROCESSING, COMPUTER-ASSISTED; INTRACRANIAL ANEURYSM; MIDDLE CEREBRAL ARTERY; MODELS, CARDIOVASCULAR;

EID: 68249125874     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2009.2021652     Document Type: Article

References (43)

1. C. Caro, D. J. Doorly, M. Tarnawski, K. Scott, Q. Long, and C. Dumoulin, "Non-planar curvature and branching of arteries and non-planar-type flow," Proc. R. Soc., vol. 452, no. 1944, pp. 185-197, 1996.
2. K. Perktold, R. Peter, M. Resch, and G. Langs, "Pulsatile non-newto-nian blood flow in three-dimensional carotid bifurcation models: A numerical study of flow phenomena under different bifurcation angles," J. Biomed. Eng., vol. 13, no. 6, pp. 507-1, 1991.
3. S. Sherwin, O. Shah, D. Doorly, M. McLean, N. Watkins, C. Caro, J. Peiro, M. Tarnawski, and C. Dumoulin, "Visualization and computational study of flow at model planar and non-planar end-to-side arterial bypass graft," J. Physiol-London, vol. 504P, p. P44, 1997.
4. S. Sherwin, O. Shah, D. Doorly, J. Peiro, Y. Papaharilaou, N. Watkins, C. Caro, and C. Dumoulin, "The influence of out-of-plane geometry on the flow within a distal end-to-side anastomosis," J. Biomech. Eng., vol. 122, no. 1, pp. 86-95, 2000.
5. U. Schulz and P. Rothwell, "Major variation in carotid bifurcation anatomy: A possible risk factor for plaque development?," Stroke, vol. 32, no. 11, pp. 2522-2529, 2001.
6. A. Malek, S. Alper, and S. Izumo, "Hemodynamic shear stress and its role in atherosclerosis," JAMA, vol. 282, no. 21, pp. 2035-2042, 1999.
7. Y. Hoi, H. Meng, S. Woodward, B. Bendok, R. Hanel, L. Guterman, and L. Hopkins, "Effects of arterial geometry on aneurysm growth: Three-dimensional computational fluid dynamics study," J. Neurosurg., vol. 101, no. 4, pp. 676-681, 2004.
8. G. Foutrakis, H. Yonas, and R. Sclabassi, "Saccular aneurysm formation in curved and bifurcating arteries," Am. J. Neuroradiol., vol. 20, no. 7, pp. 1309-1317, 1999.
9. M. Friedman, "Variability of 3-D arterial geometry and dynamics and its pathologic implications," Biorheology, pp. 513-517, 2002.
10. M. Friedman, O. Deters, F. Mark, C. Bargeron, and G. Hutchins, "Arterial geometry affects hemodynamics. A potential risk factor for atherosclerosis," Atherosclerosis, vol. 46, pp. 225-231, 1983.
11. J. A. Garcia, S. Y. Chen, J. C. Messenger, I. P. Casserly, A. Hansgen, O. Wink, B. Movassaghi, A. J. Klein, and J. D. Carroll, "Initial clinical experience of selective coronary angiography using one prolonged injection and a 180 degrees rotational trajectory," Catheter Cardiovasc. Interv., vol. 70, no. 2, pp. 190-196, 2007.
12. P. O'Flynn, G. O'Sullivan, and A. Pandit, "Methods for three-dimensional geometric characterization of the arterial vasculature," Ann. Biomed. Eng., vol. 35, no. 8, pp. 1368-1381, 2007.
13. C. Taylor, M. Draney, J. Ku, D. Parker, B. Steele, K. Wang, and C. Zarins, "Predictive medicine: Computational techniques in therapeutic decision making," Comput. Aided Surg., vol. 4, no. 5, pp. 231-247, 1999.
14. J. Cebral, M. Castro, S. Appanaboyina, C. Putman, D. Millan, and A. Frangi, "Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity," IEEE Trans. Med. Imag., vol. 24, no. 4, pp. 457-467, Apr. 2005.
15. J. Cebral, M. Castro, J. Burgess, R. Pergolizzi, M. Sheridan, and C. Putman, "Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models," AJNR, vol. 26, no. 10, pp. 2550-2559, 2005.
16. M. Castro, C. Putman, and J. Cebral, "Computational fluid dynamics modeling of intracranial aneurysms: Effects of parent artery segmentation on intra-aneurysmal hemodynamics," AJNR, vol. 27, no. 8, pp. 1703-1709, 2006.
17. L. Antiga and D. A. Steinman, Vascular Modeling Toolkit. Jan. 26, 2009 [Online]. Available: http://www.vmtk.org,
18. J. Sethian, Ed., Level Set Methods and Fast Marching Methods, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1999.
19. J. Sethian, "A fast marching level set method for monotonically advancing fronts," Proc. Nat. Acad. Sci., vol. 93, no. 4, pp. 1591-1595, 1996.
20. L. Antiga, B. Ene-Iordache, and A. Remuzzi, "Computational geometry for patient-specific reconstruction and meshing of blood vessels from MR and CT angiography," IEEE Trans. Med. Imag., vol. 22, no. 5, pp. 674-684, May 2003.
21. R. T. Whitaker, "A level-set approach to 3-D reconstruction from range data," Int. J. Comput. Vis., vol. 29, no. 3, pp. 203-231, 1998.
22. L. Ibanez, W. Schroeder, L. Ng, and J. Cates, The ITK Software Guide, 2nd ed. Albany, NY: Kitware, 2005.
23. W. Schroeder, K. Martin, and W. E. Lorensen, The Visualization Toolkit, An Object Oriented Approach to 3-D Graphics, 4th ed. Albany, NY: Kitware, 2005.
24. T. Dey and W. Zhao, "Approximate medial axis as a voronoi subcomplex," in Proc. 7th ACM Symp. Solid Model. Appl., 2002, pp. 356-366.
25. N. Amenta, S. Choi, and R. Kolluri, "The power crust, unions of balls and the medial axis transform," Computational Geometry: Theory Appl, vol. 19, no. 2, pp. 127-153, 2001.
26. T. Dey and W. Zhao, "Approximating the medial axis from the voronoi diagram with a convergence guarantee," Algorithmica, vol. 38, no. 1, pp. 179-200, 2003.
27. L. Antiga and D. Steinman, "Robust and objective decomposition and mapping of bifurcating vessels," IEEE Trans Med. Imag., vol. 23, no. 6, pp. 704-713, Jun. 2004.
28. K. Lee, K. H. Parker, C. Caro, and S. Sherwin, "The spectral/hp element modeling of steady flow in non-planar double bends," Int. J. Numer. Meth. Fluids, pp. 1-16, 2006.
29. E. Bullitt, G. Gerig, S. Pizer, W. Lin, and S. Aylward, "Measuring tortuosity of the intracerebral vasculature from MRA images," IEEE Trans. Med. Imag., vol. 22, no. 9, pp. 1163-1171, Sep. 2003.
30. M. Poullis, R. Warwick, A. Oo, and R. Poole, "Ascending aortic curvature as an independent risk factor for type a dissection and ascending aortic aneurysm formation: A mathematical model," Eur. J. Cardiothorac. Surg., vol. 33, no. 6, pp. 995-1001, 2008.
31. H. Zhu, Z. Ding, R. Piana, T. Gehrig, and M. Friedman, "Cataloguing the geometry of the human coronary arteries: A potential tool for predicting risk of coronary artery disease," Int. J. Cardiol, 2008.
32. S. V. L. M. Sangalli, P. Secchi, and A. Veneziani, Efficient estimation of 3-Dimensional centerlines of inner carotid arteries and their curvature functions by free knot regression splines 2008 [Online]. Available: http://www.mathcs.emory.edu
33. R. Bishop, "There is more than one way to frame a curve," Amer. Math. Monthly, vol. 82, no. 3, pp. 246-251, 1975.
34. J. Thomas, L. Antiga, S. Che, J. Milner, D. Steinman, J. Spence, B. Rutt, and D. Steinman, "Variation in the carotid bifurcation geometry of young versus older adults: Implications for geometric risk of atherosclerosis," Stroke, vol. 36, no. 11, pp. 2450-2456, 2005.
35. S. Lee, L. Antiga, and D. S. J. D. Spence, "Geometry of the carotid bifurcation predicts its exposure to disturbed flow," Stroke, vol. 39, no. 8, pp. 2341-2347, 2008.
36. T. Ingebrigtsen, M. Morgan, K. Faulder, L. Ingebrigtsen, T. Sparr, and H. Schirmer, "Bifurcation geometry and the presence of cerebral artery aneurysms," J. Neurosurg., vol. 101, no. 1, pp. 108-113, 2004.
37. H. Kasuya, T. Shimizu, K. Nakaya, A. Sasahara, T. Hori, and K. Takakura, "Angles between al and a2 segments of the anterior cerebral artery visualized by three dimensional computed tomographic angiog-raphy and association of anterior communicating artery aneurysms," Neurosurgery, vol. 45, no. 1, pp. 89-93, 1999.
38. T. Sadatomo, K. Yuki, K. Migita, E. Taniguchi, Y. Kodama, and K. Kurisu, "The characteristics of the anterior communicating artery aneurysm complex by three-dimensional digital subtraction angiog-raphy," Neurosurg. Rev., vol. 29, no. 3, pp. 201-207, 2006.
39. W. v. Rooij, M. Sluzewski, and G. Beute, "Internal carotid bifurcation aneurysms: Frequency, angiographic anatomy and results of coiling in 50 aneurysms," Neuroradiology, vol. 50, no. 7, pp. 583-587, 2008.
40. T. Sadatomo, K. Yuki, K. Migita, E. Taniguchi, Y. Kodama, and K. Kurisu, "Evaluation of relation among aneurysmal neck, parent artery and daughter arteries in middle cerebral artery aneurysms, by three-dimensional digital subtraction angiography," Neurosurg. Rev., vol. 28, no. 3, pp. 196-200, 2005.
41. T. Sadatomo, K. Yuki, K. Migita, E. Taniguchi, Y. Kodama, and K. Kurisu, "Morphological differences between ruptured and unruptured cases in middle cerebral artery aneurysms," Neurosurgery, vol. 62, no. 3, pp. 602-609, 2008.
42. M. Piccinelli, S. Bacigaluppi, E. Boccardi, B. Ene-Iordache, A. Re-muzzi, A. Veneziani, and L. Antiga, Influence of internal carotid artery geometry on aneurysm location and orientation: A computational geometry study 2008 [Online]. Available: http://www.mathcs.emory.edu
43. L. Sangalli, P. Secchi, S. Vantini, and A. Veneziani, A case study in explorative functional data analysis: Geometrical features of the internal carotid artery 2008 [Online]. Available: http://www.mathcs.emory.edu