Parameterization of the shape of intracranial saccular aneurysms using Legendre polynomials

References

• Breau , C , Shirazi-Adl , A and de Guise , J . 1991 . Reconstruction of a human ligamentous lumbar spine using CT images—A three-dimensional finite element mesh generation . Ann. Biomed. Eng. , 19 : 291 – 302 .
   PubMedGoogle Scholar
• Canham , PB and Ferguson , GG . 1985 . A mathematical model for the mechanics of saccular aneurysms . Neurosurgery , 17 ( 2 ) : 291 – 295 .
   PubMed Web of Science ®Google Scholar
• Canham , PB , Finlay , HM , Kiernan , JA and Ferguson , GG . 1999 . Layered structure of saccular aneurysms assessed by collagen birefringence . Neurological Res. , 21 : 618 – 626 .
   PubMed Web of Science ®Google Scholar
• Chitanvis , SM , Dewey , M , Hademenos , G , Powers , WJ and Massoud , TF . 1997 . A nonlinear quasi-static model of intracranial aneurysms . Neurological Res. , 19 ( 5 ) : 489 – 496 .
   PubMed Web of Science ®Google Scholar
• Crompton MR The pathology of ruptured middle-cerebral aneurysms with special reference to the difference between the sexes The Lancet 421 425 1962
   Google Scholar
• Crompton , MR . 1966 . Mechanism of growth and rupture in cerebral berry aneurysms . Br. J. Neurosurg. , 1 : 1138 – 1142 .
   Google Scholar
• David , G and Humphrey , JD . 2003 . Further evidence for the dynamic stability of intracranial saccular aneurysms . J. Biomech. , 36 : 1143 – 1150 .
   PubMedGoogle Scholar
• Elger , DF , Blackketter , DM , Budwig , RS and Johansen , KH . 1996 . The influence of shape on the stresses in model abdominal aortic aneurysms . Trans. ASME , 118 : 326 – 332 .
   Google Scholar
• Hademenos , GJ , Massoud , TF , Turjman , F and Sayre , JW . 1998 . Anatomical and morphological factors correlating with rupture of intracranial aneurysms in patients referred for endovascular treatment . Neuroradiology , 40 : 755 – 760 .
   PubMed Web of Science ®Google Scholar
• Humphrey , JD . 1998 . Computer methods in membrane biomechanics . Comput. Methods Biomech. Biomed. Eng. , 1 : 171 – 210 .
   PubMedGoogle Scholar
• Humphrey , JD and Canham , PB . 2000 . Structure, properties, and mechanics of intracranial saccular aneurysms . J. Elasticity , 61 : 49 – 81 .
   Web of Science ®Google Scholar
• Kraus H Thin Elastic Shells An Introduction to the Theoretical Foundations and the Analysis of Their Static and Dynamic Behavior New York John Wiley & Sons 1967
   Google Scholar
• Kyriacou SK Humphrey JD Influence of size, shape and properties on the mechanics of axisymmetric saccular aneurysms J. Biomech. 29 1015 1022 Erratum, 30: 761, 1997 1996
   PubMed Web of Science ®Google Scholar
• Ma , B , Harbaugh , RE and Raghavan , ML . 2004 . Three-dimensional geometrical characterization of cerebral aneurysms . Ann. Biomed. Eng. , 32 : 264 – 273 .
   PubMed Web of Science ®Google Scholar
• Mimata , C , Kitaoka , M , Nagahiro , S , Iyama , K , Hori , H , Yoshioka , H and Ushio , Y . 1997 . Differential distribution and expressions of collagens in the cerebral aneurymal wall . Acta Neuropathol. , 94 : 197 – 206 .
   PubMed Web of Science ®Google Scholar
• Orz , Y , Kobayashi , S , Osawa , M and Tanaka , Y . 1997 . Aneurysm size: a prognostic factor for rupture . Br. J. Neurosurg. , 11 ( 2 ) : 144 – 149 .
   PubMedGoogle Scholar
• Ryan , JM and Humphrey , JD . 1999 . Finite element based predictions of preferred material symmetries in saccular aneurysms . Ann. Biomed. Eng. , 27 : 641 – 647 .
   PubMed Web of Science ®Google Scholar
• Sacks , MS , Vorp , DA , Raghavan , ML , Federle , MP and Webster , MW . 1999 . In vivo three-dimensional surface geometry of abdominal aortic aneurysms . Ann. Biomed. Eng. , 27 : 469 – 479 .
   PubMed Web of Science ®Google Scholar
• Scott , S , Fergunson , GG and Roach , MR . 1972 . Comparison of the elastic properties of human intracranial arteries and aneurysms . Can. J. Physiol. Pharmacol. , 50 ( 4 ) : 328 – 332 .
   PubMed Web of Science ®Google Scholar
• Seshaiyer , P , Hsu , FPK , Shah , AD , Kyriacou , SK and Humphrey , JD . 2001 . Multiaxial mechanical behavior of human saccular aneurysms . Comput. Methods Biomech. Biomed. Eng. , 4 : 281 – 290 .
   Google Scholar
• Shah , AD , Harris , JL , Kyriacou , SK and Humphrey , JD . 1997 . Further roles of geometry and properties in saccular aneurysm mechanics . Comput. Methods Biomech. Biomed. Eng. , 1 : 109 – 121 .
   Google Scholar
• Ujiie , H , Sato , K , Onda , H , Oikawa , A , Kagawa , M , Takakura , K and Kobayashi , N . 1993 . Clinical analysis of incidentally discovered unruptured aneurysms . Stroke , 24 : 1850 – 1856 .
   PubMed Web of Science ®Google Scholar
• Ujiie H Tachibana H Hiramatsu O Hazel AL Matsumoto T Ogasawara Y Nakajima H Hori T Takakura K Kajiya F Effects of size and shape (aspect ratio) on the hemodynamics of saccular aneurysms: a possible index for surgical treatment of intracranial aneurysms Neurosurgery 45 1 119 129 discussion 129–30 1999
   PubMed Web of Science ®Google Scholar
• Von Seggern DH CRC Handbook of Mathematical Curves and Surfaces Boca Raton CRC Press 1990
   Google Scholar
• Wiebers , DO . 1998 . Unruptured intracranial aneurysm—risk of rupture and risks of surgical intervention . New Engl. J. Med. , 339 : 1725 – 1733 .
   PubMed Web of Science ®Google Scholar
• Zacks , DJ , Russell , DB and Miller , JDR . 1980 . Fortuitously discovered intracranial aneurysms . Arch. Neurologica , 37 : 39 – 41 .
   PubMedGoogle Scholar
• Zhang S Jin J Computation of Special Functions New York John Wiley & Sons, Inc. 1996
   Google Scholar