Influence of size, shape and properties on the mechanics of axisymmetric saccular aneurysms.

Rupture of intracranial saccular aneurysms is the most common cause of spontaneous subarachnoid hemorrhage which, despite advances in neurosurgery, continues to result in significant morbidity and mortality. Currently, the decision to treat a diagnosed, unruptured aneurysm is based primarily on the maximum dimension of the lesion even though there is controversy over the 'critical size' (e.g. many 'large' lesions do not rupture whereas some 'small' ones do). There is a need, therefore, for improved predictors of the rupture-potential of these lesions. In this paper, we show that it is highly unlikely that saccular aneurysms expand or rupture due to a limit point instability, and suggest that a rupture-criterion should be based on local multiaxial states of stress or strain. Moreover, our results from nonlinear finite element analyses reveal important roles of lesion shape, material properties, and loading conditions, not just size, in governing the distributions of stress and strain within a sub-class of axisymmetric saccular aneurysms. For example, we find that maximum biaxial stresses and strains are most often at the fundus, where rupture tends to occur, and that maximum stresses increase markedly with increases in lesion size, the ratio of neck diameter to lesion height, and the distending transmural pressure.

[1]  R. Taylor,et al.  Theory and finite element formulation of rubberlike membrane shells using principal stretches , 1992 .

[2]  Christopher Jenkins,et al.  Nonlinear Dynamic Response of Membranes: State of the Art , 1991 .

[3]  J. Torner,et al.  Size of intracranial aneurysms. , 1983, Neurosurgery.

[4]  M. R. Roach A Model Study of Why Some Intracranial Aneurysms Thrombose but Others Rupture , 1978, Stroke.

[5]  G. Ferguson,et al.  Comparison of the elastic properties of human intracranial arteries and aneurysms. , 1972, Canadian journal of physiology and pharmacology.

[6]  Flow in glass models of arterial bifurcations and berry aneurysms at low Reynolds numbers. , 1975, Quarterly journal of experimental physiology and cognate medical sciences.

[7]  J Suzuki,et al.  Clinicopathological study of cerebral aneurysms. Origin, rupture, repair, and growth. , 1978, Journal of neurosurgery.

[8]  W. J. German,et al.  Intra‐Aneurysmal Hemodynamics—Jet Action , 1955, Circulation research.

[9]  G. Ferguson Physical factors in the initiation, growth, and rupture of human intracranial saccular aneurysms. , 1972, Journal of Neurosurgery.

[10]  J. D. Humphrey,et al.  Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics , 1994 .

[11]  E. J. Hung,et al.  Mechanics of rupture of cerebral saccular aneurysms. , 1975, Journal of biomechanics.

[12]  M R Crompton,et al.  Mechanism of Growth and Rupture in Cerebral Berry Aneurysms* , 1966, British medical journal.

[13]  L N Sekhar,et al.  Origin, growth, and rupture of saccular aneurysms: a review. , 1981, Neurosurgery.

[14]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[15]  W. Stehbens Pathology and pathogenesis of intracranial berry aneurysms. , 1990, Neurological research.

[16]  H. Handa,et al.  The size of cerebral aneurysms in relation to repeated rupture. , 1983, Surgical neurology.

[17]  Millard F. Beatty,et al.  Topics in Finite Elasticity: Hyperelasticity of Rubber, Elastomers, and Biological Tissues—With Examples , 1987 .

[18]  J. D. Humphrey,et al.  A triplane video-based experimental system for studying axisymmetrically inflated biomembranes , 1995 .

[19]  G. Ferguson,et al.  A mathematical model for the mechanics of saccular aneurysms. , 1985, Neurosurgery.

[20]  G J Hademenos,et al.  A nonlinear mathematical model for the development and rupture of intracranial fusiform aneurysms. , 1994, Neurological research.

[21]  H. Locksley,et al.  Natural history of subarachnoid hemorrhage, intracranial aneurysms and arteriovenous malformations. , 1966, Journal of neurosurgery.

[22]  K. Jain MECHANISM OF RUPTURE OF INTRACRANIAL SACCULAR ANEURYSMS. , 1963, Surgery.

[23]  William H. Beyer,et al.  CRC standard mathematical tables , 1976 .

[24]  Nuri Akkas,et al.  Aneurysms as a Biomechanical Instability Problem , 1990 .

[25]  Egon Krause,et al.  Biomechanical Transport Processes , 1990, NATO ASI Series.

[26]  T. Sundt,et al.  The significance of unruptured intracranial saccular aneurysms. , 1987, Journal of neurosurgery.

[27]  Isaac Fried,et al.  Finite element computation of large rubber membrane deformations , 1982 .

[28]  G. Hutchins,et al.  Risk factors for the development and rupture of intracranial berry aneurysms. , 1985, The American journal of medicine.

[29]  L. E. Glynn,et al.  Medial defects in the circle of willis and their relation to aneurysm formation , 1940 .

[30]  J. Østergaard,et al.  Risk factors in intracranial saccular aneurysms Aspects on the formation and rupture of aneurysms, and development of cerebral vasospasm , 1989 .

[31]  K. Perktold,et al.  Hemodynamics in rigid and distensible saccular aneurysms: a numerical study of pulsatile flow characteristics. , 1993, Biorheology.