TY - JOUR
T1 - Finite strain elastodynamics of intracranial saccular aneurysms
AU - Shah, A. D.
AU - Humphrey, J. D.
N1 - Funding Information:
This research was supported by grants from the American Heart Association — MD Affiliate (MDSG-1395) and the NIH (HL-54957). Insightful discussions with Professors C. von Kerczek, H. Haslach, and T. Dimas are gratefully acknowledged, as is the help of Mr. Nehal Mohamed with the digitization of the physiologic data.
PY - 1999/6
Y1 - 1999/6
N2 - Various investigators suggest that intracranial saccular aneurysms are dynamically unstable, that they resonate in response to pulsatile blood flow. This hypothesis is based on linearized analyses or experiments on rubber `models', however, and there is a need for a more critical examination. Toward this end, we (a) derive a new nonlinear equation of motion for a pulsating spherical aneurysm that is surrounded by cerebral spinal fluid and whose behavior is described by a Fung-type pseudostrain-energy function that fits data on human lesions, and (b) use methods of nonlinear dynamics to examine the stability of such lesions against perturbations to both in vivo and in vitro conditions. The numerical results suggest that this sub-class of lesions is dynamically stable. Moreover, with the exception of transients associated with initial perturbations, inertial effects appear to be insignificant for fundamental forcing frequencies less than 10 Hz and hence for typical physiologic and laboratory conditions. We submit, therefore, that further study of the mechanics of saccular aneurysms should be focused on quasi-static stress analyses that investigate the roles of lesion geometry and material properties, including growth and remodeling.
AB - Various investigators suggest that intracranial saccular aneurysms are dynamically unstable, that they resonate in response to pulsatile blood flow. This hypothesis is based on linearized analyses or experiments on rubber `models', however, and there is a need for a more critical examination. Toward this end, we (a) derive a new nonlinear equation of motion for a pulsating spherical aneurysm that is surrounded by cerebral spinal fluid and whose behavior is described by a Fung-type pseudostrain-energy function that fits data on human lesions, and (b) use methods of nonlinear dynamics to examine the stability of such lesions against perturbations to both in vivo and in vitro conditions. The numerical results suggest that this sub-class of lesions is dynamically stable. Moreover, with the exception of transients associated with initial perturbations, inertial effects appear to be insignificant for fundamental forcing frequencies less than 10 Hz and hence for typical physiologic and laboratory conditions. We submit, therefore, that further study of the mechanics of saccular aneurysms should be focused on quasi-static stress analyses that investigate the roles of lesion geometry and material properties, including growth and remodeling.
KW - Aneurysmal growth and rupture
KW - Hemodynamics
KW - Laplace's equation
KW - Membrane dynamics
KW - Solid-fluid coupling
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U2 - 10.1016/S0021-9290(99)00030-5
DO - 10.1016/S0021-9290(99)00030-5
M3 - Article
C2 - 10332623
AN - SCOPUS:0032928110
SN - 0021-9290
VL - 32
SP - 593
EP - 599
JO - Journal of Biomechanics
JF - Journal of Biomechanics
IS - 6
ER -