TY - JOUR
T1 - Patient-specific wall stress analysis in cerebral aneurysms using inverse shell model
AU - Zhou, Xianlian
AU - Raghavan, Madhavan L.
AU - Harbaugh, Robert E.
AU - Lu, Jia
N1 - Funding Information:
The work was funded by the National Science Foundation Grant CMS 03-48194 and the NIH(NHLBI) Grant 1R01HL083475-01A2. The supports are gratefully acknowledged.
PY - 2010/2
Y1 - 2010/2
N2 - Stress analyses of patient-specific vascular structures commonly assume that the reconstructed in vivo configuration is stress free although it is in a pre-deformed state. We submit that this assumption can be obviated using an inverse approach, thus increasing accuracy of stress estimates. In this paper, we introduce an inverse approach of stress analysis for cerebral aneurysms modeled as nonlinear thin shell structures, and demonstrate the method using a patient-specific aneurysm. A lesion surface derived from medical images, which corresponds to the deformed configuration under the arterial pressure, is taken as the input. The wall stress in the given deformed configuration, together with the unstressed initial configuration, are predicted by solving the equilibrium equations as opposed to traditional approach where the deformed geometry is assumed stress free. This inverse approach also possesses a unique advantage, that is, for some lesions it enables us to predict the wall stress without accurate knowledge of the wall elastic property. In this study, we also investigate the sensitivity of the wall stress to material parameters. It is found that the in-plane component of the wall stress is indeed insensitive to the material model.
AB - Stress analyses of patient-specific vascular structures commonly assume that the reconstructed in vivo configuration is stress free although it is in a pre-deformed state. We submit that this assumption can be obviated using an inverse approach, thus increasing accuracy of stress estimates. In this paper, we introduce an inverse approach of stress analysis for cerebral aneurysms modeled as nonlinear thin shell structures, and demonstrate the method using a patient-specific aneurysm. A lesion surface derived from medical images, which corresponds to the deformed configuration under the arterial pressure, is taken as the input. The wall stress in the given deformed configuration, together with the unstressed initial configuration, are predicted by solving the equilibrium equations as opposed to traditional approach where the deformed geometry is assumed stress free. This inverse approach also possesses a unique advantage, that is, for some lesions it enables us to predict the wall stress without accurate knowledge of the wall elastic property. In this study, we also investigate the sensitivity of the wall stress to material parameters. It is found that the in-plane component of the wall stress is indeed insensitive to the material model.
UR - http://www.scopus.com/inward/record.url?scp=77249107515&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77249107515&partnerID=8YFLogxK
U2 - 10.1007/s10439-009-9839-2
DO - 10.1007/s10439-009-9839-2
M3 - Article
C2 - 19953324
AN - SCOPUS:77249107515
SN - 0090-6964
VL - 38
SP - 478
EP - 489
JO - Annals of Biomedical Engineering
JF - Annals of Biomedical Engineering
IS - 2
ER -