Patient-Specific Wall Stress Analysis in Cerebral Aneurysms Using Inverse Shell Model

Xianlian Zhou; Madhavan L Raghavan; Robert E Harbaugh; Jia Lu

doi:10.1007/s10439-009-9839-2

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Patient-Specific Wall Stress Analysis in Cerebral Aneurysms Using Inverse Shell Model

Journal article

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Peer reviewed

Patient-Specific Wall Stress Analysis in Cerebral Aneurysms Using Inverse Shell Model

Xianlian Zhou, Madhavan L Raghavan, Robert E Harbaugh and Jia Lu

Annals of biomedical engineering, Vol.38(2), pp.478-489

02/2010

DOI: 10.1007/s10439-009-9839-2

PMCID: PMC3214011

PMID: 19953324

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https://www.ncbi.nlm.nih.gov/pmc/articles/3214011View

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Abstract

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.

Cerebral aneurysms

Patient-specific analysis

Wall stress

Inverse elastostatics

Inverse shell analysis

Details

Title: Subtitle: Patient-Specific Wall Stress Analysis in Cerebral Aneurysms Using Inverse Shell Model
Creators: Xianlian Zhou - Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242, USA
Madhavan L Raghavan - Department of Biomedical Engineering, The University of Iowa, Iowa City, IA 52242, USA
Robert E Harbaugh - Departments of Neurosurgery, and Engineering Science and Mechanics, Penn State University, Hershey, PA 17033, USA
Jia Lu - Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242, USA
Resource Type: Journal article
Publication Details: Annals of biomedical engineering, Vol.38(2), pp.478-489
DOI: 10.1007/s10439-009-9839-2
PMID: 19953324
PMCID: PMC3214011
NLM abbreviation: Ann Biomed Eng
ISSN: 0090-6964
eISSN: 1573-9686
Grant note: R01 HL083475-05 || HL / National Heart, Lung, and Blood Institute : NHLBI
Language: English
Date published: 02/2010
Academic Unit: Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering
Record Identifier: 9984064115502771

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