Inverse method of stress analysis for cerebral aneurysms

Jia Lu; Xianlian Zhou; Madhavan L. Raghavan

doi:10.1007/s10237-007-0110-1

Inverse method of stress analysis for cerebral aneurysms

Jia Lu
, Xianlian Zhou
, Madhavan L. Raghavan

Research output: Contribution to journal › Article › peer-review

89 Scopus citations

Abstract

We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.

Original language	English (US)
Pages (from-to)	477-486
Number of pages	10
Journal	Biomechanics and Modeling in Mechanobiology
Volume	7
Issue number	6
DOIs	https://doi.org/10.1007/s10237-007-0110-1
State	Published - Dec 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Biotechnology
Modeling and Simulation
Mechanical Engineering

Keywords

Cerebral aneurysms
Inverse elastostatics
Membrane theory
Patient-specific analysis

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10.1007/s10237-007-0110-1

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title = "Inverse method of stress analysis for cerebral aneurysms",

abstract = "We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.",

keywords = "Cerebral aneurysms, Inverse elastostatics, Membrane theory, Patient-specific analysis",

author = "Jia Lu and Xianlian Zhou and Raghavan, \{Madhavan L.\}",

note = "Funding Information: Acknowledgment The work was supported by the National Science Foundation under the grant CMS 03-48194 to the University of Iowa.",

year = "2008",

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doi = "10.1007/s10237-007-0110-1",

language = "English (US)",

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journal = "Biomechanics and Modeling in Mechanobiology",

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T1 - Inverse method of stress analysis for cerebral aneurysms

AU - Lu, Jia

AU - Zhou, Xianlian

AU - Raghavan, Madhavan L.

N1 - Funding Information: Acknowledgment The work was supported by the National Science Foundation under the grant CMS 03-48194 to the University of Iowa.

PY - 2008/12

Y1 - 2008/12

N2 - We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.

AB - We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.

KW - Cerebral aneurysms

KW - Inverse elastostatics

KW - Membrane theory

KW - Patient-specific analysis

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UR - https://www.scopus.com/pages/publications/54749119012#tab=citedBy

U2 - 10.1007/s10237-007-0110-1

DO - 10.1007/s10237-007-0110-1

M3 - Article

C2 - 17990015

AN - SCOPUS:54749119012

SN - 1617-7959

VL - 7

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EP - 486

JO - Biomechanics and Modeling in Mechanobiology

JF - Biomechanics and Modeling in Mechanobiology

IS - 6

ER -

Inverse method of stress analysis for cerebral aneurysms

Abstract

All Science Journal Classification (ASJC) codes

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