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Patient-specific wall stress analysis in cerebral aneurysms using inverse shell model.
Xianlian Zhou1, Madhavan L Raghavan, Robert E Harbaugh
1Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242, USA.
This study introduces an inverse approach for analyzing stress in cerebral aneurysms. The new method improves accuracy by considering the pre-deformed state, unlike traditional methods that assume a stress-free configuration.
Area of Science:
- Biomedical Engineering
- Computational Mechanics
- Medical Imaging
Background:
- Patient-specific vascular structures are often analyzed assuming a stress-free state, which is inaccurate as they are pre-deformed in vivo.
- Traditional stress analysis methods for cerebral aneurysms may lead to inaccuracies due to this assumption.
Purpose of the Study:
- To introduce and demonstrate an inverse approach for stress analysis in patient-specific cerebral aneurysms.
- To improve the accuracy of stress estimations by accounting for the in vivo pre-deformed state.
Main Methods:
- Developed an inverse approach for stress analysis of cerebral aneurysms modeled as nonlinear thin shells.
- Utilized patient-specific lesion surface data from medical images as input, representing the deformed configuration under arterial pressure.
- Solved equilibrium equations to predict wall stress and the unstressed initial configuration.
Main Results:
- The inverse approach predicts wall stress in the deformed configuration and the unstressed initial configuration.
- This method enables wall stress prediction without precise knowledge of wall elastic properties for some lesions.
- In-plane wall stress was found to be insensitive to the material model.
Conclusions:
- The inverse approach offers a more accurate method for stress analysis in cerebral aneurysms compared to traditional methods.
- This technique can provide valuable insights into aneurysm mechanics, potentially without requiring detailed material property data.
- The findings highlight the robustness of in-plane stress estimations against variations in material models.
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