Reference : Inverse simulation for retrieving the undeformed position for hyperelastic materials ...
Scientific congresses, symposiums and conference proceedings : Unpublished conference
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/42678
Inverse simulation for retrieving the undeformed position for hyperelastic materials : application to breast simulations
English
[fr] Simulation inverse pour retrouver la configuration au repos de matériaux hyper-élastique : application aux simulations pour les seins
Mazier, Arnaud mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Bilger, Alexandre mailto []
Forte, Antonio mailto []
Peterlik, Igor mailto []
Hale, Jack mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Jul-2020
1
Yes
Yes
International
WCCM 2020
19-07-2020 to 24-07-2020
Paris
France
[en] Inverse deformation ; Finite element method ; Medical simulations
[en] The rest position, as well as any associated internal stresses in soft organs, are usually unknown when solving biomechanics problems. In addition, the initial geometry of a specific organ, obtained from medical images, is affected by external forces. An example is breast MRI performed prior to cancer surgery. During the imaging routine, the breast is elongated in prone position in order to better view the tumor. However, during surgery, the patient is in supine position, which causes the breast to rest in a completely different state. To simulate this state from the prone stance, the rest configuration is needed as well as the pre-stress mapping of the organs [1].
To tackle this problem, iterative algorithms have been proposed such as Sellier’s method [2]. In this fixed-point approach, the rest configuration is updated by multiple forward calculations then repeated until the error (between the updated and target configuration) reaches an established threshold. The method presents many benefits e.g. easy implementation and fast convergence. However, convergence issues appear at large deformations induced for instance by hyperelastic material formulations.
In this work, we develop a simple formulation and a robust solution procedure for inverse deformation problems in soft-tissue biomechanics using the FEniCS Project finite element solver. In contrast with iterative algorithms, our method can solve with a single simulation the rest position without computing multiple solutions of the forward problem. For a fixed convergence tolerance, our physics-based algorithm is about ten times faster and better handles large deformations than Sellier’s method [2]. Moreover, no additional direct deformation simulations from the rest configuration are required to compute stresses in the organ. The framework is implemented within an open-source pipeline enabling the seamless, fully parallelized, direct and inverse deformation simulation of organs directly from segmented images. The pipeline is also designed to be flexible to user’s needs: for example, it allows the modification of the constitutive models by changing a single line of code.
University of Luxembourg
European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 764644.
Rainbow
Researchers
http://hdl.handle.net/10993/42678
This study was supported by European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 764644, No. 798244 and the financial support of the European Research Council Starting Independent Research Grant (ERC StG grant agreement No. 279578). Jack S. Hale is supported by the National Research Fund, Luxembourg, and cofunded under the Marie Curie Actions of the European Commission (FP7-COFUND) Grant No. 6693582.
H2020 ; 764644 - RAINBOW - Rapid Biomechanics Simulation for Personalized Clinical Design

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
DraftAbstractWCCMMazier.pdfAuthor preprint70.15 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.