期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 33, 期 3, 页码 1181-1211出版社
SIAM PUBLICATIONS
DOI: 10.1137/100808277
关键词
fluid-structure interaction; inverse problems; parameter estimation; vessel's rigidity
资金
- EMORY URC
- ERC [N.227058 MATHCARD]
Estimation of the stiffness of a biological soft tissue is useful for the detection of pathologies such as tumors or atherosclerotic plaques. Elastography is a method based on the comparison between two images before and after a forced deformation of the tissue of interest. An inverse elasticity problem is then solved for Young's modulus estimation. In the case of arteries, no forced deformation is required, since vessels naturally move under the action of blood. Young's modulus can therefore be estimated by solving a coupled inverse fluid-structure interaction problem. In this paper we focus on the mathematical properties of this problem and its numerical solution. We give some well posedness analysis and some preliminary results based on a synthetic data set, i.e., test cases where the exact Young's modulus is known and the displacement dataset is numerically generated by solving a forward fluid-structure interaction problem. We address the problem of the presence of the noise in the measured displacement and of the proper sampling frequency for obtaining reliable estimates.
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