Stability analysis for Magnetic Resonance Elastography

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Ammari, Habib¹  Waters, Alden¹  Zhang, Hai¹ 

[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

关键词: Stability analysis;    Shear modulus reconstruction;    Magnetic Resonance Elastography;    Landweber scheme;    Optimal control;    Biological tissues;   

DOI  :  10.1016/j.jmaa.2015.05.029

来源: Elsevier

【 摘 要 】

We consider the inverse problem of finding unknown elastic parameters from internal measurements of displacement fields for tissues. The measurements are made on the entirety of a smooth domain. Since tissues can be modeled as quasi-incompressible fluids, we examine the Stokes system and consider only the recovery of shear modulus distributions. Our main result is to establish Lipschitz stable estimates on the shear modulus distributions from internal measurements of displacement fields. These estimates imply convergence of a numerical scheme known as the Landweber iteration scheme for reconstructing the shear modulus distributions. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free