| Bayesian Approach for Recovering Piecewise Constant Viscoelasticity from MRE Data |
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| 作者姓名： | Yu JIANG Shi-hui QIAN |
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| 作者单位： | School of Mathematics |
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| 基金项目： | supported by the National Natural Science Foundation of China(No.11971121)。 |
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| 摘 要： | This paper deals with an inverse problem for recovering the piecewise constant viscoelasticity of a living body from MRE(Magnetic Resonance Elastography)data.Based on a scalar partial differential equation whose solution can approximately simulate MRE data,our inverse coefficient problem is considered as a statistical inverse problem of reconstructing the posterior distribution of unknown viscoelastic modulus.For sampling this distribution,one usually can use the Metropolis-Hastings Markov chain Monte Carlo(MHMCMC)algorithm.However,without an appropriate"proposal"distribution given artificially,the MH-MCMC algorithm is hard to draw samples efficiently.To avoid this,a so-called slice sampling algorithm is introduced in this paper and applied for solving our problem.The performance of these statistical inversion algorithms is numerically tested basing on simulated data.
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| 关 键 词： | Bayesian approach Markov chain Monte Carlo ALGORITHM SLICE sampling ALGORITHM interior measurement magnetic resonance ELASTOGRAPHY VISCOELASTICITY |
Bayesian Approach for Recovering Piecewise Constant Viscoelasticity from MRE Data |
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| Yu JIANG,Shi-hui QIAN.Bayesian Approach for Recovering Piecewise Constant Viscoelasticity from MRE Data[J].Acta Mathematicae Applicatae Sinica,2020,36(1):223-236. |
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| Authors: | Jiang Yu Qian Shi-hui |
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| Institution: | 1.School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China
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| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - This paper deals with an inverse problem for recovering the piecewise constant viscoelasticity of a living body from MRE (Magnetic Resonance... |
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