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Technical Briefs

Application of Topological Sensitivity Toward Soft-Tissue Characterization From Vibroacoustography Measurements

[+] Author and Article Information
Huina Yuan

State Key Laboratory of Hydroscience and Engineering,
Department of Hydraulic Engineering,
Tsinghua University,
Beijing 100084, China
e-mail: huinayuan@tsinghua.edu.cn

Bojan B. Guzina

Department of Civil Engineering,
University of Minnesota,
Minneapolis, MN 55455
e-mail: guzina@wave.ce.umn.edu

Shigao Chen

e-mail: chen.shigao@mayo.edu

Randall Kinnick

e-mail: kinnick.randall@mayo.edu

Mostafa Fatemi

e-mail: fatemi.mostafa@mayo.edu
Department of Physiology and Biomedical Engineering,
Mayo Clinic College of Medicine,
Rochester, MN 55905

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Computational and Nonlinear Dynamics. Manuscript received July 14, 2011; final manuscript received January 27, 2013; published online March 21, 2013. Assoc. Editor: Ahmed Al-Jumaily.

J. Comput. Nonlinear Dynam 8(3), 034503 (Mar 21, 2013) (6 pages) Paper No: CND-11-1112; doi: 10.1115/1.4023738 History: Received July 14, 2011; Revised January 27, 2013

This study concerns the development and preliminary experimental verification of a topological sensitivity–based platform for the material characterization of tissue anomalies exposed by vibroacoustography-type imaging techniques. Vibroacoustography (VA) is a high-resolution imaging method that has been applied to the detection of pathological changes in soft tissues. Although the data provided by this method is related to the mechanical properties of tissue, the viscoelastic parameters of the object cannot be estimated by this imaging method itself. Topological sensitivity (TS) method is a data processing methodology that can be used to estimate the viscoelastic parameters of an object from vibration data. In this study, the concept of topological sensitivity is applied to interpret the vibroacoustography measurements for the purpose of lesion characterization. In the proposed approach, the topological sensitivity function, which signifies the variation of a given cost functional when an infinitesimal inclusion with trial material parameters is placed at the location of a point force, is formulated in terms of the adjoint field. The effectiveness of the resulting formula as a material indicator for lesion characterization is demonstrated by estimating the relative elastic parameters of a well-controlled neoprene sphere embedded in a tissue-mimicking phantom specimen.

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References

Figures

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Fig. 1

Experimental setup (modified from Ref. [23])

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Fig. 2

Configuration of a fluid-solid interaction problem

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Fig. 3

Averaged normal velocity profiles along a radial line on the top surface of the gel specimen at 30 Hz, 50 Hz, and 80 Hz

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Fig. 4

Boundary element mesh for the transmission problem

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Fig. 5

Comparison between the observed and simulated displacement profiles as well as the real and imaginary parts of the free field

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Fig. 6

Topological sensitivity T versus trial shear modulus μ∧ at 30 Hz

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Fig. 7

Topological sensitivity T versus trial shear modulus μ∧ at 50 Hz and 80 Hz

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Fig. 8

Topological sensitivity T versus trial shear modulus for stiffer and softer inclusions

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Fig. 9

Ratios of topological sensitivity values for different stiffer and softer inclusions

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