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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

Fatemi, M., and Greenleaf, J. F., 1998, “Ultrasound-Stimulated Vibro-acoustic Spectrography,” Science, 280, pp. 82–85. [CrossRef] [PubMed]
Fatemi, M., and Greenleaf, J. F., 1999, “Vibro-acoustography: An Imaging Modality Based on Ultrasound-Stimulated Acoustic Emission,” Proc. Natl. Acad. Sci. U.S.A., 96, pp. 6603–6608. [CrossRef] [PubMed]
Fatemi, M., Wold, L. E., Alizad, A., and Greenleaf, J. F., 2002, “Vibro-acoustic Tissue Mammography,” IEEE Trans. Med. Imaging, 21, pp. 1–8. [CrossRef] [PubMed]
Alizad, A., Fatemi, M., Wold, L. E., and Greenleaf, J. F., 2004, “Performance of Vibro-acoustography in Detecting Microcalcifications in Excised Human Breast Tissue: A Study of 74 Tissue Samples,” IEEE Trans. Med. Imaging, 23, pp. 307–312. [CrossRef] [PubMed]
Alizad, A., Whaley, D. H., Urban, M. W., Carter, R. E., Kinnick, R. R., Greenleaf, J. F., and Fatemi, M., 2012, “Breast Vibro-Acoustography: Initial Results Show Promise,” Breast Cancer Res., 14, p. R128. [CrossRef]
Alizad, A., Fatemi, M., Nishimura, R. A., Kinnick, R. R., Rambod, E., and Greenleaf, J. F., 2002, “Detection of Calcium Deposits on Heart Valve Leaflets by Vibro-acoustography: An In Vitro Study,” J. Am. Soc. Echocardiogr., 15, pp. 1391–1395. [CrossRef] [PubMed]
Alizad, A., Wold, L. E., Greenleaf, J. F., and Fatemi, M., 2004, “Imaging Mass Lesions by Vibro-acoustography Modeling and Experiments,” IEEE Trans. Med. Imaging, 23, pp. 1087–1093. [CrossRef] [PubMed]
Fatemi, M., Manduca, A., and Greenleaf, J. F., 2003, “Imaging Elastic Properties of Biological Tissues by Low-Frequency Harmonic Vibration,” Proc. IEEE, 91, pp. 1503–1519. [CrossRef]
Alizad, A., Fatemi, M., Whaley, D. H., and Greenleaf, J. F., 2004, “Application of Vibro-acoustography for Detection of Calcified Arteries in Breast Tissue,” J. Ultrasound Med., 23, pp. 267–273. Available at http://www.jultrasoundmed.org/content/23/2/267.full.pdf [PubMed]
Alizad, A., Whaley, D. H., Greenleaf, J. F., and Fatemi, M., 2006, “Critical Issues in Breast Imaging by Vibro-acoustography,” Ultrasonics, 44, pp. e217–e220. [CrossRef] [PubMed]
Guzina, B. B., and Bonnet, M., 2004, “Topological Derivative for the Inverse Scattering of Elastic Waves,” Q. J. Mech. Appl. Math., 57, pp. 161–179. [CrossRef]
Gallego, R., and Rus, G., 2004, “Identification of Cracks and Cavities Using the Topological Sensitivity Boundary Integral Equation,” Comput. Mech., 33, pp. 154–163. [CrossRef]
Bonnet, M., 2006, “Topological Sensitivity for 3D Elastodynamics and Acoustic Inverse Scattering in the Time Domain,” Comput. Methods Appl. Mech. Eng., 195, pp. 5239–5254. [CrossRef]
Guzina, B. B., and Chikichev, I., 2007, “From Imaging to Material Identification: A Generalized Concept of Topological Sensitivity,” J. Mech. Phys. Solids, 55, pp. 245–279. [CrossRef]
Sokolowski, J., and Zochowski, A., 1999, “On the Topological Derivative in Shape Optimization,” SIAM J. Control Optim., 37, pp. 1251–1272. [CrossRef]
Guzina, B. B., and Yuan, H., 2009, “On the Small-Defect Perturbation and Sampling of Heterogeneous Solids,” Acta Mech., 205, pp. 51–75. [CrossRef]
Yuan, H., and Guzina, B. B., 2012, “Topological Sensitivity for Vibro-Acoustography Applications,” Wave Motion, 49, pp. 765–781. [CrossRef]
Pak, R. Y. S., and Guzina, B. B., 1999, “Seismic Soil-Structure Interaction Analysis by Direct Boundary Element Methods,” Int. J. Solids Struct., 36, pp. 4743–4766. [CrossRef]
Wang, J., and Tsay, T.-K., 2005, “Analytical Evaluation and Application of the Singularities in Boundary Element Method,” Eng. Anal. Boundary Elem., 29, pp. 241–256. [CrossRef]
Chen, S., Fatemi, M., and Greenleaf, J. F., 2002, “Remote Measurement of Material Properties From Radiation Force Induced Vibration of an Embedded Sphere,” J. Acoust. Soc. Am., 112, pp. 884–889. [CrossRef] [PubMed]
McKnight, A. L., Kugel, J. L., Rossman, P. J., Manduca, A., Hartmann, L. C., and Ehman, R. L., 2002, “MR Elastography of Breast Cancer: Preliminary Results,” Am. J. Roentgenol., 178, pp. 1411–1417. [CrossRef]
Wells, P. N. T., and Liang, H., “Medical Ultrasound: Imaging of Soft Tissue Strain and Elasticity,” J. R. Soc., Interface, (in press).
Yuan, H., Guzina, B. B., Chen, S., Kinnick, R. R., and Fatemi, M., 2012, “Estimation of the Complex Shear Modulus in Tissue-Mimicking Materials From Optical Vibrometry Measurements,” Inverse Probl. Sci. Eng., 20, pp. 173–187. [CrossRef]
Nintchcu Fata, S., Guzina, B. B., and Bonnet, M., 2003, “Computational Framework for the BIE Solution to Inverse Scattering Problems in Elastodynamics,” Comput. Mech., 32, pp. 370–380. [CrossRef]
Bonnet, M., and Guzina, B. B., 2009, “Elastic-Wave Identification of Penetrable Obstacles Using Shape-Material Sensitivity Framework,” J. Comput. Phys., 228, pp. 294–311. [CrossRef]

Figures

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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. 1

Experimental setup (modified from Ref. [23])

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Fig. 9

Ratios of topological sensitivity values for different stiffer and softer inclusions

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