Skip to main content

Advertisement

SpringerLink
Log in

Quantitative analysis of vibration waves based on Fourier transform in magnetic resonance elastography

  • Published:
Radiological Physics and Technology Aims and scope Submit manuscript

Abstract

We developed a novel magnetic resonance elastography (MRE) analysis method based on Fourier transform to assess the responsive characteristics for different tissue stiffness and degree of transmission of the vibration wave emanating from a passive driver during MRE. A phantom tissue study was conducted with an MRE sequence and vibration wave system using a clinical MR scanner. The phantom tissue consisted of two layers of agar: 0.75 wt% and 1.0 wt%. Phase-unwrapped images derived from acquired MRE phase images were used to generate a phase profile curve, with a line plotted for the phase-unwrapped images. Fourier transform was performed, and the peak value of the power spectrum was derived. The damping rate/ratio was calculated using the Hilbert transform of the phase profile. We found that the mean shear stiffness value of 1.0 wt% agar was higher than that of 0.75 wt% agar. The responsive frequency of the 0.75 wt% agar layer showed a wider range and the damping rate of the signal showed a higher value than the respective values of the 1.0 wt% agar layer. In conclusion, Fourier transform analysis of MRE enabled us to obtain more detailed information of the tissue characteristics and vibration-wave conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Muthupillai R, Lomas DJ, Rossman PJ, Greenleaf JF, Manduca A, Ehman RL. Magnetic resonance elastography by direct visualization of propagating acoustic strain waves. Science. 1995;269(5232):1854–7.

    Article  CAS  Google Scholar 

  2. Rouviere O, Yin M, Dresner MA, Rossman PJ, Burgart LJ, Fidler JL, et al. MR elastography of the liver: preliminary results. Radiology. 2006;240(2):440–8.

    Article  Google Scholar 

  3. McKnight AL, Kugel JL, Rossman PJ, Manduca A, Hartmann LC, Ehman RL. MR elastography of breast cancer: preliminary results. AJR Am J Roentgenol. 2002;178(6):1411–7.

    Article  Google Scholar 

  4. Kruse SA, Rose GH, Glaser KJ, Manduca A, Felmlee JP, Jack CR Jr, et al. Magnetic resonance elastography of the brain. Neuroimage. 2008;39(1):231–7.

    Article  Google Scholar 

  5. Papazoglou S, Rump J, Braun J, Sack I. Shear wave group velocity inversion in MR elastography of human skeletal muscle. Magn Reson Med. 2006;56(3):489–97.

    Article  Google Scholar 

  6. Yin M, Talwalkar JA, Glaser KJ, Manduca A, Grimm RC, Rossman PJ, et al. Assessment of hepatic fibrosis with magnetic resonance elastography. Clin Gastroenterol Hepatol. 2007;5(10):1207–13.

    Article  Google Scholar 

  7. Schwimmer JB, Behling C, Angeles JE, Paiz M, Durelle J, Africa J, et al. Magnetic resonance elastography measured shear stiffness as a biomarker of fibrosis in pediatric nonalcoholic fatty liver disease. Hepatology. 2017;66(5):1474–85.

    Article  CAS  Google Scholar 

  8. Rump J, Klatt D, Braun J, Warmuth C, Sack I. Fractional encoding of harmonic motions in MR elastography. Magn Reson Med. 2007;57(2):388–95.

    Article  Google Scholar 

  9. Suga M, Matsuda T, Minato K, Oshiro O, Chihara K, Okamoto J, et al. Measurement of in vivo local shear modulus using MR elastography multiple-phase patchwork offsets. IEEE Trans Biomed Eng. 2003;50(7):908–15.

    Article  Google Scholar 

  10. Braun J, Guo J, Lutzkendorf R, Stadler J, Papazoglou S, Hirsch S, et al. High-resolution mechanical imaging of the human brain by three-dimensional multifrequency magnetic resonance elastography at 7T. Neuroimage. 2014;90:308–14.

    Article  Google Scholar 

  11. Venkatesh SK, Yin M, Ehman RL. Magnetic resonance elastography of liver: technique, analysis, and clinical applications. J Magn Reson Imaging. 2013;37(3):544–55.

    Article  Google Scholar 

  12. Zhang X. A surface wave elastography technique for measuring tissue viscoelastic properties. Med Eng Phys. 2017;42:111–5.

    Article  Google Scholar 

  13. Feldman M. Non-linear system vibration analysis using Hilbert transform–II. Forced vibration analysis method ‘Forcevib’. Mech Syst Signal Process. 1994;3:309–18.

    Article  Google Scholar 

  14. Benitez D, Gaydecki PA, Zaidi A, Fitzpatrick AP. The use of the Hilbert transform in ECG signal analysis. Comput Biol Med. 2001;31(5):399–406.

    Article  CAS  Google Scholar 

  15. Manduca A, Oliphant TE, Dresner MA, Mahowald JL, Kruse SA, Amromin E, et al. Magnetic resonance elastography: non-invasive mapping of tissue elasticity. Med Image Anal. 2001;5(4):237–54.

    Article  CAS  Google Scholar 

  16. Silva AM, Grimm RC, Glaser KJ, Fu Y, Wu T, Ehman RL, et al. Magnetic resonance elastography: evaluation of new inversion algorithm and quantitative analysis method. Abdom Imaging. 2015;40(4):810–7.

    Article  Google Scholar 

  17. Yoshimitsu K, Shinagawa Y, Mitsufuji T, Mutoh E, Urakawa H, Sakamoto K, et al. Preliminary comparison of multi-scale and multi-model direct inversion algorithms for 3T MR elastography. Magn Reson Med Sci. 2017;16(1):73–7.

    Article  Google Scholar 

  18. Goldstein RM, Zebker HA, Werner CL. Satellite radar interferometry: two-dimensional phase unwrapping. Radio Sci. 1988;23(4):713–20.

    Article  Google Scholar 

Download references

Funding

The authors declare no financial or commercial conflict of interest.

Author information

Authors and Affiliations

  1. Radiology Department, Rakuwakai Marutamachi Hospital, Marutamachi-noboru, Shichihonmatsudori, Nakagyo-ku, Kyoto, Kyoto, 604-8401, Japan

    Ikuho Kosaka

  2. Institute of Biomedical Sciences, Tokushima University Graduate School, 3-18-15, Kuramoto-cho, Toksuhima, Tokushima, 770-8509, Japan

    Yuki Kanazawa & Masafumi Harada

  3. National Hospital Organization, 513, Saijocho-ji Temple, Higashihiroshima, Hiroshima, 739-0041, Japan

    Kotaro Baba

  4. Faculty of Health Sciences, Institute of Medical, Pharmaceutical and Health Sciences, Kanazawa University, 5-11-80 Kodatsuno, Kanazawa, Ishikawa, 920-0942, Japan

    Hiroaki Hayashi

Authors
  1. Ikuho Kosaka
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yuki Kanazawa
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kotaro Baba
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hiroaki Hayashi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Masafumi Harada
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yuki Kanazawa.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kosaka, I., Kanazawa, Y., Baba, K. et al. Quantitative analysis of vibration waves based on Fourier transform in magnetic resonance elastography. Radiol Phys Technol 13, 268–275 (2020). https://doi.org/10.1007/s12194-020-00579-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12194-020-00579-y

Keywords

Search

Navigation