Skip to main content
Log in

Tri- and bi-exponential diffusion analyses of the kidney: effect of respiratory-controlled acquisition on diffusion parameters

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

Abstract

This study examined whether respiratory-controlled acquisition influences diffusion parameters obtained with intravoxel incoherent motion (IVIM) analysis using tri-exponential and bi-exponential models. Ten healthy volunteers were examined on a 3.0 T MRI system to obtain coronal diffusion-weighted images of both kidneys. The participants were scanned twice using respiratory-triggering (RT) and free-breathing (FB) acquisition to assess the repeatability of the measurements. We determined mean signal intensities in the renal cortex at each b value. Then, perfusion-related diffusion coefficient (Dp), fast-free diffusion coefficient (Df), slow-restricted diffusion coefficient (Ds), and their corresponding fractions (Fp, Ff, and Fs, respectively) were calculated using tri-exponential function. Moreover, perfusion-related diffusion coefficient (D*), the fraction (F), and perfusion-independent diffusion coefficient (D) were calculated using bi-exponential function. Normalized root-mean-square errors for the tri- and bi-exponential analyses (nRMSEtri and nRMSEbi, respectively) were determined to assess the deviation of the fitted to measured data, i.e., the fitting accuracy. Additionally, repeatability coefficients (RCs) were calculated from Bland–Altman plots to evaluate the repeatability of each diffusion parameter. These values were compared between the RT and FB groups. Dp and D* in the RT group were significantly lower than those in the FB group (P < 0.05). In addition, the RT group showed significantly lower nRMSEtri and nRMSEbi values than those in the FB group (P < 0.05). Moreover, Dp, Ds, Fs, and D* at RT showed lower RC values than those at FB. Respiratory-controlled acquisition affects perfusion-related diffusion parameters of the kidney obtained using tri-exponential and bi-exponential analyses.

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

Access this article

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

Instant access to the full article PDF.

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

Similar content being viewed by others

References

  1. Wang H, Cheng L, Zhang X, Wang D, Guo A, Gao Y, et al. Renal cell carcinoma: diffusion-weighted MR imaging for subtype differentiation at 3.0 T. Radiology. 2010;257(1):135–43.

    Article  PubMed  Google Scholar 

  2. Bane O, Wagner M, Zhang JL, Dyvorne HA, Orton M, Rusinek H, et al. Assessment of renal function using intravoxel incoherent motion diffusion-weighted imaging and dynamic contrast-enhanced MRI. J Magn Reson Imaging. 2016;44(2):317–26.

    Article  PubMed  PubMed Central  Google Scholar 

  3. Zhang JL, Sigmund EE, Chandarana H, Rusinek H, Chen Q, Vivier PH, et al. Variability of renal apparent diffusion coefficients: limitations of the monoexponential model for diffusion quantification. Radiology. 2010;254(3):783–92.

    Article  PubMed  PubMed Central  Google Scholar 

  4. Le Bihan D, Breton E, Lallemand D, Aubin ML, Vignaud J, Laval-Jeantet M. Separation of diffusion and perfusion in intravoxel incoherent motion MR imaging. Radiology. 1988;168(2):497–505.

    Article  PubMed  Google Scholar 

  5. Gaing B, Sigmund EE, Huang WC, Babb JS, Parikh NS, Stoffel D, et al. Subtype differentiation of renal tumors using voxel-based histogram analysis of intravoxel incoherent motion parameters. Invest Radiol. 2015;50(3):144–52.

    Article  PubMed  Google Scholar 

  6. Hayashi T, Miyati T, Takahashi J, Fukuzawa K, Sakai H, Tano M, et al. Diffusion analysis with tri-exponential function in liver cirrhosis. J Magn Reson Imaging. 2013;38(1):148–53.

    Article  PubMed  Google Scholar 

  7. Ohno N, Miyati T, Kobayashi S, Gabata T. Modified tri-exponential analysis of intravoxel incoherent motion for brain perfusion and diffusion. J Magn Reson Imaging. 2016;43(4):818–23.

    Article  PubMed  Google Scholar 

  8. Ueda Y, Takahashi S, Ohno N, Kyotani K, Kawamitu H, Miyati T, et al. Triexponential function analysis of diffusion-weighted MRI for diagnosing prostate cancer. J Magn Reson Imaging. 2016;43(1):138–48.

    Article  PubMed  Google Scholar 

  9. van Baalen S, Leemans A, Dik P, Lilien MR, Ten Haken B, Froeling M. Intravoxel incoherent motion modeling in the kidneys: comparison of mono-, bi-, and tri-exponential fit. J Magn Reson Imaging. 2017;46(1):228–39.

    Article  PubMed  Google Scholar 

  10. Jerome NP, Orton MR, d’Arcy JA, Collins DJ, Koh DM, Leach MO. Comparison of free-breathing with navigator-controlled acquisition regimes in abdominal diffusion-weighted magnetic resonance images: effect on ADC and IVIM statistics. J Magn Reson Imaging. 2014;39(1):235–40.

    Article  PubMed  Google Scholar 

  11. Moerland MA, van den Bergh AC, Bhagwandien R, Janssen WM, Bakker CJ, Lagendijk JJ, et al. The influence of respiration induced motion of the kidneys on the accuracy of radiotherapy treatment planning, a magnetic resonance imaging study. Radiother Oncol. 1994;30(2):150–4.

    Article  CAS  PubMed  Google Scholar 

  12. Meeus EM, Novak J, Withey SB, Zarinabad N, Dehghani H, Peet AC. Evaluation of intravoxel incoherent motion fitting methods in low-perfused tissue. J Magn Reson Imaging. 2017;45(5):1325–34.

    Article  PubMed  Google Scholar 

  13. Kataoka M, Kido A, Yamamoto A, Nakamoto Y, Koyama T, Isoda H, et al. Diffusion tensor imaging of kidneys with respiratory triggering: optimization of parameters to demonstrate anisotropic structures on fraction anisotropy maps. J Magn Reson Imaging. 2009;29(3):736–44.

    Article  PubMed  Google Scholar 

  14. Notohamiprodjo M, Dietrich O, Horger W, Horng A, Helck AD, Herrmann KA, et al. Diffusion tensor imaging (DTI) of the kidney at 3 tesla-feasibility, protocol evaluation and comparison to 1.5 Tesla. Invest Radiol. 2010;45(5):245–54.

    Article  PubMed  Google Scholar 

  15. Tofts PS, Jackson JS, Tozer DJ, Cercignani M, Keir G, MacManus DG, et al. Imaging cadavers: cold FLAIR and noninvasive brain thermometry using CSF diffusion. Magn Reson Med. 2008;59(1):190–5.

    Article  PubMed  PubMed Central  Google Scholar 

  16. Yeung DK, Wong SY, Griffith JF, Lau EM. Bone marrow diffusion in osteoporosis: evaluation with quantitative MR diffusion imaging. J Magn Reson Imaging. 2004;19(2):222–8.

    Article  PubMed  Google Scholar 

  17. Luciani A, Vignaud A, Cavet M, Nhieu JT, Mallat A, Ruel L, et al. Liver cirrhosis: intravoxel incoherent motion MR imaging–pilot study. Radiology. 2008;249(3):891–9.

    Article  PubMed  Google Scholar 

  18. Lv J, Huang W, Zhang J, Wang X. Performance of U-net based pyramidal lucas-kanade registration on free-breathing multi-b-value diffusion MRI of the kidney. Br J Radiol. 2018;91(1086):20170813.

    Article  PubMed  PubMed Central  Google Scholar 

  19. Mao W, Zhou J, Zeng M, Ding Y, Qu L, Chen C, et al. Intravoxel incoherent motion diffusion-weighted imaging for the assessment of renal fibrosis of chronic kidney disease: a preliminary study. Magn Reson Imaging. 2018;47:118–24.

    Article  PubMed  Google Scholar 

  20. Alpert NM, Rabito CA, Correia DJ, Babich JW, Littman BH, Tompkins RG, et al. Mapping of local renal blood flow with PET and H(2)(15)O. J Nucl Med. 2002;43(4):470–5.

    PubMed  Google Scholar 

  21. Wittsack HJ, Lanzman RS, Quentin M, Kuhlemann J, Klasen J, Pentang G, et al. Temporally resolved electrocardiogram-triggered diffusion-weighted imaging of the human kidney: correlation between intravoxel incoherent motion parameters and renal blood flow at different time points of the cardiac cycle. Invest Radiol. 2012;47(4):226–30.

    Article  PubMed  Google Scholar 

  22. Walker-Samuel S, Orton M, McPhail LD, Robinson SP. Robust estimation of the apparent diffusion coefficient (ADC) in heterogeneous solid tumors. Magn Reson Med. 2009;62(2):420–9.

    Article  PubMed  Google Scholar 

  23. Kartalis N, Loizou L, Edsborg N, Segersvard R, Albiin N. Optimising diffusion-weighted MR imaging for demonstrating pancreatic cancer: a comparison of respiratory-triggered, free-breathing and breath-hold techniques. Eur Radiol. 2012;22(10):2186–92.

    Article  PubMed  Google Scholar 

Download references

Funding

No funding was received to assist with the preparation of this manuscript.

Author information

Authors and Affiliations

Authors

Contributions

YM: conceptualization, data curation, formal analysis, investigation, methodology, validation, visualization, and writing—original draft. NO: conceptualization, data curation, formal analysis, investigation, methodology, software, validation, and writing—review & editing. TM: supervision and writing—review & editing. NH: supervision. YM: supervision. SK: supervision. TG: supervision.

Corresponding author

Correspondence to Naoki Ohno.

Ethics declarations

Conflict of interest

This study was presented as a digital poster at the International Society of Magnetic Resonance in Medicine (ISMRM) meeting on June 15–21, 2018, in Paris, France and published as Proc. of the Intl. Soc. Mag. Reson. Med. 26: 4595.

Ethics approval

This study was performed in line with the principles of the Declaration of Helsinki. Approval was granted by the Ethics Committee of Kanazawa University (No. 848–1).

Informed consent

Informed consent was obtained from all individual participants included in the study. Participants also signed informed consent regarding publishing their data and photographs.

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

Makino, Y., Ohno, N., Miyati, T. et al. Tri- and bi-exponential diffusion analyses of the kidney: effect of respiratory-controlled acquisition on diffusion parameters. Radiol Phys Technol 16, 478–487 (2023). https://doi.org/10.1007/s12194-023-00734-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12194-023-00734-1

Keywords

Navigation