Abstract
Object
The objective of this study is to propose a modified VARiable PROjection (VARPRO) algorithm specifically tailored for fitting the intravoxel incoherent motion (IVIM) model to diffusion-weighted magnetic resonance imaging (DW-MRI) data from locally advanced rectal cancer (LARC).
Materials and methods
The proposed algorithm is compared with classical non-linear least squares (NLLS) analysis using the Levenberg-Marquardt (LM) algorithm and with two recently proposed algorithms for ‘segmented’ analysis. These latter two comprise two consecutive steps: first, a subset of parameters is estimated using a portion of data; second, the remaining parameters are estimated using the whole data and the previous estimates. The comparison between the algorithms was based on the \(R^2\) goodness-of-fit measure: performance analysis was carried out on real data obtained by DW-MRI on 40 LARC patients.
Results
The performance of the proposed algorithm was higher than that of LM in 64 % of cases; ‘segmented’ methods were poorer than our algorithm in 100 % of cases.
Conclusion
The proposed modified VARPRO algorithm can lead to better fit of the IVIM model to LARC DW-MRI data compared to other techniques.
References
Bisdas S, Klose U (2015) IVIM analysis of brain tumors: an investigation of the relaxation effects of CSF, blood, and tumor tissue on the estimated perfusion fraction. Magn Reson Mater Phy 28(4):377–383
Le Bihan D (2008) Intravoxel incoherent motion perfusion MR imaging: a wake-up call. Radiology 249(3):748–752
Le Bihan D, Breton E, Lallemand D, Aubin ML, Vignaud J, Laval-Jeantet M (1988) Separation of diffusion and perfusion in intravoxel incoherent motion MR imaging. Radiology 168(2):497–505
Bokacheva L, Kaplan JB, Giri DD, Patil S, Gnanasigamani M, Nyman CG, Deasy JO, Morris EA, Thakur SB (2014) Intravoxel incoherent motion diffusion-weighted MRI at 3.0 T differentiates malignant breast lesions from benign lesions and breast parenchyma. J Magn Reson Imaging 40(4):813–823
Liu C, Liang C, Liu Z, Zhang S, Huang B (2013) Intravoxel incoherent motion (IVIM) in evaluation of breast lesions: comparison with conventional DWI. Eur J Radiol 82(12):e782–e789
Suo S, Lin N, Wang H, Zhang L, Wang R, Zhang S, Hua J, Xu J (2014) Intravoxel incoherent motion diffusion-weighted MR imaging of breast cancer at 3.0 tesla: comparison of different curve-fitting methods. J Magn Reson Imaging 42(2):362–370
Fusco R, Sansone M, Petrillo A (2015) The use of the Levenberg-Marquardt and variable projection curve-fitting algorithm in intravoxel incoherent motion method for DW-MRI data analysis. Appl Magn Reson 46(5):551–558
Seber GAF, Wild CJ (2003) Non-linear regression. Wiley, New York
Young Cho G, Moy L, Zhang JL, Baete S, Lattanzi R, Moccaldi M, Babb JS, Kim S, Sodickson DK, Sigmund EE (2014) Comparison of fitting methods and b-value sampling strategies for intravoxel incoherent motion in breast cancer. Magn Reson Med 74(4):1077–1085
Chan JHM, Tsui EYK, Luk SH, Fung ASL, Yuen MK, Szeto ML, Cheung YK, Wong KPC (2001) Diffusion-weighted MR imaging of the liver: distinguishing hepatic abscess from cystic or necrotic tumor. Abdom Imaging 26(2):161–165
Gyu Na Dong, Thijs Vincent N, Albers Gregory W, Moseley Michael E, Marks Michael P (2004) Diffusion-weighted MR imaging in acute ischemia: value of apparent diffusion coefficient and signal intensity thresholds in predicting tissue at risk and final infarct size. Am J Neuroradiol 25(8):1331–1336
Zhang JL, Sigmund EE, Rusinek H, Chandarana H, Storey P, Chen Q, Lee VS (2012) Optimization of b-value sampling for diffusion-weighted imaging of the kidney. Magn Reson Med 67(1):89–97
Concia M, Sprinkart AM, Penner AH, Brossart P, Gieseke J, Schild HH, Willinek WA, Mürtz P (2014) Diffusion-weighted magnetic resonance imaging of the pancreas: diagnostic benefit from an intravoxel incoherent motion model-based 3 b-value analysis. Investig Radiol 49(2):93–100
Orton MR, Collins DJ, Koh DM, Leach MO (2014) Improved intravoxel incoherent motion analysis of diffusion weighted imaging by data driven Bayesian modeling. Magn Reson Med 71(1):411–420
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest to disclose.
Ethical approval
All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Declaration of Helsinki and its later amendments or comparable ethical standards.
Informed consent
Informed consent was obtained from all individual participants in the study.
Rights and permissions
About this article
Cite this article
Fusco, R., Sansone, M. & Petrillo, A. A comparison of fitting algorithms for diffusion-weighted MRI data analysis using an intravoxel incoherent motion model. Magn Reson Mater Phy 30, 113–120 (2017). https://doi.org/10.1007/s10334-016-0591-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10334-016-0591-y