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Non-gaussian diffusion evaluation of the human kidney by Padé exponent model
Alexandra Ljimani1, Rotem S Lanzman1, Anja Müller-Lutz1
1University Dusseldorf, Medical Faculty, Department of Diagnostic and Interventional Radiology, Dusseldorf, Germany.
Purpose:
To evaluate the feasibility of renal diffusion quantification using the Padé exponent model (PEM) in healthy subjects.
Materials And Methods:
Diffusion measurements were completed in 10 healthy subjects (mean age, 32.4 ± 8.9 years) on a 3T MRI scanner (Magnetom Trio, Siemens AG, Germany). A respiratory-triggered echo planar imaging sequence (15 slices with 6 mm thickness; 16 b-values [0-750 s/mm2 ]; three diffusion directions; field of view: 400 × 375 mm; Matrix 192 × 192; repetition time/echo time: 3000/74 ms) was acquired in the coronal direction. Parameter maps were calculated for the monoexponential, biexponential, kurtosis models, and the PEM. A regression analysis using an R2 -test and corrected Akaike information criterion (AICc) was performed to identify the best mathematical fitting to the measured diffusion-weighted imaging signal decay.
Results:
The mathematical accuracy of the PEM was significantly higher than for the other three-parameter and the monoexponential model (P < 0.05), which enables more precise information about the deviation of the Gaussian behavior of the diffusion signal by the PEM. The biexponential model showed better fitting to the diffusion signal (medullar Rbi2 0.989 ± 0.008, AICcbi 113.3 ± 6.6; cortical Rbi2 0.992 ± 0.006, AICcbi 113.3 ± 5.2) than the three-parameter models (medullar RPadé2 0.965 ± 0.016, AICcPadé 122.6 ± 6.4, RK2 0.954 ± 0.019, AICcK 128.5 ± 6.0; cortical RPadé2 0.989 ± 0.005, AICcPadé 116.3 ± 4.4, RK2 0.985 ± 0.007, AICcK 120.4 ± 4.8). The monoexponential model fits least to the diffusion signal in the kidney (medullar Rmono2 0.898 ± 0.039, AICcmono 141.4 ± 5.6; cortical Rmono2 0.961 ± 0.013, AICcmono 135.4 ± 4.8).
Conclusion:
The PEM is a novel promising approach to quantify diffusion properties in the human kidney and might further improve functional renal MR imaging.
Level Of Evidence:
1 Technical Efficacy: Stage 1 J. Magn. Reson. Imaging 2018;47:160-167.
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