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      Efficient gradient calibration based on diffusion MRI

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          Abstract

          Purpose

          To propose a method for calibrating gradient systems and correcting gradient nonlinearities based on diffusion MRI measurements.

          Methods

          The gradient scaling in x, y, and z were first offset by up to 5% from precalibrated values to simulate a poorly calibrated system. Diffusion MRI data were acquired in a phantom filled with cyclooctane, and corrections for gradient scaling errors and nonlinearity were determined. The calibration was assessed with diffusion tensor imaging and independently validated with high resolution anatomical MRI of a second structured phantom.

          Results

          The errors in apparent diffusion coefficients along orthogonal axes ranged from −9.2% ± 0.4% to + 8.8% ± 0.7% before calibration and −0.5% ± 0.4% to + 0.8% ± 0.3% after calibration. Concurrently, fractional anisotropy decreased from 0.14 ± 0.03 to 0.03 ± 0.01. Errors in geometric measurements in x, y and z ranged from −5.5% to + 4.5% precalibration and were likewise reduced to −0.97% to + 0.23% postcalibration. Image distortions from gradient nonlinearity were markedly reduced.

          Conclusion

          Periodic gradient calibration is an integral part of quality assurance in MRI. The proposed approach is both accurate and efficient, can be setup with readily available materials, and improves accuracy in both anatomical and diffusion MRI to within ±1%. Magn Reson Med 77:170–179, 2017. © 2016 The Authors Magnetic Resonance in Medicine published by Wiley Periodicals, Inc. on behalf of International Society for Magnetic Resonance in Medicine.

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          Most cited references15

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          A complete distortion correction for MR images: I. Gradient warp correction.

          MR images are known to be distorted because of both gradient nonlinearity and imperfections in the B0 field, the latter caused either by an imperfect shim or sample-induced distortions. This paper describes in detail a method for correcting the gradient warp distortion, based on a direct field mapping using a custom-built phantom with three orthogonal grids of fluid-filled rods. The key advance of the current work over previous contributions is the large volume of the mapping phantom and the large distortions (>25 mm) corrected, making the method suitable for use with large field of view, extra-cranial images. Experimental measurements on the Siemens AS25 gradient set, as installed on a Siemens Vision scanner, are compared with a theoretical description of the gradient set, based on the manufacturer's spherical harmonic coefficients. It was found that over a volume of 320x200x340 mm3 distortions can be successfully mapped to within the voxel resolution of the raw imaging data, whilst outside this volume, correction is still good but some systematic errors are present. The phenomenon of through-plane distortion (also known as 'slice warp') is examined in detail, and the perturbation it causes to the measurements is quantified and corrected. At the very edges of the region of support provided by the phantom, through-plane distortion is extreme and only partially corrected by the present method. Solutions to this problem are discussed. Both phantom and patient data demonstrate the efficacy of the gradient warp correction.
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            Analysis and generalized correction of the effect of spatial gradient field distortions in diffusion-weighted imaging.

            Nonuniformities of magnetic field gradients can cause serious artifacts in diffusion imaging. While it is well known that nonlinearities of the imaging gradients lead to image warping, those imperfections can also cause spatially dependent errors in the direction and magnitude of the diffusion encoding. This study shows that the potential errors in diffusion imaging are considerable. Further, we show that retrospective corrections can be applied to reduce these errors. A general mathematical framework was formulated to characterize the contribution of gradient nonuniformities to diffusion experiments. The gradient field was approximated using spherical harmonic expansion, and this approximation was employed (after geometric distortions were eliminated) to predict and correct the errors in diffusion encoding. Before the corrections were made, the experiments clearly revealed marked deviations of the calculated diffusivity for fields of view (FOVs) generally used in diffusion experiments. These deviations were most significant farther away from the magnet's isocenter. For an FOV of 25 cm, the resultant errors in absolute diffusivity ranged from approximately -10% to +20%. Within the same FOV, the diffusion-encoding direction and the orientation of the calculated eigenvectors can be significantly altered if the perturbations by the gradient nonuniformities are not considered. With the proposed correction scheme, most of the errors introduced by gradient nonuniformities can be removed. Copyright 2003 Wiley-Liss, Inc.
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              Test liquids for quantitative MRI measurements of self-diffusion coefficient in vivo.

              A range of liquids suitable as quality control test objects for measuring the accuracy of clinical MRI diffusion sequences (both apparent diffusion coefficient and tensor) has been identified and characterized. The self-diffusion coefficients for 15 liquids (3 cyclic alkanes: cyclohexane to cyclooctane, 9 n-alkanes: n-octane to n-hexadecane, and 3 n-alcohols: ethanol to 1-propanol were measured at 15-30 degrees C using an NMR spectrometer. Values at 22 degrees C range from 0.36 to 2.2 10(-9) m(2)s(-1). Typical 95% confidence limits are +/-2%. Temperature coefficients are 1.7-3.2% degrees C. T1 and T2 values at 1.5 T and proton density are given. n-tridecane has a diffusion coefficient close to that of normal white matter. The longer n-alkanes may be useful T2 standards. Measurements from a spin-echo MRI sequence agreed to within 2%.
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                Author and article information

                Contributors
                jurgen.schneider@cardiov.ox.ac.uk
                Journal
                Magn Reson Med
                Magn Reson Med
                10.1002/(ISSN)1522-2594
                MRM
                Magnetic Resonance in Medicine
                John Wiley and Sons Inc. (Hoboken )
                0740-3194
                1522-2594
                08 January 2016
                January 2017
                : 77
                : 1 ( doiID: 10.1002/mrm.v77.1 )
                : 170-179
                Affiliations
                [ 1 ] Division of Cardiovascular MedicineRadcliffe Department of Medicine, University of Oxford OxfordUnited Kingdom
                [ 2 ]British Heart Foundation (BHF) Centre of Regenerative Medicine OxfordUnited Kingdom
                Author notes
                [*] [* ]Correspondence to: Jürgen E. Schneider, Ph.D., Wellcome Trust Centre for Human Genetics (CVMed), Roosevelt Drive, Oxford, OX3 7BN, United Kingdom. E‐mail: jurgen.schneider@ 123456cardiov.ox.ac.uk
                Article
                MRM26105
                10.1002/mrm.26105
                5217059
                26749277
                45753f1a-d5e9-45ee-aac9-a6e64bcfa2ea
                © 2016 Wiley Periodicals, Inc.

                This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

                History
                : 15 September 2015
                : 09 November 2015
                : 04 December 2015
                Page count
                Figures: 6, Tables: 2, Pages: 10, Words: 6102
                Funding
                Funded by: Engineering and Physical Sciences Research Council, UK
                Award ID: EP/J013250/1
                Funded by: BHF Centre of Regenerative Medicine, Oxford
                Award ID: RM/13/3/30159
                Funded by: BHF Centre for Research Excellence
                Funded by: BHF Senior Basic Science Research Fellow
                Award ID: FS/11/50/29038
                Funded by: Wellcome Trust Core Award
                Award ID: 090532/Z/09/Z
                Categories
                Full Paper
                Imaging Methodology—Full Papers
                Custom metadata
                2.0
                mrm26105
                January 2017
                Converter:WILEY_ML3GV2_TO_NLMPMC version:5.0.0 mode:remove_FC converted:04.01.2017

                Radiology & Imaging
                gradient calibration,gradient nonlinearity,diffusion mri,quantitative mri,cyclooctane

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