Estimating non‐gaussian diffusion model parameters in the presence of physiological noise and rician signal bias

To assess the effects of Rician bias and physiological noise on parameter estimation for non‐Gaussian diffusion models.

[1]  Anders Kristoffersen,et al.  Statistical assessment of non‐Gaussian diffusion models , 2011, Magnetic resonance in medicine.

[2]  Lawrence L. Wald,et al.  Effect of spatial smoothing on physiological noise in high-resolution fMRI , 2006, NeuroImage.

[3]  J. Hyde,et al.  Characterization of continuously distributed cortical water diffusion rates with a stretched‐exponential model , 2003, Magnetic resonance in medicine.

[4]  A. Szafer,et al.  An analytical model of restricted diffusion in bovine optic nerve , 1997, Magnetic resonance in medicine.

[5]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[6]  D. Le Bihan,et al.  Assessment of multiexponential diffusion features as MRI cancer therapy response metrics , 2010, Magnetic resonance in medicine.

[7]  E. McVeigh,et al.  Signal-to-noise measurements in magnitude images from NMR phased arrays , 1997, Proceedings of the 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. 'Magnificent Milestones and Emerging Opportunities in Medical Engineering' (Cat. No.97CH36136).

[8]  S. Heiland,et al.  Noise correction for the exact determination of apparent diffusion coefficients at low SNR , 2001, Magnetic resonance in medicine.

[9]  T F Nonnenmacher,et al.  Anomalous diffusion of water in biological tissues. , 1996, Biophysical journal.

[10]  X Hu,et al.  Retrospective estimation and correction of physiological fluctuation in functional MRI , 1995, Magnetic resonance in medicine.

[11]  Lawrence L. Wald,et al.  Comparison of physiological noise at 1.5 T, 3 T and 7 T and optimization of fMRI acquisition parameters , 2005, NeuroImage.

[12]  Stephan E Maier,et al.  Characterization of normal brain and brain tumor pathology by chisquares parameter maps of diffusion-weighted image data. , 2003, European journal of radiology.

[13]  Valerij G Kiselev,et al.  Is the “biexponential diffusion” biexponential? , 2007, Magnetic resonance in medicine.

[14]  J. Sijbers,et al.  Maximum likelihood estimation of signal amplitude and noise variance from MR data , 2004, Magnetic resonance in medicine.

[15]  J. Hyde,et al.  Intravoxel distribution of DWI decay rates reveals C6 glioma invasion in rat brain , 2004, Magnetic resonance in medicine.

[16]  Anders Kristoffersen,et al.  Optimal estimation of the diffusion coefficient from non-averaged and averaged noisy magnitude data. , 2007, Journal of magnetic resonance.

[17]  T. Barrick,et al.  From diffusion‐weighted MRI to anomalous diffusion imaging , 2008, Magnetic resonance in medicine.

[18]  A. D. Bain,et al.  Characterizing Nonexponential Spin-Lattice Relaxation in Solid-State NMR by Fitting to the Stretched Exponential , 1995 .

[19]  Ragini Verma,et al.  Effects of physiological noise in population analysis of diffusion tensor MRI data , 2011, NeuroImage.

[20]  J. Boire,et al.  T2 maximum likelihood estimation from multiple spin‐echo magnitude images , 1996, Magnetic resonance in medicine.

[21]  Kathleen M Schmainda,et al.  A simple method for rectified noise floor suppression: Phase‐corrected real data reconstruction with application to diffusion‐weighted imaging , 2010, Magnetic resonance in medicine.

[22]  G. L. Bretthorst,et al.  Statistical model for diffusion attenuated MR signal , 2003, Magnetic resonance in medicine.

[23]  P. Grenier,et al.  MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. , 1986, Radiology.

[24]  M. Smith,et al.  An unbiased signal-to-noise ratio measure for magnetic resonance images. , 1993, Medical physics.

[25]  S. Rice Mathematical analysis of random noise , 1944 .

[26]  R. Henkelman Measurement of signal intensities in the presence of noise in MR images. , 1985, Medical physics.

[27]  C. Westin,et al.  Multi‐component apparent diffusion coefficients in human brain † , 1999, NMR in biomedicine.

[28]  Jan Sijbers,et al.  Maximum-likelihood estimation of Rician distribution parameters , 1998, IEEE Transactions on Medical Imaging.

[29]  C. Westin,et al.  Magnetic Resonance in Medicine 51:321–330 (2004) Biexponential Diffusion Tensor Analysis of Human Brain Diffusion Data , 2022 .

[30]  Gary Box,et al.  Bayesian estimation of changes in transverse relaxation rates , 2010, Magnetic resonance in medicine.

[31]  J. Hyde,et al.  Water diffusion heterogeneity index in the human brain is insensitive to the orientation of applied magnetic field gradients , 2006, Magnetic resonance in medicine.

[32]  G. Glover,et al.  Physiological noise in oxygenation‐sensitive magnetic resonance imaging , 2001, Magnetic resonance in medicine.

[33]  P. Basser,et al.  MR diffusion tensor spectroscopy and imaging. , 1994, Biophysical journal.

[34]  H. Gudbjartsson,et al.  The rician distribution of noisy mri data , 1995, Magnetic resonance in medicine.

[35]  B. Biswal,et al.  Functional connectivity in the motor cortex of resting human brain using echo‐planar mri , 1995, Magnetic resonance in medicine.

[36]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[37]  J. Helpern,et al.  Diffusional kurtosis imaging: The quantification of non‐gaussian water diffusion by means of magnetic resonance imaging , 2005, Magnetic resonance in medicine.

[38]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[39]  D. Norris,et al.  Biexponential diffusion attenuation in various states of brain tissue: Implications for diffusion‐weighted imaging , 1996, Magnetic resonance in medicine.