Closed‐form solution for T2 mapping with nonideal refocusing of slice selective CPMG sequences

T2 quantification with multiecho sequences is typically impaired by the contribution of stimulated echoes to the echo decay due to B1+ inhomogeneity and slice profile effects. In this work, a compact signal model based on the generating functions approach, which accounts for both sources of error, is presented.

[1]  Ray Freeman,et al.  Compensation for Pulse Imperfections in NMR Spin-Echo Experiments , 1981 .

[2]  S. Deoni,et al.  Transverse relaxation time (T2) mapping in the brain with off‐resonance correction using phase‐cycled steady‐state free precession imaging , 2009, Journal of magnetic resonance imaging : JMRI.

[3]  Rudolf Stollberger,et al.  Analysis of Carr–Purcell Sequences with Nonideal Pulses , 1995 .

[4]  Y. Zur,et al.  A phase-cycling technique for canceling spurious echoes in NMR imaging , 1987 .

[5]  A. Crawley,et al.  Errors in T2 estimation using multislice multiple‐echo imaging , 1987, Magnetic resonance in medicine.

[6]  N. Lukzen,et al.  Analytical derivation of multiple spin echo amplitudes with arbitrary refocusing angle. , 2007, Journal of magnetic resonance.

[7]  G. Wright,et al.  T2 Accuracy on a whole‐body imager , 1997, Magnetic resonance in medicine.

[8]  P Wach,et al.  Imaging of the active B1 field in vivo , 1996, Magnetic resonance in medicine.

[9]  J C Gore,et al.  An estimation and correction scheme for system imperfections in multiple‐echo magnetic resonance imaging , 1987, Magnetic resonance in medicine.

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

[11]  J C Gore,et al.  Errors in the measurements of T2 using multiple‐echo MRI techniques. I. Effects of radiofrequency pulse imperfections , 1986, Magnetic resonance in medicine.

[12]  Mihaela Pop,et al.  Myocardial BOLD imaging at 3 T using quantitative T2: Application in a myocardial infarct model , 2011, Magnetic resonance in medicine.

[13]  M S Roos,et al.  Effects of slice selection and diffusion on T2 measurement , 1987, Magnetic resonance in medicine.

[14]  Andrew A. Maudsley,et al.  Modified Carr-Purcell-Meiboom-Gill sequence for NMR fourier imaging applications , 1986 .

[15]  J. Gore,et al.  Errors in the measurements of T2 using multiple‐echo MRI techniques. II. Effects of static field inhomogeneity , 1986, Magnetic resonance in medicine.

[16]  M. Bronskill,et al.  T1, T2 relaxation and magnetization transfer in tissue at 3T , 2005, Magnetic resonance in medicine.

[17]  T J Mosher,et al.  Functional cartilage MRI T2 mapping: evaluating the effect of age and training on knee cartilage response to running. , 2010, Osteoarthritis and cartilage.

[18]  A. W. M. van den Enden,et al.  Discrete Time Signal Processing , 1989 .

[19]  Adam Allerhand,et al.  Analysis of Carr—Purcell Spin‐Echo NMR Experiments on Multiple‐Spin Systems. II. The Effect of Chemical Exchange , 1966 .

[20]  T. Mosher,et al.  Cartilage MRI T2 relaxation time mapping: overview and applications. , 2004, Seminars in musculoskeletal radiology.

[21]  H. Potter,et al.  T2 quantitation of articular cartilage at 1.5 T , 2003, Journal of magnetic resonance imaging : JMRI.

[22]  Gaby S Pell,et al.  Optimized clinical T2 relaxometry with a standard CPMG sequence , 2006, Journal of magnetic resonance imaging : JMRI.

[23]  Xavier Golay,et al.  Determining the longitudinal relaxation time (T1) of blood at 3.0 Tesla , 2004, Magnetic resonance in medicine.

[24]  S. Holland,et al.  NMR relaxation times in the human brain at 3.0 tesla , 1999, Journal of magnetic resonance imaging : JMRI.

[25]  T. S. St. Pierre,et al.  Noninvasive measurement and imaging of liver iron concentrations using proton magnetic resonance. , 2005, Blood.

[26]  R. Bakshi,et al.  T1‐ and T2‐Based MRI Measures of Diffuse Gray Matter and White Matter Damage in Patients with Multiple Sclerosis , 2007, Journal of neuroimaging : official journal of the American Society of Neuroimaging.

[27]  J. Pauly,et al.  Parameter relations for the Shinnar-Le Roux selective excitation pulse design algorithm [NMR imaging]. , 1991, IEEE transactions on medical imaging.

[28]  R. Lebel,et al.  Transverse relaxometry with stimulated echo compensation , 2010, Magnetic resonance in medicine.

[29]  S. Meiboom,et al.  Modified Spin‐Echo Method for Measuring Nuclear Relaxation Times , 1958 .

[30]  A. Allerhand Analysis of Carr—Purcell Spin‐Echo NMR Experiments on Multiple‐Spin Systems. I. The Effect of Homonuclear Coupling , 1966 .

[31]  Graham Wright,et al.  Musculoskeletal MRI at 3.0 T: relaxation times and image contrast. , 2004, AJR. American journal of roentgenology.

[32]  J C Gore,et al.  Factors influencing contrast in fast spin-echo MR imaging. , 1992, Magnetic resonance imaging.

[33]  Craig K. Jones,et al.  Applications of stimulated echo correction to multicomponent T2 analysis , 2012, Magnetic resonance in medicine.

[34]  Hidehiro Watanabe,et al.  Estimation of brain iron concentration in vivo using a linear relationship between regional iron and apparent transverse relaxation rate of the tissue water at 4.7T , 2009, Magnetic resonance in medicine.

[35]  E. Purcell,et al.  Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance Experiments , 1954 .

[36]  Peter C M van Zijl,et al.  Oxygenation and hematocrit dependence of transverse relaxation rates of blood at 3T , 2007, Magnetic resonance in medicine.

[37]  G. Pike,et al.  Correction for B1 and B0 variations in quantitative T2 measurements using MRI , 2000, Magnetic resonance in medicine.

[38]  Massimo Filippi,et al.  7. Mri Assessment of Iron Deposition in Multiple Sclerosis , 2022 .

[39]  S. Ropele,et al.  Quantitative MR imaging of brain iron: a postmortem validation study. , 2010, Radiology.

[40]  Michael Garwood,et al.  Apparent transverse relaxation rate in human brain varies linearly with tissue iron concentration at 4.7 T , 2007, Magnetic resonance in medicine.

[41]  J C Gore,et al.  Effects of selective pulses on the measurement of T2 and apparent diffusion in multiecho MRI , 1987, Magnetic resonance in medicine.

[42]  A. J. Shaka,et al.  Iterative carr-purcell trains , 1988 .

[43]  F. Wiesinger,et al.  B1 mapping by Bloch‐Siegert shift , 2010, Magnetic resonance in medicine.

[44]  C. S. Poon,et al.  Practical T2 quantitation for clinical applications , 1992, Journal of magnetic resonance imaging : JMRI.