Identification of signal bias in the variable flip angle method by linear display of the algebraic ernst equation

Magnetic Resonance in Medicine

Volumn 66, Issue 3, 2011, Pages 669-677

  Helms, Gunther ^a   Dathe, Henning ^a   Weiskopf, Nikolaus ^b   Dechent, Peter ^a  

^a UNIVERSITY MEDICAL CENTER GÖTTINGEN   (Germany)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Ernst equation; quantification; variable flip angle experiment

Indexed keywords

DATA ACQUISITION; MATHEMATICAL TRANSFORMATIONS; RELAXATION TIME;

COMPREHENSIVE ANALYSIS; ERNST EQUATION; FLIP ANGLE; LINEAR PARAMETERIZATIONS; LONGITUDINAL RELAXATION TIME; QUANTIFICATION; SLICE-SELECTIVE EXCITATIONS; SYSTEMATIC DEVIATION;

ALGEBRA;

ADULT; ALGEBRAIC ERNST EQUATION; AMPLITUDE MODULATION; ARTICLE; CEREBROSPINAL FLUID; CONTROLLED STUDY; HUMAN; HUMAN EXPERIMENT; HUMAN TISSUE; IN VIVO STUDY; LINEAR SYSTEM; NORMAL HUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; SIGNAL DETECTION; SIGNAL NOISE RATIO; SIGNAL PROCESSING; STEADY STATE; STRUCTURAL EQUATION MODELING; THREE DIMENSIONAL IMAGING; WHITE MATTER;

EID: 80051689849     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.22849     Document Type: Article

References (31)

1. Haase A, Frahm J, Matthaei D, Hänicke W, Merboldt K-D,. FLASH imaging: rapid NMR imaging using low flip angle pulses. J Magn Reson 1986; 67: 258-266.
2. Buxton RB, Edelman RR, Rosen BR, Wismer GL, Brady TJ,. Contrast in rapid MR imaging: T1- and T2-weighted imaging. JCAT 1986; 11: 7-16. (Pubitemid 17231455)
3. Helms G, Dechent P,. Increased SNR and reduced distortions by averaging multiple gradient echo signals in 3D FLASH imaging of the human brain at 3T. J Magn Reson Imaging 2009; 29: 198-204.
4. Christensen KA, Grant DM, Schulman EM, Walling C,. Optimal determination of relaxation times of Fourier transform nuclear magnetic resonance. Determination of spin-lattice relaxation times in chemically polarized species. J Phys Chem 1974; 78: 1971-1977.
5. Gupta RK,. A new look at the method of variable nutation angle for the measurement of spin-lattice relaxation time using Fourier transform NMR. J Magn Reson 1977; 25: 231-235.
6. Homer J, Beevers MS,. Driven-equilibrium single pulse observation of T1 relaxation. A re-evaluation of a rapid 'new' method for determining NMR spin-lattice relaxation times. J Magn Reson 1985; 63: 287-297.
7. Wang HZ, Riederer SJ, Lee JN,. Optimizing the precision in T1 relaxation estimation using limited flip angles. Magn Reson Med 1987; 5: 399-416. (Pubitemid 17167630)
8. Deoni SC, Peters TM, Rutt BK,. Determination of optimal angles for variable nutation proton magnetic spin-lattice, T1, and spin-spin, T2, relaxation times measurement. Magn Res Med 2004; 51: 194-199. (Pubitemid 38095718)
9. Deoni SCL, Rutt BK, Peters TM,. Rapid combined T1 and T2 mapping using gradient recalled acquisition in the steady state. Magn Reson Med 2003; 49: 515-526. (Pubitemid 36262820)
10. Chang L-C, Koay CG, Basser PJ, Pierpaoli C,. Linear least-squares method for unbiased estimation of T1 from SPGR signals. Magn Res Med 2008; 60: 496-501.
11. Preibisch C, Deichmann R,. T1 mapping using spoiled FLASH-EPI hybrid sequences and varying flip angles. Magn Res Med 2009; 62: 240-246.
12. Wang D, Shi L, Wang Y, Yuan J, Yeung D, King A, Ahuja A, Heng P,. Concatenated and parallel optimization for the estimation of T1 map in FLASH MRI with multiple flip angles. Magn Reson Med 2010; 63: 1431-1436.
13. Cheng H-LM, Wright GA,. Rapid high-resolution T1 mapping by variable flip angles: Accurate and precise measurements in the presence of radiofrequency field inhomogeneity. Magn Res Med 2006; 55: 566-574. (Pubitemid 43352555)
14. Preibisch C, Deichmann R,. Influence of RF spoiling on the stability and accuracy of T1 mapping based on spoiled FLASH with varying flip angles. Magn Res Med 2009; 61: 125-135.
15. Yarnykh VL,. Optimal radiofrequency and gradient spoiling for improved accuracy of T1 and B1 measurements using fast steady-state techniques. Magn Reson Med 2010; 63: 1610-1626.
16. Dathe H, Helms G,. Exact algebraization of the Ernst equation for spoiled gradient echo MRI. Phys Med Biol 2010; 55: 4231-4245.
17. Helms G, Dathe H, Dechent P,. Quantitative FLASH MRI at 3T using a rational approximation of the Ernst equation. Magn Res Med 2008; 59: 1196-1203.
18. Helms G, Dathe H, Kallenberg K, Dechent P,. High-resolution maps of magnetisation transfer with inherent correction for RF inhomogeneity and T1 relaxation obtained from 3D FLASH MRI. Magn Reson Med 2008; 60: 1396-1407; Erratum in: Magn Reson Med 2010;64:1856.
19. Lutti A, Hutton C, Finsterbusch J, Helms G, Weiskopf N,. Optimization and validation of methods for mapping of the radiofrequency transmit field at 3T. Magn Reson Med 2010; 64: 229-238.
20. Ashburner J, Friston KJ,. Unified segmentation. NeuroImage 2005; 26: 839-951.
21. Weiskopf N, Lutti A, Helms G, Novak M, Ashburner J, Hutton C,. Unified segmentation based correction of R1 brain maps for RF transmit field inhomogeneities (UNICORT). NeuroImage 2011; 54 (3): 2116-24.
22. Parker GL, Barker GJ, Tofts PA,. Accurate multislice gradient echo T(1) measurement in the presence of non-ideal RF pulse shape and RF field nonuniformity. Magn Reson Med 2001; 45: 838-845. (Pubitemid 32402026)
23. Helms G,. The principles of quantification applied to in vivo proton MR spectroscopy. Eur J Radiol 2008; 67: 218-229.
24. Helms G, Draganski B, Frackowiak R, Ashburner J, Weiskopf N,. Improved segmentation of deep brain grey matter structures using magnetization transfer (MT) parameter maps. NeuroImage 2009; 47: 194-198.
25. Helms G, Dathe H, Kallenberg K, Dechent P,. High-resolution maps of magnetisation transfer with inherent correction for RF inhomogeneity and T1 relaxation obtained from 3D FLASH MRI. Magn Res Med 2008; 60: 1396-1407.
26. Helms G, Finsterbusch J, Weiskopf N, Dechent P,. Rapid radiofrequency field mapping in vivo using single-shot STEAM MRI. Magn Reson Med 2008; 60: 739-743.
27. Volz S, Nöth U, Rotarska-Jagiela A, Deichmann R,. A fast B1-mapping method for the correction and normalization of magnetization transfer ratio maps at 3 T. NeuroImage 2010; 9: 3015-3026.
28. Yarnykh V,. Actual flip-angle imaging in the pulsed steady state: a method for rapid three-dimensional mapping of the transmitted radiofrequency field. Magn Reson Med 2007; 57: 192-200. (Pubitemid 46067949)
29. Lu H, Nagae-Poetscher LM, Golay X, Lin D, Pomper M, van Zijl PCM,. Routine clinical brain MRI sequences for use at 3.0 Tesla. J Magn Reson Imaging 2005; 22: 13-22. (Pubitemid 40885123)
30. Springer F, Steidle G, Martirosian P, Claussen CD, Schick F,. Effects of in-pulse transverse relaxation in 3D ultrashort echo time sequences: Analytical derivation, comparison to numerical simulation and experimental application at 3T. J Magn Reson 2010; 206: 88-96.
31. Deoni SC, Catani M,. Visualization of the deep cerebellar nuclei using quantitative T1 and rho magnetic resonance imaging at 3 Tesla NeuroImage 2007; 37: 1260-1266. (Pubitemid 47385289)