Analysis of mcDESPOT- and CPMG-derived parameter estimates for two-component nonexchanging systems

Magnetic Resonance in Medicine

Volumn 75, Issue 6, 2016, Pages 2406-2420

  Bouhrara, Mustapha ^a   Reiter, David A ^a   Celik, Hasan ^a   Fishbein, Kenneth W ^a   Kijowski, Richard ^b   Spencer, Richard G ^a  

^a NATIONAL INSTITUTE ON AGING   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

CPMG; energy surface, accuracy; mcDESPOT; precision; quantitative MRI; sloppiness

Indexed keywords

BIOMEDICAL SIGNAL PROCESSING; MONTE CARLO METHODS; SIGNAL TO NOISE RATIO;

CPMG; ENERGY SURFACE; MCDESPOT; PRECISION; QUANTITATIVE MRIS; SLOPPINESS;

PARAMETER ESTIMATION;

ACCURACY; ANALYTIC METHOD; ARTICLE; CARL PURCELL MEIBOOM GILL METHOD; INTERMETHOD COMPARISON; MATHEMATICAL MODEL; MONTE CARLO METHOD; MULTICOMPONENT DRIVEN EQUILIBRIUM SINGLE PULSE OBSERVATION; QUANTITATIVE ANALYSIS; RELIABILITY; SIGNAL NOISE RATIO; SIGNAL PROCESSING; VALIDATION PROCESS; ALGORITHM; IMAGE PROCESSING; IMAGING PHANTOM; NUCLEAR MAGNETIC RESONANCE IMAGING; PROCEDURES; REPRODUCIBILITY;

ALGORITHMS; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; MONTE CARLO METHOD; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; SIGNAL-TO-NOISE RATIO;

EID: 84936805528     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.25801     Document Type: Article

References (90)

1. Deoni SCL, Rutt BK, Arun T, Pierpaoli C, Jones DK,. Gleaning multicomponent T1 and T2 information from steady-state imaging data. Magn Reson Med 2008; 60: 1372-1387.
2. Kolind SH, Deoni SCL,. Rapid three-dimensional multicomponent relaxation imaging of the cervical spinal cord. Magn Reson Med 2011; 65: 551-556.
3. Deoni SCL, Dean DC, O'Muircheartaigh J, Dirks H, Jerskey BA,. Investigating white matter development in infancy and early childhood using myelin water faction and relaxation time mapping. Neuroimage 2012; 63: 1038-1053.
4. Kolind S, Matthews L, Johansen-Berg H, Leite MI, Williams SCR, Deoni SCL, Palace J,. Myelin water imaging reflects clinical variability in multiple sclerosis. Neuroimage 2012; 60: 263-270.
5. O'Muircheartaigh J, Dean DC, Ginestet CE, Walker L, Waskiewicz N, Lehman K, Dirks H, Piryatinsky I, Deoni SCL, White matter development and early cognition in babies and toddlers. Human Brain Mapping 2014; 35: 4475-4487.
6. Liu F, Chaudhary R, Hurley SA, Munoz Del Rio A, Alexander AL, Samsonov A, Block WF, Kijowski R,. Rapid multicomponent T2 analysis of the articular cartilage of the human knee joint at 3.0 T. J Magn Reson Imaging 2014; 39: 1191-1197.
7. Lankford CL, Does MD,. On the inherent precision of mcDESPOT. Magn Reson Med 2013; 69: 127-136.
8. MacKay A, Whittall K, Adler J, Li D, Paty D, Graeb D,. In vivo visualization of myelin water in brain by magnetic resonance. Magn Reson Med 1994; 31: 673-677.
9. Laule C, Kozlowski P, Leung E, Li DK, Mackay AL, Moore GR,. Myelin water imaging of multiple sclerosis at 7 T: correlations with histopathology. Neuroimage 2008; 40: 1575-1580.
10. Stewart WA, MacKay AL, Whittall KP, Moore GR, Paty DW,. Spin-spin relaxation in experimental allergic encephalomyelitis. Analysis of CPMG data using a non-linear least squares method and linear inverse theory. Magn Reson Med 1993; 29: 767-775.
11. Laule C, Leung E, Lis DK, Traboulsee AL, Paty DW, MacKay AL, Moore GR,. Myelin water imaging in multiple sclerosis: quantitative correlations with histopathology. Mult Scler 2006; 12: 747-753.
12. Whittall KP, Mackay AL, Graeb DA, Nugent RA, Li DK, Paty DW,. In vivo measurement of T2 distributions and water contents in normal human brain. Magn Reson Med 1997; 37: 34-43.
13. Levesque IR, Chia CL, Pike GB,. Reproducibility of in vivo magnetic resonance imaging-based measurement of myelin water. J Magn Reson Imaging 2010; 32: 60-68.
14. Oshio K, Feinberg DA,. GRASE (gradient- and spin-echo) imaging: a novel fast MRI technique. Magn Reson Med 1991; 20: 344-349.
15. Prasloski T, Rauscher A, Mackay AL, Hodgson M, Vavasour IM, Laule C, Madler B,. Rapid whole cerebrum myelin water imaging using a 3D GRASE sequence. Neuroimage 2012; 63: 533-539.
16. Alonso-Ortiz E, Levesque IR, Pike GB,. MRI-based myelin water imaging: a technical review. Magn Reson Med 2015; 73: 70-81.
17. Zhang J, Kolind SH, Laule C, MacKay AL,. Comparison of myelin water fraction from multiecho T2 decay curve and steady-state methods. Magn Reson Med 2015; 73: 223-232.
18. Gutenkunst RN, Waterfall JJ, Casey FP, Brown KS, Myers CR, Sethna JP,. Universally sloppy parameter sensitivities in systems biology models. PLOS Comput Biol 2007; 3: 1871-1878.
19. Waterfall JJ, Casey FP, Gutenkunst RN, Brown KS, Myers CR, Brouwer PW, Elser V, Sethna JP,. Sloppy model universality class and the Vandermonde matrix. Phys Rev Letters 2006; 97: 150601.
20. Lattanzio PJ, Marshall KW, Damyanovich AZ, Peemoeller H,. Macromolecule and water magnetization exchange modeling in articular cartilage. Magn Reson Med 2000; 44: 840-851.
21. Ababneh Z, Beloeil H, Berde CB, Gambarota G, Maier SE, Mulkern RV,. Biexponential parameterization of diffusion and T2 relaxation decay curves in a rat muscle edema model: decay curve components and water compartments. Magn Reson Med 2005; 54: 524-531.
22. Diaz E, Chung CB, Bae WC, Statum S, Znamirowski R, Bydder GM, Du J,. Ultrashort echo time spectroscopic imaging (UTESI): an efficient method for quantifying bound and free water. NMR Biomed 2012; 25: 161-168.
23. Du J, Bydder GM,. Qualitative and quantitative ultrashort-TE MRI of cortical bone. NMR Biomed 2013; 26: 489-506.
24. Bouhrara M, Reiter DA, Spencer RG,. Bayesian analysis of transverse signal decay with application to human brain. Magn Reson Med 2015; 74: 785-802.
25. Spencer RG, Fishbein KW,. Measurement of spin-lattice relaxation times and concentrations in systems with chemical exchange using the one-pulse sequence: breakdown of the Ernst model for partial saturation in nuclear magnetic resonance spectroscopy. J Magn Reson 2000; 142: 120-135.
26. Deoni SCL, Rutt BK, Jones DK,. Investigating the effect of exchange and multicomponent T1 relaxation on the short repetition time spoiled steady-state signal and the DESPOT1 T1 quantification method. J Magn Reson Imaging 2007; 25: 570-578.
27. Deoni SCL, Rutt BK, Jones DK,. Investigating exchange and multicomponent relaxation in fully-balanced steady-state free precession imaging. J Magn Reson Imaging 2008; 27: 1421-1429.
28. Deoni SCL, Kolind SH,. Investigating the stability of mcDESPOT myelin water fraction values derived using a stochastic region contraction approach. Magn Reson Med 2015; 73: 161-169.
29. Berger MF, Silverman HF,. Microphone array optimization by stochastic region contraction. IEEE Trans Signal Process 1991; 39: 2377-2386.
30. Transtrum MK, Machta BB, Sethna JP,. Why are nonlinear fits to data so challenging? Phys Rev Lett 2010; 104: 060201.
31. Dauphin Y, Pascanu R, Gulcehre C, Cho K, Ganguli S, Bengio Y,. Identifying and attacking the saddle point problem in high-dimensional non-convex optimization. NIPS 2014; 2933-2941.
32. Transtrum MK, Qiu P,. Optimal experiment selection for parameter estimation in biological differential equation models. BMC Bioinformatics 2012; 13: 181.
33. Deoni SCL,. Correction of main and transmit magnetic field (B0 and B1) inhomogeneity effects in multicomponent-driven equilibrium single-pulse observation of T1 and T2. Magn Reson Med 2011; 65: 1021-1035.
34. Deoni SCL,. High-resolution T1 mapping of the brain at 3T with driven equilibrium single pulse observation of T1 with high-speed incorporation of RF field inhomogeneities (DESPOT1-HIFI). J Magn Reson Imaging 2007; 26: 1106-1111.
35. Kayvanrad MH,. Under-sampled reconstruction techniques for accelerated magnetic resonance imaging. University of Western Ontario-Electronic Thesis and Dissertation Repository; 2013. Available at: http://ir.lib.uwo.ca/etd/1880/
36. Simmons A, Tofts PS, Barker GJ, Arridge SR,. Sources of intensity nonuniformity in spin echo images at 1.5 T. Magn Reson Med 1994; 32: 121-128.
37. Glover GH, Hayes CE, Pelc NJ, Edelstein WA, Mueller OM, Hart HR, Hardy CJ, O'Donnell M, Barber WD,. Comparison of linear and circular polarization for magnetic resonance imaging. J Magn Reson 1985; 64: 255-270.
38. Bottomley PA, Andrew ER,. RF magnetic field penetration, phase shift and power dissipation in biological tissue: implications for NMR imaging. Phys Med Biol 1978; 23: 630-643.
39. Bouhrara M, Bonny JM,. B1 mapping with selective pulses. Magn Reson Med 2012; 68: 1472-1480.
40. Hennig J,. Echoes-how to generate, recognize, use or avoid them in MR-imaging sequences. Concepts Magn Reson 1991; 3: 125-142.
41. Neumann D, Blaimer M, Jakob PM, Breuer FA,. Simple recipe for accurate T2 quantification with multi spin-echo acquisitions. MAGMA 2014; 27: 567-577.
42. Prasloski T, Madler B, Xiang QS, MacKay A, Jones C,. Applications of stimulated echo correction to multicomponent T2 analysis. Magn Reson Med 2012; 67: 1803-1814.
43. Ziener CH, Kampf T, Jakob PM, Bauer WR,. Diffusion effects on the CPMG relaxation rate in a dipolar field. J Magn Reson 2010; 202: 38-42.
44. Deichmann R, Adolf H, Kuchenbrod E, Nöth U, Schwarzbauer C, Haase A,. Compensation of diffusion effects in T2 measurements. Magn Reson Med 1995; 33: 113-115.
45. Carr HY, Purcell EM,. Effects of diffusion on free precession in nuclear magnetic resonance experiments. Phys Rev 1954; 94: 630-638.
46. Carney CE, Wong ST, Patz S,. Analytical solution and verification of diffusion effect in SSFP. Magn Reson Med 1991; 19: 240-246.
47. Le Bihan D, Turner R, MacFall JR,. Effects of intravoxel incoherent motions (IVIM) in steady-state free precession (SSFP) imaging: application to molecular diffusion imaging. Magn Reson Med 1989; 10: 324-337.
48. Wu EX, Buxton RB,. Effect of diffusion on the steady-state magnetization with pulsed field gradients. J Magn Reson 1990; 90: 243-253.
49. Kristoffersen A,. Optimized quantification of diffusional non-gaussianity in the human brain. J Magn Reson Imaging 2013; 38: 1434-1444.
50. Wong ST, Roos MS,. Effects of slice selection and diffusion on T2 measurement. Magn Reson Med 1987; 5: 358-365.
51. Allerhand A, Thiele E,. Analysis of Carr-Purcell spin-echo NMR experiments on multiple-spin systems. II. The effect of chemical exchange. J Chem Phys 1966; 45: 902-916.
52. Myint W, Ishima R,. Chemical exchange effects during refocusing pulses in constant-time CPMG relaxation dispersion experiments. J Biomol NMR 2009; 45: 207-216.
53. Kalantari S, Laule C, Bjarnason TA, Vavasour IM, MacKay AL,. Insight into in vivo magnetization exchange in human white matter regions. Magn Reson Med 2011; 66: 1142-1151.
54. Majumdar S, Orphanoudakis SC, Gmitro A, O'Donnell M, Gore JC,. Errors in the measurements of T2 using multiple-echo MRI techniques. II. Effects of static field inhomogeneity. Magn Reson Med 1986; 3: 562-574.
55. Majumdar S, Gmitro A, Orphanoudakis SC, Reddy D, Gore JC,. An estimation and correction scheme for system imperfections in multiple-echo magnetic resonance imaging. Magn Reson Med 1987; 4: 203-220.
56. Knopp T, Eggers H, Dahnke H, Prestin J, Sénégas J,. Iterative off-resonance and signal decay estimation and correction for multi-echo MRI. IEEE Trans Med Imaging 2009; 28: 394-404.
57. Zweckstetter M, Holak TA,. An adiabatic multiple spin-echo pulse sequence: removal of systematic errors due to pulse imperfections and off-resonance effects. J Magn Reson 1998; 133: 134-147.
58. Zhang J, Kolind SH, Laule C, MacKay AL,. How does magnetization transfer influence mcDESPOT results? Magn Reson Med 2015; 74: 1327-1335.
59. Bieri O, Scheffler K,. Optimized balanced steady-state free precession magnetization transfer imaging. Magn Reson Med 2007; 58: 511-518.
60. Weber OM, Speier P, Scheffler K, Bieri O,. Assessment of magnetization transfer effects in myocardial tissue using balanced steady-state free precession (bSSFP) cine MRI. Magn Reson Med 2009; 62: 699-705.
61. Murase K,. Generalized equation for describing the magnetization in spoiled gradient-echo imaging. Magn Reson Imaging 2011; 29: 723-730.
62. Sled JG, Pike GB,. Quantitative interpretation of magnetization transfer in spoiled gradient echo MRI sequences. J Magn Reson 2000; 145: 24-36.
63. Allerhand A,. Analysis of Carr-Purcell spin-echo NMR experiments on multiple-spin systems. I. The effect of homonuclear coupling. J Chem Phys 1966; 44: 1-9.
64. Stables LA, Kennan RP, Anderson AW, Gore JC,. Density matrix simulations of the effects of J coupling in spin echo and fast spin echo imaging. J Magn Reson 1999; 140: 305-314.
65. Mayer D, Dreher W, Leibfritz D, Spielman DM,. RF refocused echoes of J-coupled spin systems: effects on RARE-based spectroscopic imaging. Magn Reson Med 2007; 57: 967-971.
66. Santyr GE, Henkelman RM, Bronskill MJ,. Variation in measured transverse relaxation in tissue resulting from spin locking with the CPMG sequence. J Magn Reson 1988; 79: 28-44.
67. Suh BJ, Borsa F, Torgeson DR,. Use of an alternating-phase CPMG sequence to avoid spin-locking effects in T2 measurements in solids. J Magn Reson 1994; 110: 58-61.
68. Ulmer JL, Mathews VP, Hamilton CA, Elster AD, Moran PR,. Magnetization transfer or spin-lock? An investigation of off-resonance saturation pulse imaging with varying frequency offsets. AJNR Am J Neuroradiol 1996; 17: 805-819.
69. Rebuzzi M, Vinicola V, Taggi F, Sabatini U, Wehrli FW, Capuani S,. Potential diagnostic role of the MRI-derived internal magnetic field gradient in calcaneus cancellous bone for evaluating postmenopausal osteoporosis at 3T. Bone 2013; 57: 155-163.
70. Washburn KE, Eccles CD, Callaghan PT,. The dependence on magnetic field strength of correlated internal gradient relaxation time distributions in heterogeneous materials. J Magn Reson 2008; 194: 33-40.
71. Seland JG, Washburn KE, Anthonsen HW, Krane J,. Correlations between diffusion, internal magnetic field gradients, and transverse relaxation in porous systems containing oil and water. Phys Rev 2004; 70: 051305.
72. Sun B, Dunn KJ,. Probing the internal field gradients of porous media. Phys Rev E 2002; 65: 051309.
73. 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 Reson Med 2009; 61: 125-135.
74. 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.
75. Zur Y, Wood ML, Neuringer LJ,. Spoiling of transverse magnetization in steady-state sequences. Magn Reson Med 1991; 21: 251-263.
76. Zheng S, Xia Y,. On the measurement of multi-component T2 relaxation in cartilage by MR spectroscopy and imaging. Magn Reson Imaging 2010; 28: 537-545.
77. Levesque IR, Chia CLL, Pike GB,. Reproducibility of in vivo magnetic resonance imaging-based measurement of myelin water. J Magn Reson Imaging 2010; 32: 60-68.
78. Wang N, Xia Y,. Anisotropic analysis of multi-component T2 and T1ρ relaxations in Achilles tendon by NMR spectroscopy and microscopic MRI. J Magn Reson Imaging 2013; 38: 625-633.
79. Wang N, Xia Y,. Experimental issues in the measurement of multi-component relaxation times in articular cartilage by microscopic MRI. J Magn Reson 2013; 235: 15-25.
80. Gorman JD, Hero AO,. Lower bounds for parametric estimation with constraints. IEEE Trans Inform Theory 1990; 26: 1285-1301.
81. Hurley SA, Alexander AL,. Assessment of mcDESPOT precision using constrained estimation. In Proceedings of the 21st Annual Meeting of ISMRM, Salt Lake City, Utah, USA, 2013. p. 3144.
82. Monteilhet L, Korb JP, Mitchell J, McDonald PJ,. Observation of exchange of micropore water in cement pastes by two-dimensional T2-T2 nuclear magnetic resonance relaxometry. Physical Review E 2006; 74: 061404.
83. Lin PC, Irrechukwu O, Roque R, Hancock B, Fishbein KW, Spencer RG,. Multivariate analysis of cartilage degradation using the support vector machine algorithm. Magn Reson Med 2012; 67: 1815-1826.
84. Hargreaves BA, Vasanawala SS, Pauly JM, Nishimura DG,. Characterization and reduction of the transient response in steady-state MR imaging. Magn Reson Med 2001; 46: 149-158.
85. Deoni SCL, Ward HA, Peters TM, Rutt BK,. Rapid T2 estimation with phase-cycled variable nutation steady-state free precession. Magn Reson Med 2004; 52: 435-439.
86. Deoni SCL,. Transverse relaxation time (T2) mapping in the brain with off-resonance correction using phase-cycled steady-state free precession imaging. J Magn Reson Imaging 2009; 30: 411-417.
87. Anastasiou A, Hall LD,. Optimisation of T2 and M0 measurements of bi-exponential systems. Magn Reson Imaging 2004; 22: 67-80.
88. Lebel M, Wilman AH,. Transverse relaxometry with stimulated echo compensation. Magn Reson Med 2010; 64: 1005-1014.
89. Bouhrara M, Reiter DA, Celik H, Bonny JM, Lukas V, Fishbein KW, Spencer RG,. Incorporation of Rician noise in the analysis of biexponential transverse relaxation in cartilage using a multiple gradient echo sequence at 3 and 7 Tesla. Magn Reson Med 2015; 73: 352-366.
90. Celik H, Bouhrara M, Reiter DA, Fishbein KW, Spencer RG,. Stabilization of the inverse Laplace transform of multiexponential decay through introduction of a second dimension. J Magn Reson 2013; 236: 134-139.