Improved determination of spin density, T1 and T2 from a three-parameter fit to multiple-delay-multiple-echo (MDME) NMR images.

A method is presented for simultaneously determining values of relative hydrogen spin density Nr, T1 and T2 from a single set of NMR image intensities acquired in a short imaging time. Present methods use separate acquisitions and data sets to determine all three parameters. In the method presented, multiple-echo data are collected at multiple delays in virtually the same imaging time used to obtain T1 and a T2-weighted Nr from a separate saturation recovery (SR) T1 measurement. All three parameters are then determined by a three-parameter fit of a derived signal intensity equation to these multiple-delay-multiple-echo (MDME) data. This provides an inherent correction of Nr for T1 and T2 weighting without the use of sequences with TD greater than 5T1, and without further data collection for a separate T2 measurement. It also provides an effective reduction in the noise of the separate T2 measurement. A three-parameter fit to MDME data appears to be superior to the separate T1 and T2 measurements currently used to determine all three parameters. Calculations performed on CrCl3 solutions produced T1 values from 21 ms to 3.4 s, T2 values from 6 to 714 ms, and standard errors as low as 0.33%, with a net imaging time of the order of that required for routine low-noise signal intensity imaging. The method could potentially be used in NMR spectroscopy to give similar benefits.

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

[2]  A. W. Nolle,et al.  Frequency Dependence of Proton Spin Relaxation in Aqueous Solutions of Paramagnetic Ions , 1957 .

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

[4]  TEMPERATURE DEPENDENCE OF PROTON RELAXATION TIMES IN AQUEOUS SOLUTION OF PARAMAGNETIC IONS. II. CRCL3 , 1960 .

[5]  S. Meiboom,et al.  NUCLEAR MAGNETIC RESONANCE STUDY OF THE PROTON TRANSFER IN WATER , 1961 .

[6]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[7]  I. J. Lowe,et al.  Effects of Rotating Magnetic Fields on Free-Induction Decay Shapes , 1963 .

[8]  F. Noack,et al.  Kernmagnetische Relaxation und Korrelation in Zwei-Spin-Systemen , 1964 .

[9]  R. Glick,et al.  Proton Nuclear Magnetic Relaxation Studies on Water: The Rates of Acid‐ and Base‐Catalyzed Proton Exchange , 1966 .

[10]  K. Krynicki Proton spin-lattice relaxation in pure water between 0°C and 100°C , 1966 .

[11]  J. G. Powles,et al.  PROTON SPIN-LATTICE RELAXATION IN LIQUID WATER AND LIQUID AMMONIA , 1966 .

[12]  John S. Waugh,et al.  Measurement of Spin Relaxation in Complex Systems , 1968 .

[13]  R. Freeman,et al.  High-Resolution Study of NMR Spin Echoes: "J Spectra"* , 1971 .

[14]  Daniel D. Elleman,et al.  A Simple, Low Power, Multiple Pulse NMR Spectrometer , 1972 .

[15]  J. Hindman,et al.  Relaxation processes in water. A study of the proton spin‐lattice relaxation time , 1973 .

[16]  R. Vold,et al.  Errors in measurements of transverse relaxation rates , 1973 .

[17]  Baseline drift in the Carr-Purcell-Meiboom-Gill pulsed NMR experiment , 1974 .

[18]  Donald W. Marquardt,et al.  Statistical analysis of NMR spin-lattice relaxation times , 1976 .

[19]  P. Mansfield Multi-planar image formation using NMR spin echoes , 1977 .

[20]  J. Hutchison,et al.  Three-dimensional NMR imaging using selective excitation , 1978 .

[21]  George H. Weiss,et al.  The choice of optimal parameters for measurement of spin-lattice relaxation times. I. Mathematical formulation , 1980 .

[22]  J Hoenninger,et al.  Nuclear magnetic resonance whole-body imager operating at 3.5 KGauss. , 1982, Radiology.

[23]  J. Ford,et al.  Accurate T2 NMR images. , 1983, Medical physics.

[24]  A. Lent,et al.  An introduction to NMR imaging: From the Bloch equation to the imaging equation , 1983, Proceedings of the IEEE.

[25]  M Brant-Zawadzki,et al.  Cerebral abnormalities: use of calculated T1 and T2 magnetic resonance images for diagnosis. , 1984, Radiology.

[26]  T. Foster,et al.  A review of normal tissue hydrogen NMR relaxation times and relaxation mechanisms from 1-100 MHz: dependence on tissue type, NMR frequency, temperature, species, excision, and age. , 1984, Medical physics.

[27]  K Straughan,et al.  Calibration of proton density measurements in nuclear magnetic resonance imaging. , 1984, Physics in medicine and biology.

[28]  C. N. de Graaf,et al.  Derivation of quantitative information in NMR imaging: a phantom study , 1984 .

[29]  T E Conturo,et al.  AUR Memorial Award. Two computer models for selection of optimal magnetic resonance imaging (MRI) pulse sequence timing. , 1984, Investigative radiology.

[30]  R. Kurland Strategies and tactics in NMR imaging relaxation time measurements. I. Minimizing relaxation time errors due to image noise—the ideal case , 1985, Magnetic resonance in medicine.

[31]  E. Goldstein,et al.  Magnetic field dependence of proton relaxation rates in tissue with added Mn2+: Rabbit liver and kidney , 1985, Magnetic resonance in medicine.

[32]  52 DEPENDENCE OF SIGNAL INTENSITY ON T1 AND T2 IN THE MULTIPLE ECHO MRI PULSE SEQUENCE , 1985 .

[33]  J. Ford,et al.  Accurate T1 and spin density NMR images. , 1985, Medical physics.

[34]  R L Ehman,et al.  Reproducibility of T1 and T2 relaxation times calculated from routine MR imaging sequences: phantom study. , 1985, AJR. American journal of roentgenology.

[35]  G. Fullerton,et al.  Orientation of tendons in the magnetic field and its effect on T2 relaxation times. , 1985, Radiology.

[36]  Enhancement of red blood cell proton relaxation with chromium labeling. , 1986, Investigative radiology.