Effects of Off-Resonance Irradiation, Cross-Relaxation, and Chemical Exchange on Steady-State Magnetization and Effective Spin-Lattice Relaxation Times

Journal of Magnetic Resonance

Volumn 143, Issue 2, 2000, Pages 360-375

  Kingsley, Peter B ^a,b   Monahan, W Gordon ^a,b  

^a NORTH SHORE UNIVERSITY HOSPITAL   (United States)

^b NEW YORK UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Bloch equations; Chemical exchange; Off resonance effects; Saturation transfer; T1 relaxation

Indexed keywords

EID: 0000816766     PISSN: 10907807     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmre.2000.2018     Document Type: Article

References (49)

1. A. Horská and R. G. S. Spencer, Measurement of spin-lattice relaxation times and kinetic rate constants in rat muscle using progressive partial saturation and steady-state saturation transfer, Magn. Reson. Med. 36, 232-240 (1996).
2. 15N isotope labels and the NMR technique of saturation transfer, Biochem. Biophys. Acta 829, 188-201 (1985).
3. 31P NMR studies of ATP synthesis and hydrolysis kinetics in the intact myocardium, Biochemistry 26, 7501-7510 (1987).
4. K. Ugurbil, M. Petein, R. Maidan, S. Michurski, and A. H. L. From, Measurement of an individual rate constant in the presence of multiple exchanges: Application to myocardial creatine kinase reaction, Biochemistry 25, 100-107 (1986).
5. J. R. Alger and R. G. Shulman, NMR studies of enzymatic rates in vitro and in vivo by magnetization transfer, Q. Rev. Biophys. 17, 83-124 (1984).
6. K. M. Brindle, I. D. Campbell, and R. J. Simpson, NMR methods for studying enzyme kinetics in cells and tissues, in "Biological Magnetic Resonance" (L. J. Berliner and J. Reuben, Eds.), pp. 81-127, Plenum, New York (1987).
7. S. Forsén and R. A. Hoffman, Study of moderately rapid chemical exchange reactions by means of nuclear magnetic double resonance, J. Chem. Phys. 39, 2892-2901 (1963).
8. 31P-nuclear magnetic resonance double saturation transfer measurements, Biophys. J. 54, 921-929 (1988). [published correction: Biophys. J. 54, after p. 1186 (1988)]
9. A. Horská and R. G. S. Spencer, Correctly accounting for radiofrequency spillover in saturation transfer experiments: Application to measurement of the creatine kinase reaction rate in human forearm muscle, MAGMA 5, 159-163 (1997).
10. K. Ugurbil, Magnetization-transfer measurements of individual rate constants in the presence of multiple reactions, J. Magn. Reson. 64, 207-219 (1985).
11. S. Forsén and R. A. Hoffman, Exchange rates by nuclear magnetic multiple resonance. III. Exchange reactions in systems with several nonequivalent sites, J. Chem. Phys. 40, 1189-1196 (1964).
12. C. L. Perrin and E. R. Johnston, Saturation-transfer studies of three-site exchange kinetics, J. Magn. Reson. 33, 619-626 (1979).
13. E. Baguet and C. Roby, Off-resonance irradiation effect in steady-state NMR saturation transfer, J. Magn. Reson. 128, 149-160 (1997).
14. J. R. Potts, K. Kirk, and P. W. Kuchel, Characterization of the transport of the nonelectrolyte dimethyl methylphosphonate across the red cell membrane, NMR Biomed. 1, 198-204 (1989).
15. E. R. Johnston, Magnetization transfer experiments employing continuous RF fields, Concepts Magn. Reson. 11, 89-95 (1999).
16. R. G. S. Spencer, A. Horská, J. A. Ferretti, and G. H. Weiss, Spillover and incomplete saturation in kinetic measurements, J. Magn. Reson. B 101, 294-296 (1993).
17. S. W. Homans, "A Dictionary of Concepts in NMR," Clarendon Press, Oxford (1992).
18. I. Solomon, Relaxation processes in a system of two spins, Phys. Rev. 99, 559-565 (1955).
19. J. Grad and R. G. Bryant, Nuclear magnetic cross-relaxation spectroscopy, J. Magn. Reson. 90, 1-8 (1990).
20. X. Wu, Lineshape of magnetization transfer via cross-relaxation, J. Magn. Reson. 94, 186-190 (1991).
21. H. N. Yeung and S. D. Swanson, Transient decay of longitudinal magnetization in heterogeneous spin systems under selective saturation, J. Magn. Reson. 99, 466-479 (1992).
22. S. A. Roell, W. Dreher, and D. Leibfritz, A general solution of the standard magnetization transfer model, J. Magn. Reson. 132, 96-101 (1998).
23. A. Horská, J. Horsky, and R. G. S. Spencer, Measurement of spin-lattice relaxation times in systems undergoing chemical exchange, J. Magn. Reson. A 110, 82-89 (1994).
24. F. Bloch, Nuclear induction, Phys. Rev. 70, 460-474 (1946).
25. H. C. Torrey, Transient nutations in nuclear magnetic resonance, Phys. Rev. 76, 1059-1068 (1949).
26. 2), J. Magn. Reson. 43, 328-330 (1981).
27. 2. Optimization and data analysis of the offset-saturation experiment, J. Magn. Reson. A 109, 56-64 (1994).
28. 1 in in vivo saturation transfer, J. Magn. Reson. 68, 193-197 (1986).
29. G. H. Caines and T. Schleich, Incorporation of saturation transfer into the formalism for rotating-frame spin-lattice NMR relaxation in the presence of an off-resonance-irradiation field, J. Magn. Reson. 95, 457-476 (1991).
30. G. H. Caines, T. Schleich, and J. M. Rydzewski, Incorporation of magnetization transfer into the formalism for rotating-frame spin-lattice NMR relaxation in the presence of an off-resonance-irradiation field, J. Magn. Reson. 95, 558-566 (1991).
31. I. D. Campbell, C. M. Dobson, R. G. Ratcliffe, and R. J. P. Williams, Fourier transform NMR pulse methods for the measurement of slow-exchange rates, J. Magn. Reson. 29, 397-417 (1978).
32. H. M. McConnell, Reaction rates by nuclear magnetic resonance, J. Chem. Phys. 28, 430-431 (1958).
33. R. V. Mulkern and M. L. Williams, The general solution to the Bloch equation with constant rf and relaxation terms: Application to saturation and slice selection, Med. Phys. 20, 5-13 (1993).
34. G. A. Morris and P. B. Chilvers, General analytical solutions of the Bloch equations, J. Magn. Reson. A 107, 236-238 (1994). [published correction: J. Magn. Reson. A 111, 232 (1994)]
35. P. K. Madhu and A. Kumar, Direct Cartesian-space solutions of generalized Bloch equations in the rotating frame, J. Magn. Reson. A 114, 201-211 (1995).
36. P. K. Madhu and A. Kumar, Bloch equations revisited: New analytical solutions for the generalized Bloch equations, Concepts Magn. Reson. 9, 1-12 (1997).
37. J. Schotland and J. S. Leigh, Exact solutions of the Bloch equations with n-site chemical exchange, J. Magn. Reson. 51, 48-55 (1983).
38. J. C. McGowan, III, J. Schotland, and J. S. Leigh, Jr., Oscillations, stability, and equilibrium in magnetic exchange networks, J. Magn. Reson. A 108, 201-205 (1994).
39. J. D. Roberts, The Bloch equations. How to have fun calculating what happens in NMR experiments with a personal computer, Concepts Magn. Reson. 3, 27-45 (1991).
40. P. J. Hore and K. A. McLauchlan, Chemically induced dynamic electron polarization (CIDEP) and spin-relaxation measurements by flash-photolysis electron paramagnetic resonance methods, J. Magn. Reson. 36, 129-134 (1979).
41. 2 relaxation times in rat brain and in rat brain and in rat brain tumors implanted to nude mice, Magn. Reson. Med. 4, 144-152 (1987).
42. E. Baguet and C. Roby, Fast inversion-recovery measurements in the presence of a saturating field for a two-spin system in chemical exchange, J. Magn. Reson. A 108, 189-195 (1994).
43. X. Wu and J. J. Listinsky, Effects of transverse cross relaxation on magnetization transfer, J. Magn. Reson. B 105, 73-76 (1994).
44. C. Szántay, Jr., J. Kürti, and F. Janke, A simple, geometrical approach to the steady-state solution of the Bloch equations, Concepts Magn. Reson. 3, 161-170 (1991).
45. D. Canet, "Nuclear Magnetic Resonance: Concepts and Methods," pp. 209-211, Wiley, Chichester (1996).
46. I. D. Campbell, C. M. Dobson, R. G. Ratcliffe, and R. J. P. Williams, Fourier transform NMR pulse methods for the measurement of slow-exchange rates, J. Magn. Reson. 29, 397-417 (1978).
47. W. E. Palke and J. T. Gerig, Relaxation in the presence of an rf field, Concepts Magn. Reson. 9, 347-353 (1997).
48. 1) relaxation times: An annotated bibliography, Concepts Magn. Reson. 11, 243-276 (1999).
49. P. B. Kingsley and W. G. Monahan, Corrections for off-resonance effects and incomplete saturation in conventional (two-site) saturation-transfer measurements, Magn. Reson. Med., in press (2000).