A model for diffusive transport through a spherical interface probed by pulsed-field gradient NMR

Biophysical Journal

Volumn 74, Issue 5, 1998, Pages 2259-2271

  Price, William S ^a,c   Barzykin, Alexander V ^b   Hayamizu, Kikuko ^b   Tachiya, M ^b  

^a WATER RESEARCH INSTITUTE   (Japan)

^b NATL INST OF MAT AND CHEM RES   (Japan)

^c WATER RESEARCH INSTITUTE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

PHOSPHITE;

ARTICLE; DIFFUSION; DIFFUSION COEFFICIENT; ERYTHROCYTE; HUMAN; HUMAN CELL; NUCLEAR MAGNETIC RESONANCE;

EID: 0031956566     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(98)77935-4     Document Type: Article

References (64)

1. Abramowitz, M., and I. A. Stegun. 1970. Handbook of Mathematical Functions. Dover, New York.
2. Andrasko, J. 1976. Water diffusion permeability of human erythrocytes studied by a pulsed field gradient NMR technique. Biochim. Biophys. Acta. 428:304-311.
3. Andreasson, B., L. Nordenskioeld, and J. Schultz. 1996. Interactions of spermidine and methylspermidine with DNA studied by nuclear magnetic resonance self-diffusion measurements. Biophys. J. 70:2847-2856.
4. Balinov, B., B. Jönsson, P. Linse, and O. Söderman. 1993. The NMR self-diffusion method applied to restricted diffusion. Simulation of echo attenuation from molecules in spheres and between planes. J. Magn. Reson. A. 104:17-25.
5. Barzykin, A. V., W. S. Price, K. Hayamizu, and M. Tachiya. 1995. Pulsed field gradient NMR of diffusive transport through a spherical interface into an external medium containing a relaxation agent. J. Magn. Reson. A. 114:39-46.
6. Barzykin, A. V., and M. Tachiya. 1996. Reaction kinetics in microdisperse systems. Heterogeneous Chem. Rev. 3:105-167.
7. Barzykin, A. V., and M. Tachiya. 1998. Diffusive transport across an interface. J. Phys. Chem. In press.
8. Blees, M. H., and J. C. Leyte. 1994. The effective translational self-diffusion coefficient of small molecules in colloidal crystals of spherical particles. J. Colloid Interface Sci. 166:118-127.
9. Callaghan, P. T. 1984. Pulsed field gradient nuclear magnetic resonance as probe of liquid state molecular organization. Aust. J. Phys. 37:359-387.
10. Callaghan, P. T. 1991. Principles of Nuclear Magnetic Resonance Microscopy. Clarendon Press, Oxford.
11. Callaghan, P. T. 1995. Pulsed gradient spin echo NMR for planar, cylindrical and spherical pores under conditions of wall relaxation. J. Magn. Reson. A. 113:53-59.
12. Callaghan, P. T. 1997. A simple matrix formalism for spin echo analysis of restricted diffusion under generalized gradient waveforms. J. Magn. Reson. 129:74-84.
13. Callaghan, P. T., and A. Coy. 1992. Evidence for reptational motion and the entanglement tube in semidilute polymer solutions. Phys. Rev. Lett. 68:3176-3179.
14. Callaghan, P. T., A. Coy, D. MacGowan, K. J. Packer, and F. O. Zelaya. 1991. Diffraction-like effects in NMR diffusion of fluids in porous solids. Nature. 351:467-469.
15. Caprihan, A., L. Z. Wang, and E. Fukushima. 1996. A multiple-narrow-pulse approximation for restricted diffusion in a time-varying field gradient. J. Magn. Reson. A. 118:94-102.
16. Carslaw, H. S., and J. C. Jaeger. 1959. Conduction of Heat in Solids. Oxford University Press, Oxford.
17. 13C NMR. Biochem. Biophys. Res. Commun. 136:266-272.
18. Cory, D. G., and A. N. Garroway. 1990. Measurement of translational displacement probabilities by NMR: an indicator of compartmentation. Magn. Reson. Med. 14:435-444.
19. Coy, A., and P. T. Callaghan. 1994. Pulsed gradient spin echo nuclear magnetic resonance for molecules diffusing between partially reflecting rectangular barriers. J. Chem. Phys. 101:4599-4609.
20. Coy, A., and P. T. Callaghan. 1994. Pulsed gradient spin-echo NMR "diffusive diffraction" experiments on water surrounding close-packed polymer spheres. J. Colloid Interface Sci. 168:373-379.
21. 1H spin-echo NMR signals in human erythrocyte suspensions. The influence of in situ field gradients. Biochim. Biophys. Acta. 803:137-144.
22. Fourel, I., J. P. Guillement, and D. Le Botlan. 1994. Determination of water droplet size distributions by low resolution PFG-NMR. J. Colloid Interface Sci. 164:48-53.
23. Frey, S., J. Kärger, H. Pfeifer, and P. Walther. 1988. NMR self-diffusion measurements in regions confined by "absorbing" walls. J. Magn. Reson. 79:336-342.
24. Glasel, J. A., and K. H. Lee. 1974. On the interpretation of water nuclear magnetic resonance relaxation times in heterogeneous systems. J. Am. Chem. Soc. 96:970-978.
25. Johannesson, H., and B. Halle. 1996. Solvent diffusion in ordered macrofluids: a stochastic simulation study of the obstruction effect. J. Chem. Phys. 104:6807-6817.
26. Jonsson, B., H. Wennerström, P. G. Nilsson, and P. Linse. 1986. Self-diffusion of small molecules in colloidal systems. Colloid Polym. Sci. 264:77-88.
27. Kärger, J., and W. Heink. 1983. The propagator representation of molecular transport in microporous crystallites. J. Magn. Reson. 51:1-7.
28. Kärger, J., H. Pfeifer, and W. Heink. 1988. Principles and applications of self-diffusion measurements by nuclear magnetic resonance. Adv. Magn. Reson. 12:1-89.
29. Krishnan, V. V. 1997. Determination of oligomeric state of proteins in solution from pulsed-field-gradient self-diffusion coefficient measurements. A comparison of experimental, theoretical, and hard-sphere approximated values. J. Magn. Reson. 124:468-473.
30. Kuchel, P. W. 1990. Spin-exchange NMR spectroscopy in studies of the kinetics of enzymes and membrane transport. NMR Biomed. 3:102-119.
31. -. J. Magn. Reson. 74:1-11.
32. Kuchel, P. W., A. Coy. and P. Stilbs. 1997. NMR "diffusion-diffraction" of water revealing alignment of erythrocytes in a magnetic field and their dimensions and membrane transport characteristics. Magn. Reson. Med. 37:637-643.
33. Kuchel, P. W., A. J. Lennon, and C. J. Durrant. 1996. Analytical solutions and simulations for spin-echo measurements of diffusion of spins in a sphere with surface and bulk relaxation. J. Magn. Reson. B. 112:1-17.
34. Lennon, A. J., N. R. Scott, B. E. Chapman, and P. W. Kuchel. 1994. Hemoglobin affinity for 2,3-biphosphoglycerate in solutions and intact erythrocytes: studies using pulsed-field gradient nuclear magnetic resonance and Monte Carlo simulations. Biophys. J. 67:2096-2109.
35. Mitra, P. P., and P. N. Sen. 1992. Effects of microgeometry and surface relaxation on NMR pulsed-field-gradient experiments: simple pore geometries. Phys. Rev. B. 45:143-156.
36. New, R. R. C. 1990. Introduction. In Liposomes: a practical approach. R. R. C. New, editor. IRL Press, Oxford. 1-32.
37. Perng, W.-C., W. S. Price, K. Hsu, and L.-P. Hwang. 1993. The effects of hypothermia on the intracellular pH of erythrocytes studied using phosphorus-31 NMR and endogenous compounds. Eur. J. Clin. Chem. Clin. Biochem. 31:413-418.
38. Potter, K., R. L. Kleinberg, F. J. Brockman, and E. W. McFarland. 1996. Assay for bacteria in porous media by diffusion-weighted NMR. J. Magn. Reson. B. 113:9-15.
39. Price, W. S. 1996. Gradient NMR. In Annual Reports on NMR Spectroscopy. G. A. Webb, editor. Academic Press, London. 51-142.
40. Price, W. S. 1997. Pulsed field gradient NMR as a tool for studying translational diffusion. Part 1. Basic theory. Concepts Magn. Reson. 9:299-336.
41. Price, W. S. 1998a. Probing molecular dynamics in biochemical and chemical systems using pulsed field gradient NMR diffusion measurements. In Recent Advances in Analytical Techniques. Atta-Ur-Rahman, editor. Gordon and Breach, Amsterdam. In press.
42. Price, W. S. 1998b. NMR imaging. In Annual Reports on NMR Spectroscopy. G. A. Webb, editor. Academic Press, London. In press.
43. Price, W. S., and Y. Arata. 1996. The manipulation of water relaxation and water suppression in biological systems using the water-PRESS pulse sequence. J. Magn. Reson. B. 112:190-192.
44. Price, W. S., B. E. Chapman, B. A. Cornell, and P. W. Kuchel. 1989a. Translational diffusion of glycine in erythrocytes measured at high resolution with pulsed field gradients. J. Magn. Reson. 83:160-166.
45. Price, W. S., K. Hayamizu, and Y. Arata. 1997a. Optimization of the water-PRESS pulse sequence and its integration into pulse sequences for studying biological molecules. J. Magn. Reson. 126:256-265.
46. Price, W. S., and P. W. Kuchel. 1990a. Hypophosphite transport in human erythrocytes studied by overdetermined one-dimensional NMR exchange analysis. NMR Biomed. 3:59-63.
47. Price, W. S., and P. W. Kuchel. 1990b. Restricted diffusion of bicarbonate and hypophosphite ions modulated by transport in suspensions of red blood cells. J. Magn. Reson. 90:100-110.
48. 31P-NMR. Biophys. Chem. 33:205-215.
49. Price, W. S., M. Nara, and Y. Arata. 1997b. A pulsed field gradient NMR study of the aggregation and hydration of parvalbumin. Biophys. Chem. 65:179-187.
50. Price, W. S., B.-C. Perng, C.-L. Tsai, and L.-P. Hwang. 1992. Microviscosity of human erythrocytes studied using hypophosphite two-spin order relaxation. Biophys. J. 61:621-630.
51. Sen, P. N., L. M. Schwartz, P. P. Mitra, and B. I. Halperin. 1994. Surface relaxation and the long-time diffusion coefficient in porous media: periodic geometries. Phys. Rev. B. 49:215-225.
52. Sheltraw, D., and V. M. Kenkre. 1996. The memory-function technique for the calculation of pulsed-gradient NMR signals in confined geometries. J. Magn. Reson. A. 122:126-136.
53. Snaar, J. E. M., and H. Van As. 1993. NMR self-diffusion measurements in a bound system with loss of magnetization at the walls. J. Magn. Reson. A. 102:318-326.
54. Stehfest, H. 1970. Numerical inversion of Laplace transforms. Commun. ACM. 13:47-49.
55. Stejskal, E. O. 1965. Use of spin echoes in a pulsed magnetic-field gradient to study anisotropic restricted diffusion and flow. J. Chem. Phys. 43: 3597-3603.
56. Stejskal, E. O., and J. E. Tanner. 1965. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J. Chem. Phys. 42:288-292.
57. Stilbs, P. 1987. Fourier transform pulsed-gradient spin-echo studies of molecular diffusion. Prog. NMR Spectrosc. 19:1-45.
58. Torrey, H. C. 1956. Bloch equations with diffusion terms. Phys. Rev. 104:563-565.
59. Van Den Enden, J. C. D. Waddington, H. Van Aalst, C. G. Van Kralingen, and K. J. Packer. 1990. Rapid determination of water droplet size distributions by PFG-NMR. J. Colloid Interface Sci. 140:105-113.
60. Van Zijl, P. C. M., C. T. W. Moonen, P. Faustino, J. Pekar, O. Kaplan, and J. S. Cohen. 1991. Complete separation of intracellular and extracellular information in NMR spectra of perfused cells by diffusion-weighted spectroscopy. Proc. Natl. Acad. Sci. USA. 88:3228-3232.
61. Waldeck, A. R., P. W. Kuchel, A. J. Lennon, and B. E. Chapman. 1997. NMR diffusion measurements to characterise membrane transport and solute binding. Prog. NMR Spectrosc. 30:39-68.
62. Wassall, S. R. 1996. Pulsed field gradient-spin echo NMR studies of water diffusion in a phospholipid model membrane. Biophys. J. 71: 2724-2732.
63. Watson, G. N. 1966. A treatise on the theory of bessel functions. Cambridge University Press, Cambridge.
64. Zwanzig, R., and A. Szabo. 1991. Time dependent rate of diffusion-influenced ligand binding to receptors on cell surfaces. Biophys. J. 60:671-678.