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Том 153, кн. 1
УЧЕНЫЕ ЗАПИСКИ КАЗАНСКОГО УНИВЕРСИТЕТА
Физико-математические пауки
2011
Ильясов К.А. Количественное измерение диффузии in vivo методом магпитпо-резопапспой томографии // Учен. зап. Казан, уп-та. Сер. Физ.-матем. пауки. 2011. Т. 153, кп. 1. С. 17 37.
УДК 539.143.43
КОЛИЧЕСТВЕННОЕ ИЗМЕРЕНИЕ ДИФФУЗИИ IN VIVO МЕТОДОМ МАГНИТНО-РЕЗОНАНСНОЙ ТОМОГРАФИИ
К.А. Ильясов
Аннотация
Рассмотрены физические аспекты получения и количественной обработки диффузи-ошго-взвешеппых магпитпо-резопапспых изображений. Обсуждены источники возникновения погрешностей и искажений диффузиоппо-взвешеппых изображений и методы их коррекции и компенсации. Измеряемые количественные характеристики диффузии различаются в зависимости от микроструктуры тканей in vivo, и при корректном измерении и анализе опи могут служить индикатором патологий, в частности связанных с изменениями структуры белого вещества головного мозга.
Ключевые слова: ядерный магнитный резонанс, магпитпо-резопапспая томография. диффузиошю-взвешеппая МРТ, диффузиошю-тепзорпая МРТ, тензор диффузии, искажения токами Фуко, коррекция искажений, количественные измерения, калибровка измерений.
Summary
К,A, Ilyasuv. Quantitative Diffusion Magnetic Resonance Imaging In Vivo.
The paper deals with physical and mathematical basics for diffusion weighted MR imaging and analysis. Different sources of image distortions and corresponding methods of their correction are discussed. When accurately measured, quantitative diffusion parameters can indicate pathologies in tissue microstruct.ure and serve as a clinical diagnostic tool for different diseases such as, for example, white matter degeneration.
Key words: nuclear magnetic resonance, MRI, diffusion weighted MRI, diffusion tensor MRI, diffusion tensor, eddy currents distortions, correction of distortions, quantitative analysis, measurement calibration.
Литература
1. Сорока Л.М, Интроскопия па основе ядерного магнитного резонанса. М.: Эперго-атомиздат, 1986. 168 с.
2. Lauterbur Р.С. Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance // Nature. 1973. V. 242, No 5394. P. 190 191.
3. Le Bihan D., Breton E., Lallemand D., Grenier P., Cabanis E., Laval-Jeantet M. MR imaging of int.ravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders // Radiology. 1986. V. 161, No 2. P. 401 407.
4. Beaulieu C. The basis of anisotropic water diffusion in the nervous system a technical review // NMR Biomed. 2002. V. 15, No 7 8. P. 435 455.
5. Moseley M.E., Kucharczyk J., Mintorovitch J., Cohen Y., Kurhanewicz J., Derugin N.. Asgari H., Norman D. Diffusion-weighted MR imaging of acute stroke: correlation with T2-weighted and magnetic susceptibility-enhanced MR imaging in cats // Am. J. Neuroradiol. 1990. V. 11, No 3. P. 423 429.
6. Warach S., Gaa J., Siewert В., Wielopolski P., Edelman R.R. Acute human stroke studied by whole brain echo planar diffusion-weighted magnetic resonance imaging // Ann. Neurol. 1995. V. 37, No 2. P. 231 241.
7. Callaghan P.Т., Coy A., MacGowan D., Packer K.J., Zelaya F.O. Diffraction-like effects in NMR diffusion studies of fluids in porous solids // Nature. 1991. V. 351, No 6326. P. 467 469.
8. Damon B.M., Ding Z., Anderson A.W., Freyer A.S., Gore J.C. Validation of diffusion tensor MRI-based muscle fiber tracking // Magn. Reson. Med. 2002. V. 48, No 1. P. 97 104.
9. Sinha S., Sinha U., Edgerton V.R. In vivo diffusion tensor imaging of the human calf muscle // J. Magn. Reson. Imaging. 2006. V. 24, No 1. P. 182 190.
10. Schneider J.F., Il'yasov K.A., Boltshauser E., Hen.n.ig J., Martin E. Diffusion tensor imaging in cases of adrenoleukodyst.rophy: preliminary experience as a marker for early demyelination? // Am. J. Neuroradiol. 2003. V. 24, No 5. P. 819 824.
11. Schneider J.F., Il'yasov K.A., Hen.n.ig J., Martin E. Fast quantitative diffusion-tensor imaging of cerebral white matter from the neonatal period to adolescence // Neuroradiol. 2004. V. 46, No 4. P. 258 266.
12. Huisman T.A., Loenneker Т., Barta G., Bellemann M.E., Hennig J., Fischer J.E., Il'yasov K.A. Quantitative diffusion tensor MR imaging of the brain: field strength related variance of apparent diffusion coefficient (ADC) and fractional anisot.ropy (FA) scalars // Europ. Radiol. 2006. V. 16, No 8. P. 1651 1658.
13. Uhl M., Saueressig [/., Koehler G., Kontny U., Niemeyer C., Reichardt W., Il'yasov K., Bley Т., Langer M. Evaluation of tumour necrosis during chemotherapy wit.li diffusion-weighted MR imaging: preliminary results in osteosarcomas // Pediatric Radiol. 2006. V. 36, No 12. P. 1306 1311.
14. Uhl M., Saueressig U., van Buiren. M., Kontny U., Niemeyer C., Köhler G., Il'yasov K., Langer M. Osteosarcoma: preliminary results of in vivo assessment of tumor necrosis after chemotherapy wit.li diffusion- and perfusion-weight.ed magnetic resonance imaging // Investig. Radiol. 2006. V. 41, No 8. P. 618 623.
15. Poretti A., Boltshauser E., Loenneker Т., Valente E.M., Brancati F., Il'yasov K., Huisman T.A. Diffusion tensor imaging in Joubert. syndrome // Am. J. Neuroradiol. 2007. V. 28, No 10. P. 1929 1933.
16. Rusch. N.. Weber M., Il'yasov K.A., Lieb К., Ebert D., Hennig J., van Eist L.T. Inferior frontal white matter microst.ruct.ure and patterns of psychopat.hology in women wit.li borderline personality disorder and comorbid attention-deficit, hyperactivity disorder // Neurolmage. 2007. V. 35, No 2. P. 738 747.
17. Zamboni S.L., Loenneker Т., Boltshauser E., Martin E., Il'yasov K.A. Contribution of diffusion tensor MR imaging in detecting cerebral microst.ruct.ural changes in adults wit.li neurofibromatosis type 1 // Am. J. Neuroradiol. 2007. V. 28, No 4. P. 773 776.
18. Mori S., Crain B.J., Chacko V.P., van Zijl P.C. Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging // Ann. Neurol. 1999. V. 45, No 2. P. 265 269.
19. Conturo Т.Е., McKinstry R.C., Aronovitz J.A., Neil J.J. Diffusion MRI: precision, accuracy and How effects /,/ NMR Biomed. 1995. V. 8, No 7 8. P. 307 332.
20. Basser P. J., Mattiello J., LeBihan D. Estimation of the effective self-diffusion tensor from the NMR spin echo // J. Magn. Reson. B. 1994. V. 103, No 3. P. 247 254.
21. Basser P.J., Mattiello J., LeBihan D. MR diffusion tensor spectroscopy and imaging // Biophys. J. 1994. V. 66, No 1. P. 259 267.
22. Jones D.K., Horsfield M.A., Simmons A. Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging // Magn. Reson. Med. 1999. V. 42, No 3. P. 515 525.
23. Le Bihan D., Mangin J.F., Poupon C., Clark C.A., Pappata S., Molko N.. Chabriat H. Diffusion tensor imaging: concepts and applications // J. Magn. Reson. Imaging. 2001. V. 13, No 4,- P. 534 546.
24. Pierpaoli C., Basser P.J. Toward a quantitative assessment of diffusion anisot.ropy // Magn. Reson. Med. 1996. V. 36, No 6. P. 893 906.
25. Bastin M.E., Armitage P.A., Marshall I. A theoretical study of the effect of experimental noise on the measurement of anisot.ropy in diffusion imaging // J. Magn. Reson. Imaging. 1998. V. 16, No 7. P. 773 785.
26. Hasan K.M., Alexander A.L., Narayana P.A. Does fractional anisot.ropy have better noise immunity characteristics than relative anisot.ropy in diffusion tensor MRI? An analytical approach // Magn. Reson. Med. 2004. V. 51, No 2. P. 413 417.
27. Kingsley P.В., Monahan W.G. Cont.rast.-t.o-noise ratios of diffusion anisot.ropy indices // Magn. Reson. Med. 2005. V. 53, No 4. P. 911 918.
28. Hahn E.L. Spin echoes // Pliys. Rev. 1950. V. 80, No 4. P. 580 594.
29. Carr H.Y., Purcell E.M. Effects of diffusion on free precession in nuclear magnetic resonance experiments // Pliys. Rev. 1954. V. 94, No 3. P. 630 638.
30. Meiboom S., Gill D. Modified spin-echo method for measuring nuclear relaxation times // Rev. Sci. lustrum. 1958. V. 29, No 8. P. 688 691.
31. Robertson R.L., Maier S.E., Mulkern R.V., Vajapayam S., Robson C.D., Barnes P.D. MR line-scan diffusion imaging of the spinal cord in children // Am. J. Neuroradiol. 2000. V. 21, No 7. P. 1344 1348.
32. Абрагам А. Ядерный магнетизм. M.: Иностр. лит., 1963. 551 с.
33. Stejskal E.G. Use of spin echoes in a pulsed magnetic-field gradient, to study anisotropic, restricted diffusion and flow // J. Cliem. Pliys. 1965. V. 43, No 10. P. 3597 3603.
34. Stejskal E.G., Tanner J. E. Spin diffusion measurements: spin echoes in the presence of a time-dependent, field gradient. // J. Cliem. Pliys. 1965. V. 42, No 1. P. 288 292.
35. N orris D.G. Implications of bulk motion for diffusion-weighted imaging experiments: effects, mechanisms, and solutions // J. Magn. Reson. Imaging. 2001. V. 13, No 4. P. 486 495.
36. N orris D.G., Driesel W. Online motion correction for diffusion-weighted imaging using navigator echoes: Application to RARE imaging without, sensitivity loss // Magn. Reson. Med. 2001. V. 45, No 5. P. 729 733.
37. Gudbjartsson H., Maier S.E., Mulkern R.V., Moroez I.A., Patz S., Jolesz F.A. Line scan diffusion imaging // Magn. Reson. Med. 1996. V. 36, No 4. P. 509 519.
38. Finsterbuseh J., Frahm J. Diffusion-weighted single-shot, line scan imaging of the human brain // Magn. Reson. Med. 1999. V. 42, No 4. P. 772 778.
39. Maier S.E. Slab scan diffusion imaging // Magn. Reson. Med. 2001. V. 46, No 6. P. 1136 1143.
40. Turner R., Le Bihan D., Mtrier J., Vavrek R., Hedges L.K., Pekar J. Echo-planar imaging of int.ravoxel incoherent motion // Radiology. 1990. V. 177, No 2. P. 407 414.
41. Cohen M.S., Weisskoff R.M. Ultra-fast, imaging // J. Magn. Reson. Imaging. 1991. V. 9, No 1. P. 1 37.
42. Merboldt K.D., Hanieke W., Frahm J. Diffusion imaging using stimulated echoes // Magn. Reson. Med. 1991. V. 19, No 2. P. 233 239.
43. Merboldt K.D., Hanieke W., Bruhn H., Gyngell M.L., Frahm J. Diffusion imaging of the human brain in vivo using high-speed STEAM MRI // Magn. Reson. Med. 1992. V. 23, No 1. P. 179 192.
44. Bornert, P., Jensen D. Single-shot.-double-eclio EPI // J. Magn. Reson. Imaging. 1994. V. 12, No 7. P. 1033 1038.
45. Johnson G., Feinberg D.A., Venkataraman V. Single-shot. GRASE imaging with short, effective TEs // J. Magn. Reson. Imaging. 1996. V. 6, No 6. P. 944 947.
46. Alsop B.C. Phase insensitive preparation of single-shot. RARE: application to diffusion imaging in humans // Magn. Reson. Med. 1997. V. 38, No 4. P. 527 533.
47. Il'yasov K.A., Hen.n.ig J. Single-shot, diffusion-weighted RARE sequence: application for temperature monitoring during hyperthermia session // J. Magn. Reson. Imaging. 1998. V. 8, No 6. P. 1296 1305.
48. Li T.Q., Takahashi A.M., Hindmarsh Т., Moseley M.E. ADC mapping by means of a single-shot, spiral MRI technique with application in acute cerebral ischemia // Magn. Reson. Med. 1999. V. 41, No 1. P. 143 147.
49. Bammer R., Keeling S.L., Augustin M., Pruessmann K.P., Wolf R., Stollberger R., Hwrtung H.P., Fazekas F. Improved diffusion-weighted single-shot, echo-planar imaging (EPI) in stroke using sensitivity encoding (SENSE) // Magn. Reson. Med. 2001. V. 46, No 3. P. 548 554.
50. Bammer R. Basic principles of diffusion-weighted imaging. // Eur. J. Radiol. 2003. V. 45, No 3. P. 169 184.
51. М:тсфилд П. Быстрая магпитпо-резопапспая томография (перевод па русский) // Усп. физ. паук. 2005. Т. 175, Л» 10. С. 1044 1052.
52. Jezzard P., Barnett A.S., Pierpaoli С. Characterization of and correction for eddy current, artifacts in echo planar diffusion imaging // Magn. Reson. Med. 1998. V. 39, No 5. P. 801 812.
53. Haselgrove J.C., Moore J.R. Correction for distortion of echo-planar images used to calculate the apparent, diffusion coefficient. // Magn. Reson. Med. 1996. V. 36, No 6. P. 960 964.
54. Bastin M.E., Armitage P.A. On the use of water phantom images to calibrate and correct, eddy current, induced artefacts in MR diffusion tensor imaging // J. Magn. Reson. Imaging. 2000. V. 18, No 6. P. 681 687.
55. Il'yasov K.A., Hen.n.ig J. Single Shot. RARE Sequence with Mult.ipulse Diffusion Weighted Preparation Period: Reduction of the Artifacts and the Sensitivity to Background Gradients // Proc. Int.l. Soc. Magn. Reson. Med. 1998. V. 6. P. 657.
56. Il'yasov K.A., Zhilkin P. On Correction of Eddy Current. Induced Distortions in Diffusion Weighted Echo Planar Images with a Calibration on a Reference Phantom // Proc. Int.l. Soc. Magn. Reson. Med. 2003. V. 11. P. 2116.
57. Karlieek R.F., Lowe I.J. A modified pulsed gradient, technique for measuring diffusion in the presence of large background gradients // J. Magn. Reson. (1969). 1980. V. 37, No 1. P. 75 91.
58. Hennig J. Multieclio imaging sequences with low refocusing flip angles // J. Magn. Reson. (1969) 1988. V. 78, No 3 P. 397 407.
59. N orris D.G., Bornert P., Reese T., Leibfritz D. On the application of ultra-fast. RARE experiments. // Magn. Reson. Med. 1992. V. 27, No 1. P. 142 164.
60. Reese T.G., Heid G., Weisskoff R.M., Wedeen V.J. Reduction of eddy-curreiit.-induced distortion in diffusion MRI using a t.wice-refocused spin echo // Magn. Reson. Med. 2003. V. 49, No 1. P. 177 182.
61. Kiselev V.G. Calculation of diffusion effect, for arbitrary pulse sequences // J. Magn. Reson. 2003. V. 164, No 2. P. 205 211.
62. Hennig J. Echoes how to generate, recognize, use or avoid t.hem in MR-imaging sequences. Part. I: Fundamental and not. so fundamental properties of spin echoes // Concepts Magn. Reson. 1991. V. 3, No 3. P. 125 143.
63. Speck O., Il'yasov K., Hennig J. Correction of artifacts in DWI and BOLD single shot. RARE images with centered phase encoding // MAGMA. 1996. V. 4, No 2, Suppl. P. 71.
64. Jam H., Wehrli F.W. Determination of background gradients with diffusion MR imaging // J. Magn. Reson. Imaging. 1994. V. 4, No 6. P. 787 797.
65. J nermann T., Crelier G., Pruessmann K.P., Golay X., Netsch T., van Muiswinkel A.M., Mori S., van ZijlP.C., Valavanis A., Kollias S., Boesiger P. SENSE-DTI at. 3 T // Magn. Reson. Med. 2004. V. 51, No 2. P. 230 236.
66. Jezzard P., Balaban R.S. Correction for geometric distortion in echo planar images from B0 field variations // Magn. Reson. Med. 1995. V. 34, No 1. P. 65 73.
67. Reber P.J., Wong E.G., Buxton R.B., Frank L.R. Correction of off resonance-related distortion in echo-planar imaging using EPI-based field maps // Magn. Reson. Med. 1998. V. 39, No 2. P. 328 330.
68. Zaitsev M., Hennig J., Speck G. Point, spread function mapping with parallel imaging techniques and high acceleration factors: fast., robust., and flexible method for echo-planar imaging distortion correction // Magn. Reson. Med. 2004. V. 52, No 5. P. 1156 1166.
69. Zaitsev M., Hennig J., Il'yasov K.A. Automated Correction of EPI Geometric Distortions Applied to Diffusion Tensor Imaging // Proc. Intl. Soc. Magn. Reson. Med. 2006. V. 14. P. 1024.
70. Delakis I., Moore E.M., Leach M.G., Be Wilde J.P. Developing a quality control protocol for diffusion imaging on a clinical MRI system // Pliys. Med. Biol. 2004. V. 49, No 8. P. 1409 1422.
71. Laubach H.J., Jakob P.M., Loevblad K.G., Baird A.E., Bovo M.P., Edelman R.R., Warach S. A phantom for diffusion-weighted imaging of acute stroke // J. Magn. Reson. Imaging. 1998. V. 8, No 6. P. 1349 1354.
72. Tofts P.S., Lloyd D., Clark C.A., Barker G.J., Parker G.J., McConville P., Baldock C., Pope J.M. Test, liquids for quantitative MRI measurements of self-diffusion coefficient, in vivo // Magn. Reson. Med. 2000. V. 43, No 3. P. 368 374.
73. Holz M., Heil S.R., Sacco A. Temperature-dependent, self-diffusion coefficients of water and six selected molecular liquids for calibration in accurate 1H NMR PFG measurements // Pliys. Cliem. Cliem. Pliys. 2000. V. 2, No 20. P. 4740 4742.
74. Boujraf S., Luypaert R., Eisendrath H., Gsteaux M. Echo planar magnetic resonance imaging of anisotropic diffusion in asparagus stems // MAGMA. 2001. V. 13, No 2. P. 82 90.
75. Gullmar D., J aap Т., Bellemann M.E., Haueisen J., Reichenbach J.R. DTI measurements of isotropic and anisotropic media // Biomed. Tecli. (Berl.). 2002. V. 47, Suppl. 1, Pt. 1. P. 420 422.
76. Fieremans E., Delputte S., Debitiere К., De Deene К., Truyens В., D'Asseler Y., Achten Y., Lemahieu I., Van de Walle R. A flexible hardware phantom for validation of diffusion imaging sequences // Proc. 13t.li Ann. Meeting of ISMRM. Miami Beach. FL, USA, 2005. Abst.r. 1301.
77. Lorenz R., Bellemann M.E., Hennig J., Il'yasov K.A, Anisotropic Phantoms for Quantitative Diffusion Tensor Imaging and Fiber-Tracking Validation // Appl. Magn. Reson. 2008. V. 33, No 4. P. 419 429.
78. Il'yasov K.A. Estimation of the Cross-Terms for All B-Mat.rix Elements wit.li an Isotropic Phantom // Proc. Intl. Soc. Magn. Reson. Med. 2006. V. 14. P. 347.
Поступила в редакцию 06.07.10
Ильясов Камиль Ахатович кандидат физико-математических паук, доцепт кафедры общей физики и ученый секретарь учебпо-паучпого центра «Медицинская физика» Казанского (Приволжского) федерального университета. Е-шаП: ktimil.ilyasovegmail.com
