Signal evolution in the local magnetic field of a capillary - analogy to the damped driven harmonic oscillator

Magnetic Resonance Imaging

Volumn 30, Issue 4, 2012, Pages 540-553

  Ziener, Christian H ^a,b   Kampf, Thomas ^b   Melkus, Gerd ^c   Jakob, Peter M ^b,d   Schlemmer, Heinz Peter ^a   Bauer, Wolfgang R ^b  

^a GERMAN CANCER RESEARCH CENTER DKFZ   (Germany)

^b UNIVERSITY OF WÜRZBURG   (Germany)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d Magnetic Resonance Bavaria   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ANIMAL EXPERIMENT; ANIMAL TISSUE; ARTICLE; BLOOD OXYGENATION; CAPILLARY; CLASSIFICATION; CONTROLLED STUDY; DIFFUSION; DIFFUSION COEFFICIENT; FEMALE; GEOMETRY; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; NONHUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; OSCILLATOR; PRIORITY JOURNAL; RAT; SKELETAL MUSCLE;

ALGORITHMS; ANIMALS; CAPILLARIES; DIFFUSION MAGNETIC RESONANCE IMAGING; FEMALE; RATS; RATS, WISTAR;

EID: 84859632276     PISSN: 0730725X     EISSN: 18735894     Source Type: Journal    
DOI: 10.1016/j.mri.2011.12.006     Document Type: Article

References (26)

1. Haacke E.M., Brown R.W., Thompson M.R., Venkatesan R. Magnetic resonance imaging: physical principles and sequence design 1999, Wiley, New York.
2. Ogawa S., Lee T.M., Kay A.R., Tank D.W. Brain magnetic resonance imaging with contrast dependent on blood oxygenation. Proc Natl Acad Sci U S A 1990, 87:9868-9872.
3. Sedlacik J., Rauscher A., Reichenbach J.R. Obtaining blood oxygenation levels from MR signal behavior in the presence of single venous vessels. Magn Reson Med 2007, 58:1035-1044.
4. Haacke E.M., Xu Y., Cheng Y.C., Reichenbach J.R. Susceptibility weighted imaging (SWI). Magn Reson Med 2004, 52:612-618.
5. Ziener C.H., Glutsch S., Jakob P.M., Bauer W.R. Spin dephasing in the dipole field around capillaries and cells: numerical solution. Phys Rev E 2009, 80:046701.
6. Bauer W.R., Nadler W., Bock M., Schad L.R., Wacker C., Hartlep A., et al. Theory of coherent and incoherent nuclear spin dephasing in the heart. Phys Rev Lett 1999, 83:4215-4218.
7. Bauer W.R., Nadler W., Bock M., Schad L.R., Wacker C., Hartlep A., et al. Theory of the BOLD effect in the capillary region: an analytical approach for the determination of T2 in the capillary network of myocardium. Magn Reson Med 1999, 41:51-62.
8. Kennan R.P., Zhong J., Gore J.C. Intravascular susceptibility contrast mechanisms in tissues. Magn Reson Med 1994, 31:9-21.
9. Ziener C.H., Kampf T., Melkus G., Herold V., Weber T., Reents G., et al. Local frequency density of states around field inhomogeneities in magnetic resonance imaging: effects of diffusion. Phys Rev E 2007, 76:031915.
10. Krogh A. The number and the distribution of capillaries in muscle with the calculation of the oxygen pressure necessary for supplying the tissue. J Physiol (Lond) 1919, 52:409-415.
11. Krogh A. The anatomy and physiology of capillaries 1924, Yale University Press, New Haven.
12. Ziener C.H., Kampf T., Herold V., Jakob P.M., Bauer W.R., Nadler W. Frequency autocorrelation function of stochastically fluctuating fields caused by specific magnetic field inhomogeneities. J Chem Phys 2008, 129:014507.
13. Dickson J.D., Ash T.W.J., Williams G.B., Sukstanskii A.L., Ansorge R.E., Yablonskiy D.A. Quantitative phenomenological model of the BOLD contrast mechanism. J Magn Reson 2011, 212:17-25.
14. Reichenbach J.R., Haacke E.M. High-resolution BOLD venographic imaging: a window into brain function. NMR Biomed 2001, 14:453-467.
15. Scheffler K., Seifritz E., Bilecen D., Venkatesan R., Hennig J., Deimling M., et al. Detection of BOLD changes by means of a frequency-sensitive true FISP technique: preliminary results. NMR Biomed 2001, 14:490-496.
16. Ruotsalainen U., Raitakari M., Nuutila P., Oikonen V., Sipilä H., Teräs M., et al. Quantitative blood flow measurement of skeletal muscle using oxygen-15-water and PET. J Nucl Med 1997, t 38:314-319.
17. Torrey H.C. Bloch equations with diffusion terms. Phys Rev 1956, 104:563-565.
18. Ziener C.H., Bauer W.R., Melkus G., Weber T., Herold V., Jakob P.M. Structure-specific magnetic field inhomogeneities and its effect on the correlation time. Magn Reson Imaging 2006, 24:1341-1347.
19. Lynden-Bell R.M. A density matrix formulation of the theory of magnetic resonance spectra in slowly reorienting systems. Mol Phys 1971, 22:837-851.
20. Dattagupta S., Blume M. Stochastic theory of spin relaxation in liquids. Phys Rev A 1976, 14:480-494.
21. Ziener C.H., Bauer W.R., Jakob P.M. Frequency distribution and signal formation around a vessel. Magn Reson Mater Phy 2005, 18:225-230.
22. Yablonskiy D.A., Haacke E.M. Theory of NMR signal behavior in magnetically inhomogeneous tissues: the static dephasing regime. Magn Reson Med 1994, 32:749-763.
23. Oberhettinger F. Tables of Bessel transforms 1972, Springer Verlag, Berlin, Heidelberg, New York.
24. Bottomley PA. Selective volume method for performing localized NMR spectroscopy, United States Patent No. 4 480 228 (1984).
25. Bottomley P.A. Spatial localization in NMR spectroscopy in vivo. Ann NY Acad Sci 1987, 508:333-348.
26. Gruetter R. Automatic, localized in vivo adjustment of all first- and second-order shim coils. Magn Reson Med 1993, 29:804-811.