PMID: 8970075Jan 1, 1996Paper

The effect of diffusion and susceptibility differences on T2 measurements for fluids in porous media and biological tissues

Magnetic Resonance Imaging
G C BorgiaP Fantazzini

Abstract

A number of features of T2 measurements for fluids in porous media have shown behavior contrary to that suggested by intuition developed in other areas. For porous media with relatively uniform pore spaces the following have been observed, in each case for certain ranges only of Xv (susceptibility difference times frequency), D (diffusion coefficient), a (a pore dimension), porespace shape and distribution, echo-time t for single echoes and half-echo-spacing tau for CPMG): (1) In S(t) for FID (free induction decay, S for signal) with constant slope after an initial period of increasing slope; (2) In Ss(t) for single (subscript s) echoes linear (instead of cubic) in t after an initial period; (3) for CPMG R(tau) = 1/T2(tau) - 1/T2(tau-->0) linear in tau over a substantial range; (4) slope of R(tau) independent of D and alpha for this range; (5) slope R(s) of In Ss(t) independent of D and a, and (6) R(s)(t) and R(tau) at long times linear (instead of quadratic) in Xv. These features appear to be compatible with the assumption of a truncated Cauchy-Lorentz distribution of the local magnetic fields due to susceptibility differences. The statistics of repeated sampling of local fields in different parts of the porespace during diffu...Continue Reading

References

Dec 1, 1991·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·R N MullerA Roch
Feb 1, 1991·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·C R FiselT J Brady
Feb 1, 1991·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·P Hardy, R M Henkelman
Apr 1, 1993·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·R J Brown
Mar 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G C BorgiaP Fantazzini
Dec 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D J Bergman, K J Dunn
Aug 1, 1992·Physical Review. B, Condensed Matter· Le Doussal P, P N Sen
Jun 15, 1992·Physical Review Letters·P P Mitra Le Doussal P

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Citations

Jul 11, 2001·Magnetic Resonance Imaging·L A DavisN K Vrubel
Dec 22, 2007·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·E E SigmundT R Brown
Mar 24, 2000·Journal of Magnetic Resonance·Y Q Song
Nov 4, 1998·Journal of Magnetic Resonance·S D BeyeaT W Bremner
Jun 7, 2008·Journal of Magnetic Resonance·S H BaeteW De Neve
Jan 24, 2017·IEEE Transactions on Medical Imaging·Fang LiuAlexey A Samsonov
Jul 26, 2000·Nature·Y Q SongP N Sen
Jul 8, 2016·Physics in Medicine and Biology·Michael J KnightRisto A Kauppinen

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