Analytical solution and verification of diffusion effect in SSFP.

Abstract:

:Assuming that the SSFP magnetization response maintains a steady state which is periodic in the presence of diffusion, we can solve for the diffusion effect in such sequences. Formulating a Fourier series decomposition solution to the Bloch-Torrey equation and imposing the steady-state condition, analytical expressions describing the signal decay due to diffusion are developed. Magnetization responses for any system and sequence parameters can then be obtained. Also, sensitivity to b factor changes is quite different than standard diffusion measurement techniques. Assumptions made in the solution are verified via finite difference solutions and simulations of the Bloch-Torrey equation.

journal_name

Magn Reson Med

authors

Carney CE,Wong ST,Patz S

doi

10.1002/mrm.1910190209

subject

Has Abstract

pub_date

1991-06-01 00:00:00

pages

240-6

issue

2

eissn

0740-3194

issn

1522-2594

journal_volume

19

pub_type

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