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Analytical solution and verification of diffusion effect in SSFP

✍ Scribed by C. E. Carney; S. T. S. Wong; S. Patz

Book ID
102530668
Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
319 KB
Volume
19
Category
Article
ISSN
0740-3194

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✦ Synopsis

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.

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