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Analytical solution and verification of diffusion effect in SSFP.

C E Carney·S T Wong·S Patz
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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.

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C E Carney, S T Wong, S Patz. 1991. Analytical solution and verification of diffusion effect in SSFP.. https://doi.org/10.1002/mrm.1910190209

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