Analytical solution and verification of diffusion effect in SSFP.
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.
Carney
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Brigham and Women's Hospital, Harvard Medical School, Boston, Massachusetts 02115.
Wong
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Patz
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D004058:Diffusion; D006801:Humans; D008279:Magnetic Resonance Imaging / Q000379:methods; D008833:Microcirculation / Q000502:physiology*; D008955:Models, Cardiovascular; D014018:Tissue Distribution