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Abstract #1998

Influence of Boundary Condition on Multiple Exponential Diffusion Phase Transition

Lingchih Lin1, Jianhui Zhong1,2

1Department of Physics & Astronomy, University of Rochester, Rochester, NY, United States; 2Department of Imaging Sciences, University of Rochester, Rochester, NY, United States

The correlation between water molecule and tissue interface can induce various diffusion diffraction patterns and lead to phase transition from mono-exponential to multi-exponential signal decay. We compared the diffusion propagator with mixed boundary conditions, (1) absorbing-permeable, (2) reflecting-permeable, to pure (3) reflecting, (4) absorbing, and (5) permeable interfaces. The local magnetization evolving from the position close to a typical boundary condition to a mixed interface can be quantified from slow, medium and fast diffusion coefficients according to the relaxation rate and diffusion time. A shift of diffraction minimum to larger q is observed between the absorbing and permeable interfaces compared to the reflecting boundary conditions.