Diffusion MR is sensitive to the microstructural features of a sample. Fine-scale characteristics can be probed by employing strong diffusion gradients while the small gradient regime is determined by the cumulants of the distribution of particle displacements. However, the cumulant expansion suffers from a finite convergence radius and cannot represent the ‘localization regime’ that emerges at higher gradient strengths characterized by a stretched exponential dependence. Here, we propose a new representation for the diffusion MR signal. Our method provides not only a robust estimate of the first few cumulants but also a meaningful extrapolation of the signal decay.
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