AUTHOR=Afzali Maryam , Pieciak Tomasz , Jones Derek K. , Schneider Jürgen E. , Özarslan Evren 

TITLE=Cumulant expansion with localization: A new representation of the diffusion MRI signal

JOURNAL=Frontiers in Neuroimaging

VOLUME=1

YEAR=2022

URL=https://www.frontiersin.org/journals/neuroimaging/articles/10.3389/fnimg.2022.958680

DOI=10.3389/fnimg.2022.958680

ISSN=2813-1193

ABSTRACT=<p>Diffusion MR is sensitive to the microstructural features of a sample. Fine-scale characteristics can be probed by employing strong diffusion gradients while the low <italic>b</italic>-value regime is determined by the cumulants of the distribution of particle displacements. A signal representation based on the cumulants, however, suffers from a finite convergence radius and cannot represent the ‘localization regime' characterized by a stretched exponential decay that emerges at large gradient strengths. Here, we propose a new representation for the diffusion MR signal. Our method provides not only a robust estimate of the first three cumulants but also a meaningful extrapolation of the entire signal decay.</p>