Cumulant expansions for measuring water exchange using diffusion MRI

Ning, LipengHarvard University,Brigham and Women's Hospital / Harvard Medical School (author)

The rate of water exchange across cell membranes is a parameter of biological interest and can be measured by diffusion magnetic resonance imaging (dMRI). In this work, we investigate a stochastic model for the diffusion-and-exchange of water molecules. This model provides a general solution for the temporal evolution of dMRI signal using any type of gradient waveform, thereby generalizing the signal expressions for the Kärger model. Moreover, we also derive a general nth order cumulant expansion of the dMRI signal accounting for water exchange, which has not been explored in earlier studies. Based on this analytical expression, we compute the cumulant expansion for dMRI signals for the special case of single diffusion encoding (SDE) and double diffusion encoding (DDE) sequences. Our results provide a theoretical guideline on optimizing experimental parameters for SDE and DDE sequences, respectively. Moreover, we show that DDE signals are more sensitive to water exchange at short-time scale but provide less attenuation at long-time scale than SDE signals. Our theoretical analysis is also validated using Monte Carlo simulations on synthetic structures.

Nilsson, MarkusLund University,Lunds universitet,Diagnostisk radiologi, Lund,Sektion V,Institutionen för kliniska vetenskaper, Lund,Medicinska fakulteten,MR Physics,Forskargrupper vid Lunds universitet,Multidimensional microstructure imaging,Diagnostic Radiology, (Lund),Section V,Department of Clinical Sciences, Lund,Faculty of Medicine,Lund University Research Groups(Swepub:lu)med-mun (author)
Lasič, SamoCR Development AB (author)
Westin, Carl FredrikHarvard University,Brigham and Women's Hospital / Harvard Medical School (author)
Rathi, YogeshBrigham and Women's Hospital / Harvard Medical School,Harvard University (author)
Harvard UniversityBrigham and Women's Hospital / Harvard Medical School (creator_code:org_t)

By the author/editor: Ning, Lipeng; Nilsson, Markus; Lasič, Samo; Westin, Carl Fre ...; Rathi, Yogesh

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Chemical Science ...; and Physical Chemist ...

MEDICAL AND HEALTH SCIENCES: MEDICAL AND HEAL ...; and Clinical Medicin ...; and Radiology Nuclea ...

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