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Cumulant expansions for measuring water exchange using diffusion MRI

Ning, Lipeng; Nilsson, Markus LU ; Lasič, Samo; Westin, Carl Fredrik and Rathi, Yogesh (2018) In Journal of Chemical Physics 148(7).
Abstract

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)... (More)

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.

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organization
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type
Contribution to journal
publication status
published
subject
in
Journal of Chemical Physics
volume
148
issue
7
publisher
American Institute of Physics
external identifiers
  • scopus:85042609792
ISSN
0021-9606
DOI
10.1063/1.5014044
language
English
LU publication?
yes
id
b45c9b76-1337-4fa2-bdd3-561887d51705
date added to LUP
2018-03-08 13:10:14
date last changed
2018-06-08 03:00:37
@article{b45c9b76-1337-4fa2-bdd3-561887d51705,
  abstract     = {<p>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.</p>},
  articleno    = {074109},
  author       = {Ning, Lipeng and Nilsson, Markus and Lasič, Samo and Westin, Carl Fredrik and Rathi, Yogesh},
  issn         = {0021-9606},
  language     = {eng},
  month        = {02},
  number       = {7},
  publisher    = {American Institute of Physics},
  series       = {Journal of Chemical Physics},
  title        = {Cumulant expansions for measuring water exchange using diffusion MRI},
  url          = {http://dx.doi.org/10.1063/1.5014044},
  volume       = {148},
  year         = {2018},
}