Definition of displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients

Nicolas F. Lori; Thomas E. Conturo; Denis Le Bihan

doi:10.1016/j.jmr.2003.08.011

Definition of displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients

Nicolas F. Lori, Thomas E. Conturo, Denis Le Bihan

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25 Scopus citations

Abstract

The displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients are discussed. Two basic physical ways of treating the diffusion phenomenon in probability terms for the finite-δ case are described. The form of the average of the displacement-specific dephasing in case of homogeneous non-restricted Gaussian diffusion are obtained by statistical analysis. Simulations are made to study the range of applicability of this formalism for the case of non-homogeneous non-restricted diffusion, and restricted diffusion inside a spherical domain.

Original language	English
Pages (from-to)	185-195
Number of pages	11
Journal	Journal of Magnetic Resonance
Volume	165
Issue number	2
DOIs	https://doi.org/10.1016/j.jmr.2003.08.011
State	Published - Dec 2003

Keywords

Diffusion MRI
Diffusion time
Displacement probability
Finite-duration gradients
Q-space
Restricted diffusion

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10.1016/j.jmr.2003.08.011

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title = "Definition of displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients",

abstract = "The displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients are discussed. Two basic physical ways of treating the diffusion phenomenon in probability terms for the finite-δ case are described. The form of the average of the displacement-specific dephasing in case of homogeneous non-restricted Gaussian diffusion are obtained by statistical analysis. Simulations are made to study the range of applicability of this formalism for the case of non-homogeneous non-restricted diffusion, and restricted diffusion inside a spherical domain.",

keywords = "Diffusion MRI, Diffusion time, Displacement probability, Finite-duration gradients, Q-space, Restricted diffusion",

author = "Lori, {Nicolas F.} and Conturo, {Thomas E.} and Bihan, {Denis Le}",

note = "Funding Information: We are grateful for the helpful statistical advice of Drs. Jerome Idier and Philipe Ciuciu, for the helpful discussion of MR technical issues with Dr. Franck Lethimonier, and by help provided by Dr. Charles Smith. Funding was provided by NIH grants R01 NS39538, P01 NS06833, and P20 MH62130.",

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doi = "10.1016/j.jmr.2003.08.011",

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T1 - Definition of displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients

AU - Lori, Nicolas F.

AU - Conturo, Thomas E.

AU - Bihan, Denis Le

N1 - Funding Information: We are grateful for the helpful statistical advice of Drs. Jerome Idier and Philipe Ciuciu, for the helpful discussion of MR technical issues with Dr. Franck Lethimonier, and by help provided by Dr. Charles Smith. Funding was provided by NIH grants R01 NS39538, P01 NS06833, and P20 MH62130.

PY - 2003/12

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N2 - The displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients are discussed. Two basic physical ways of treating the diffusion phenomenon in probability terms for the finite-δ case are described. The form of the average of the displacement-specific dephasing in case of homogeneous non-restricted Gaussian diffusion are obtained by statistical analysis. Simulations are made to study the range of applicability of this formalism for the case of non-homogeneous non-restricted diffusion, and restricted diffusion inside a spherical domain.

AB - The displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients are discussed. Two basic physical ways of treating the diffusion phenomenon in probability terms for the finite-δ case are described. The form of the average of the displacement-specific dephasing in case of homogeneous non-restricted Gaussian diffusion are obtained by statistical analysis. Simulations are made to study the range of applicability of this formalism for the case of non-homogeneous non-restricted diffusion, and restricted diffusion inside a spherical domain.

KW - Diffusion MRI

KW - Diffusion time

KW - Displacement probability

KW - Finite-duration gradients

KW - Q-space

KW - Restricted diffusion

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JF - Journal of Magnetic Resonance

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ER -

Definition of displacement probability and diffusion time in q-space magnetic resonance measurements that use finite-duration diffusion-encoding gradients

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