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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)185-195
Number of pages11
JournalJournal of Magnetic Resonance
Volume165
Issue number2
DOIs
StatePublished - Dec 2003

Keywords

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

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