Exact analytical results for ADC with oscillating diffusion sensitizing gradients

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The apparent diffusion coefficient (ADC) is analyzed for the case of oscillating diffusion sensitizing gradients. Exact analytical expressions are obtained in the high-frequency expansion of the ADC for an arbitrary number of oscillations N. These expressions are universal and valid for arbitrary system geometry. The validity conditions of the high-frequency expansion of ADC are obtained in the framework of a simple 1D model of restricted diffusion. These conditions are shown to be substantially different for cos- and sin-type gradients: for the cos-type gradients, the high-frequency expansion is valid when the period of a single oscillation is smaller than the characteristic diffusion time, the frequency dependence of ADC being practically the same for any N. In contrast, for the sin-type gradients, the high-frequency regime can be achieved only when the total diffusion time is smaller than the characteristic diffusion time, the frequency dependence of ADC being different for different N.

Original languageEnglish
Pages (from-to)135-140
Number of pages6
JournalJournal of Magnetic Resonance
Volume234
DOIs
StatePublished - 2013

Keywords

  • Diffusion
  • MRI
  • Oscillating gradients

Fingerprint Dive into the research topics of 'Exact analytical results for ADC with oscillating diffusion sensitizing gradients'. Together they form a unique fingerprint.

Cite this