## Event Abstract

# Determination of the pore size distribution by double diffusion encoding

^{ 1}Universität zu Lübeck, Institute of Medical Engineering, Germany

Abstract
In double diffusion encoding, information on microscopic tissue structure can be derived from the dependence of the MR signal on the angle between the two diffusion gradient directions. The signal difference between identical and opposing diffusion gradient directions approximately decays exponentially when the interweighting delay is increased. The shape of this change might provide a new approach to deriving a distribution of pore sizes in tissue.
1 Background
Double diffusion weighting [1, 2] can be used to assess the mean cell size and shape. The difference between signals acquired with identical or opposite gradients scales with the pore size. When the delay between the two weightings is increased, this difference decreases [3, 4, 5]. The shape of the decrease can possibly be exploited to obtain the distribution function of pore sizes.
For small amplitudes of q = Gδγ /(2π), where G is the diffusion gradient, the double-diffusion encoded signal S(q(1),q(2)) with vectors q(i) in the two weighting periods can be approximated for spherical pores of diameter a by [6]
$\frac{\left|S(\mathit{q},\mathit{q})-S(\mathit{q},-\mathit{q})\right|}{{S}_{0}}\propto \underset{N\to \infty}{\mathrm{lim}}{B}_{N}{G}^{2}$

Keywords: Diffusion, MRI, dMRI, multidimensional, diffusion encoding

Conference: New dimensions in diffusion encoding, Fjälkinge, Sweden, 11 Jan - 14 Jan, 2016.

Presentation Type: Oral presentation

Topic: New Dimensions in Diffusion Encoding

Citation: Koch MA and Ulloa P (2016). Determination of the pore size distribution by double diffusion encoding. Front. Phys. Conference Abstract: New dimensions in diffusion encoding. doi: 10.3389/conf.FPHY.2016.01.00012

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Received: 07 Jul 2016; Published Online: 07 Jul 2016.

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Correspondence:
Dr. Patricia Ulloa, Universität zu Lübeck, Institute of Medical Engineering, Lübeck, 23562, Germany, ulloa@imt.uni-luebeck.de