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Poster Sessions<br />

1581. On the Influence of the Temporal Gradient Profile on the Apparent Diffusion Coefficient in the<br />

Motional Narrowing Regime in Closed Geometries<br />

Frederik Bernd Laun 1 , Bram Stieltjes<br />

1 Medical Physics in Radiology, German Cancer Research Center, Heidelberg, Baden-Württemberg, Germany<br />

In DWI, the apparent diffusion coefficient is determined by both, the diffusion process and the temporal profile of the diffusion gradients. In this work a<br />

technique to determine the influence of the temporal gradient profile on the measured ADC is developed for the motional narrowing regime in closed<br />

geometries. It yields a direct series expansion in powers on inverse time. It is shown that the discontinuities and integrals over the derivatives of the gradient<br />

profile determine the constants of this series expansion.<br />

1582. Unifying Transverse Relaxation and Diffusion: An Effective Medium Approach<br />

Dmitry S. Novikov 1 , Valerij G. Kiselev 2<br />

1 Radiology, NYU School of Medicine, New York, NY, United States; 2 Medical Physics, Diagnostic Radiology, Uniklinikum<br />

Freiburg, Freiburg, Germany<br />

MR signal is massively volume-averaged. Which parameters of tissue microstructure can survive this averaging, and be quantified by MRI? An answer is<br />

given by the effective medium description of tissues yielding the voxel-averaged equation for the magnetization. Heterogeneous diffusivity, relaxation rate<br />

and Larmor frequency offset give rise to corrections to the magnetization dynamics. The quantifiable tissue parameters are the distinct length scales on<br />

which the local diffusivity, relaxation rate and Larmor frequency vary. The effective medium approach unifies diffusion and relaxation, focussing on the<br />

single quantity whose frequency and wavevector dependence contains all measurable information about tissue heterogeneity.<br />

1583. Estimating Model Uncertainty When Fitting Multiple B-Value Diffusion Weighted Imaging<br />

Matthew R. Orton 1 , David J. Collins 1 , Dow-Mu Koh 2 , Michael Germuska 1 , Martin O. Leach 1<br />

1 CR-UK and EPSRC Cancer Imaging Centre, Institute of Cancer Research, Sutton, Surrey, United Kingdom; 2 Department of<br />

Radiology, Royal Marsden NHS Foundation Trust, Sutton, Surrey, United Kingdom<br />

Many models have been proposed for describing diffusion-weighted data, but as the environment of the diffusion process is known to be very complex in<br />

biological systems, choosing an appropriate model is difficult. We present a Bayesian methodology for estimating the posterior probability (uncertainty) of<br />

a given selection of diffusion models, applied to clinical DWI data. This is of interest to indicate statistical model uncertainty, and therefore uncertainty in<br />

the interpretation of the data. By penalising over complicated models, this methodology provides diffusion metrics that are more stable, and therefore more<br />

sensitive to a wider range of treatment effects.<br />

1584. DWI Signal from a Medium with Heterogeneous Diffusivity<br />

Dmitry S. Novikov 1 , Valerij G. Kiselev 2<br />

1 Radiology, NYU School of Medicine, New York, NY, United States; 2 Medical Physics, Diagnostic Radiology, Uniklinikum<br />

Freiburg, Freiburg, Germany<br />

We consider the DWI signal from any medium (tissue) in which the diffusion coefficient varies in space. Using recently developed effective-medium<br />

approach, we relate the signal to the diffusivity correlation function. Explicit formulas for time-dependent diffusion coefficient and diffusional kurtosis are<br />

provided in the case when the local diffusivity varies on a well-defined length scale. Our results are numerically confirmed by the Monte-Carlo simulation of<br />

diffusion in a two-dimensional model tissue. While the DWI signal has an approximately biexponential form, it is shown to be qualitatively different from<br />

that of the two-compartment exchange (Kärger) model.<br />

1585. From Single- To Double-PFG: Gleaning New Microstructural Information in Complex Specimens<br />

Noam Shemesh 1 , Evren Özarslan 2 , Peter J. Basser 2 , Yoram Cohen 1<br />

1 School of Chemistry, Tel Aviv University, Tel Aviv, Israel; 2 Section on Tissue Biophysics and Biomimetics, NICHD, National<br />

Institutes of Health, Bethesda, MD, United States<br />

Although single-pulsed-field-gradient (s-PFG) methodologies such as DTI and the q-space approach are widely used to probe tissue microstructures, they<br />

suffer from inherent limitations, especially when specimens are characterized by randomly oriented compartments or size distributions. The double-PFG (d-<br />

PFG) is emerging as a new probe for novel microstructural information that cannot be achieved by other means. Here we demonstrate that d-PFG can be<br />

used to extract accurate compartment dimensions at low q-values both in phantoms and in biological cells which are randomly oriented, and in optic and<br />

sciatic nerves. The d-PFG may become an important MRI method in the CNS.<br />

1586. New Quantitative Indices for DWI of the Brain Tissue at High B-Values<br />

Farida Grinberg 1 , Ezequiel A. Farrher 1 , Joachim Kaffanke 1 , Ana-Maria Oros-Peusquens 1 , N. Jon Jon<br />

Shah 1,2<br />

1 Medical Imaging Physics, Institute of Neuroscience and Medicine 4, Forschungszentrum Juelich GmbH, Juelich, Germany;<br />

2 Department of Neurology, Faculty of Medicine, RWTH Aachen University, Aachen, Germany<br />

Diffusion MRI permits non-invasive probing of tissue microstructure and function and provides invaluable information in brain diagnostics. Conventional<br />

methods, however, are designed to retrieve only the average diffusion characteristics and tend to ignore deviations from simple Gaussian behaviour.<br />

Recently, increasing efforts have been dedicated to the development of the advanced approaches capable of capturing more detailed information on the<br />

propagation mechanisms. In this work, we report an in vivo diffusion study of the brain based on a detailed analysis of the attenuation patterns. New<br />

quantitative indices are suggested as map parameters and their potential use with respect to studies of the brain is discussed.

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