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Traditional Posters: Diffusion & Perfusion - ismrm

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1589. Implementation of the Equilateral Triangle in the Multiple Correlation Function<br />

Approach as Model Geometry for Restricted <strong>Diffusion</strong>.<br />

Frederik Bernd Laun 1 , Bram Stieltjes<br />

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

The multiple correlation function approach uses the eigensystem of the Laplace operator to compute the effect of diffusion weighting<br />

gradients much more efficiently than Monte-Carlo simulations. However the applicability is limited since the governing matrices<br />

could only be computed for few model systems. Here we present the solutions for a further model system, the equilateral triangle. One<br />

interesting finding is that the apparent diffusion coefficient for this confining geometry is not dependent on the gradient orientation for<br />

moderate b-values, while a clear orientation dependency is observed for high b-values.<br />

1590. The Effect of Metric Selection on Averaging <strong>Diffusion</strong> Tensors – When and Why Do<br />

Tensors Swell?<br />

Ofer Pasternak 1 , Nir Sochen 2 , Peter J. Basser 3<br />

1 Brigham and Women's Hosptial, Harvard Medical School, Boston, MA, United States; 2 Tel Aviv University,<br />

Israel; 3 Section on Tissue Biophysics & Biomimetics (STBB), National Institutes of Health (NIH), Bethesda,<br />

MD, United States<br />

Metric selection is an essential step in performing diffusion tensor analysis, and here we investigate the selection effect on the<br />

estimation of FA, ADC and volume of mean tensors. We use Monte-Carlo simulations to generate noisy replicates, and compare<br />

estimations using a Euclidean and a Log-Euclidean metrics. The Log-Euclidean metric decreases tensor swelling, however, it is found<br />

to introduce other types of estimation biases. We find that for the case of thermal MR noise (rician), the swelling effect reduces<br />

estimation bias, and conclude that the Euclidean metric is an appropriate selection.<br />

1591. An Improved Method for <strong>Diffusion</strong>al Kurtosis Estimation<br />

Babak A. Ardekani 1,2 , Ali Tabesh, 1,3 , Jens H. Jensen 3 , Joseph A. Helpern, 1,3 , Alvin<br />

Bachman 1 , Howard Kushner 4<br />

1 Center for Advanced Brain Imaging, The Nathan S. Kline Institute for Psychiatric Research, Orangeburg, NY,<br />

United States; 2 Department of Psychiatry, New York University School of Medicine, New York, United States;<br />

3 Department of Radiology, New York University School of Medicine, New York, NY, United States;<br />

4 Statistical Sciences and Research Division, The Nathan S. Kline Institute for Psychiatric Research,<br />

Orangeburg, NY, United States<br />

In diffusional kurtosis imaging (DKI), the non-Gaussian nature of water diffusion in biological tissue is characterized by a kurtosis<br />

parameter, estimated in every voxel from a set of diffusion-weighted image acquisitions. This paper presents an improved method for<br />

estimating the kurtosis parameter in DKI. The specific contributions of this paper are twofold. (1) We propose a new method for<br />

imposing a positive-definiteness constraint on the fourth order tensor estimates and show its particular importance in DKI. (2) We<br />

propose using Mardia’s multivariate definition of kurtosis to characterize non-Gaussian diffusion, as opposed to mean univariate<br />

kurtosis used in previous publications.<br />

1592. Supertoroid-Based Fusion of Cardiac Dt-Mri with Molecular and Physiological<br />

Information<br />

Choukri Mekkaoui 1,2 , Marcel Jackowski 3 , Roberto Martuzzi 1 , Albert Sinusas 1<br />

1 Yale University School of Medicine, New Haven, CT, United States; 2 Harvard Medical School, Boston, MA,<br />

United States; 3 University of São Paulo<br />

The supertoroid-based representation enhances the three-dimensional perception of biological tissue structure and organization using<br />

DT-MRI. The presence of two additional free parameters in the supertoroidal function allows the tuning of the glyph surface in order<br />

to highlight different structural properties. Alternatively, these parameters can be used to fuse the visualization of structure with<br />

complimentary information provided by other modalities. In this work, we combined DT-MRI, MMP-targeted 99m Tc-labeled<br />

radiotracer (RP805) uptake, and 201 Tl perfusion on a porcine heart at 2-weeks post-MI, showing that the supertoroidal model can fuse<br />

information arising from different modalities into a unique and comprehensive visualization scheme.<br />

1593. Maximum Likelihood Analysis Provides Accurate ADC Estimates from <strong>Diffusion</strong>-<br />

Weighted Prostate Images Acquired with Multichannel Coils<br />

Louisa Bokacheva 1 , Yousef Mazaheri 1,2 , Hedvig Hricak 2 , Jason Koutcher 1<br />

1 Department of Medical Physics, Memorial Sloan-Kettering Cancer Center, New York, United States;<br />

2 Department of Radiology, Memorial Sloan-Kettering Cancer Center, New York, United States<br />

<strong>Diffusion</strong>-weighted (DW) MR images are contaminated with Rician noise, which leads to bias in ADC estimates. We explore<br />

accuracy and precision of calculating ADC from DW images acquired with multiple receiver channels using noise-corrected<br />

maximum likelihood estimation and uncorrected nonlinear least-squares fitting and log-linear fitting. Using Monte Carlo simulations,<br />

phantom and in vivo imaging of human prostate we demonstrate that accounting for Rician noise is important for images with variable<br />

SNR, for data acquired with phased arrays, and for achieving the maximum contrast between tissues with low and high ADC, which is<br />

often required for discriminating cancer and benign tissues on ADC maps.

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