## Abstract A theoretical framework is presented for understanding the effects of noise on estimates of the eigenvalues and eigenvectors of the diffusion tensor at moderate to high signal‐to‐noise ratios. Image noise produces a random perturbation of the diffusion tensor. Power series solutions to
Quantitative T2 analysis: The effects of noise, regularization, and multivoxel approaches
✍ Scribed by Thorarin A. Bjarnason; Cheryl R. McCreary; Jeff F. Dunn; J. Ross Mitchell
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 180 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0740-3194
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✦ Synopsis
Abstract
Typical quantitative T~2~ (q__T__~2~) analysis involves creating T~2~ distributions using a regularized algorithm from region‐of‐interest averaged decay data. This study uses q__T__~2~ analysis of simulated and experimental decay signals to determine how (a) noise‐type, (b) regularization, and (c) region‐of‐interest versus multivoxel analyses affect T~2~ distributions. Our simulations indicate that regularization causes myelin water fraction and intra/extracellular water geometric mean T~2~ underestimation that worsens as the signal‐to‐noise ratio decreases. The underestimation was greater for intra/extracellular water geometric mean T~2~ measures using Rician noise. Simulations showed significant differences between myelin water fractions determined using region‐of‐interest and multivoxel approaches compared to the true value. The nonregularized voxel‐based approach gave the most accurate measure of myelin water fraction and intra/extracellular water geometric mean T~2~ for a given signal‐to‐noise ratio and noise type. Additionally, multivoxel analysis provides important information about the variability of the analysis. Results obtained from in vivo rat data were similar to our simulation results. In each case, a nonregularized, multivoxel analysis provided myelin water fractions significantly different from the regularized approaches and obtained the largest myelin water fraction. We conclude that quantitative T~2~ analysis is best performed using a nonregularized, multivoxel approach. Magn Reson Med, 2010. © 2009 Wiley‐Liss, Inc.
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