2010
DOI: 10.1109/tmi.2010.2049577
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Estimation of Diffusion Properties in Crossing Fiber Bundles

Abstract: Abstract-There is an ongoing debate on how to model diffusivity in fiber crossings. We propose an optimization framework for the selection of a dual tensor model and the set of diffusion weighting parameters b, such that both the diffusion shape and orientation parameters can be precisely as well as accurately estimated. For that, we have adopted the Cramér-Rao lower bound (CRLB) on the variance of the model parameters, and performed Monte Carlo simulations. We have found that the axial diffusion needs to be c… Show more

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Cited by 45 publications
(73 citation statements)
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“…Attempts to solve this problem include restricting the number of tensor components (eg. to two components, Parker et al, 2003, Caan et al, 2010, incorporating physiological constraints (Tuch et al, 2002), reducing the complexity of the model by only allowing identical prolate tensors (Tabelow et al, 2012), stabilizing the problem by using Monte-Carlo algorithms (Kreher et al, 2005), regularizing over a spatial neighborhood (Pasternak et al, 2008, Malcolm et al, 2010, and incorporating other local models to estimate the initial nonlinear optimization of the parameters of the multi-tensor model (Schultz and Kindlmann, 2010).…”
Section: Local Modelsmentioning
confidence: 99%
“…Attempts to solve this problem include restricting the number of tensor components (eg. to two components, Parker et al, 2003, Caan et al, 2010, incorporating physiological constraints (Tuch et al, 2002), reducing the complexity of the model by only allowing identical prolate tensors (Tabelow et al, 2012), stabilizing the problem by using Monte-Carlo algorithms (Kreher et al, 2005), regularizing over a spatial neighborhood (Pasternak et al, 2008, Malcolm et al, 2010, and incorporating other local models to estimate the initial nonlinear optimization of the parameters of the multi-tensor model (Schultz and Kindlmann, 2010).…”
Section: Local Modelsmentioning
confidence: 99%
“…More complex models of diffusion (e.g. [10] or [11]) were not supported by our DW-MRI data as they require the DWIs to be acquired with more than one non-zero b-value.…”
Section: Discussionmentioning
confidence: 96%
“…Notice that now the stick direction parameters (ψ 1 , φ 1 , ψ 2 , φ 2 ) are the same for each scan k. A maximum likelihood estimator using a Rician noise distribution was used to estimate the unknown parameter vector in each voxel of the intermediate space [10].…”
Section: Longitudinal Ball-and-sticks Modelmentioning
confidence: 99%
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“…Other simulation and data analysis pipelines have been also executed on grid resources using the same methodology, e.g. [16,17].…”
Section: Grid Workflow Implementationmentioning
confidence: 99%