Name
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, such that both the diffusion shape and orientation parameters can be precisely as well as accurately estimated. For that, we have adopted the Cramer-Rao lower bound (CRLB) on the variance of the model parameters, and performed Monte Carlo simulations. We have found that the axial diffusion lambda(vertical bar vertical bar) needs to be constrained, while an isotropic fraction can be modeled by a single parameter f(iso). Under these circumstances, the Fractional Anisotropy (FA) of both tensors can theoretically be independently estimated with a precision of 9% (at SNR = 25). Levenberg-Marquardt optimization of the Maximum Likelihood function with a Rician noise model approached this precision while the bias was insignificant. A two-element b-vector b = [10.0 3.5]. 10(3) mm(-2)s was found to be sufficient for estimating parameters of heterogeneous tissue with low error. This has allowed us to estimate consistent FA-profiles along crossing tracts. This work defines fundamental limits for comparative studies to correctly analyze crossing white matter structures. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TMI.2010.2049577 | IEEE Trans. Med. Imaging |
Keywords | Field | DocType |
Cramer-Rao analysis, diffusion properties, diffusion weighted magnetic resonance imaging, dual tensor model, Monte Carlo simulations | Cramér–Rao bound,Isotropy,Monte Carlo method,Mathematical optimization,Weighting,Tensor,Upper and lower bounds,Fractional anisotropy,Estimation theory,Mathematics | Journal |
Volume | Issue | ISSN |
29 | 8 | 0278-0062 |
Citations | PageRank | References |
6 | 0.64 | 17 |
Authors | ||
8 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthan W. A. Caan | 1 | 85 | 11.15 |
| Ganesh Khedoe | 2 | 6 | 1.31 |
| Dirk Poot | 3 | 78 | 14.04 |
| Arjan Jan den Dekker | 4 | 6 | 0.97 |
| Sílvia Delgado Olabarriaga | 5 | 105 | 17.01 |
| Kees A. Grimbergen | 6 | 26 | 3.18 |
| Lucas J. van Vliet | 7 | 842 | 113.16 |
| Frans M. Vos | 8 | 133 | 18.49 |