An analysis is given for the accuracy and stability of some perturbation-based time-domain boundary element models (BEMs) with B-spline basis functions, solving hydrodynamic free-surface problems, including forward speed effects. The spatial convergence rate is found as a function of the order of th
Time-domain semi-parametric estimation based on a metabolite basis set
β Scribed by H. Ratiney; M. Sdika; Y. Coenradie; S. Cavassila; D. van Ormondt; D. Graveron-Demilly
- Book ID
- 102541341
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 482 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0952-3480
- DOI
- 10.1002/nbm.895
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β¦ Synopsis
A novel and fast time-domain quantitation algorithm-quantitation based on semi-parametric quantum estimation (QUEST)-invoking optimal prior knowledge is proposed and tested. This nonlinear least-squares algorithm fits a time-domain model function, made up from a basis set of quantum-mechanically simulated whole-metabolite signals, to low-SNR in vivo data. A basis set of in vitro measured signals can be used too. The simulated basis set was created with the software package NMR-SCOPE which can invoke various experimental protocols. Quantitation of 1 H short echo-time signals is often hampered by a background signal originating mainly from macromolecules and lipids. Here, we propose and compare three novel semi-parametric approaches to handle such signals in terms of bias-variance trade-off. The performances of our methods are evaluated through extensive Monte-Carlo studies. Uncertainty caused by the background is accounted for in the Crame Β΄r-Rao lower bounds calculation. Valuable insight about quantitation precision is obtained from the correlation matrices. Quantitation with QUEST of 1 H in vitro data, 1 H in vivo short echo-time and 31 P human brain signals at 1.5 T, as well as 1 H spectroscopic imaging data of human brain at 1.5 T, is demonstrated.
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