Spatially regularized estimation for the analysis of dynamic contrast‐enhanced magnetic resonance imaging data

Published on Mar 15, 2014in Statistics in Medicine2.373
· DOI :10.1002/SIM.5997
Julia C. Sommer6
Estimated H-index: 6
(LMU: Ludwig Maximilian University of Munich),
Jan Gertheiss15
Estimated H-index: 15
(GAU: University of Göttingen),
Volker Schmid51
Estimated H-index: 51
(LMU: Ludwig Maximilian University of Munich)
Sources
Abstract
Competing compartment models of different complexities have been used for the quantitative analysis of dynamic contrast-enhanced magnetic resonance imaging data. We present a spatial elastic net approach that allows to estimate the number of compartments for each voxel such that the model complexity is not fixed a priori. A multi-compartment approach is considered, which is translated into a restricted least square model selection problem. This is done by using a set of basis functions for a given set of candidate rate constants. The form of the basis functions is derived from a kinetic model and thus describes the contribution of a specific compartment. Using a spatial elastic net estimator, we chose a sparse set of basis functions per voxel, and hence, rate constants of compartments. The spatial penalty takes into account the voxel structure of an image and performs better than a penalty treating voxels independently. The proposed estimation method is evaluated for simulated images and applied to an in vivo dataset. Copyright © 2013 John Wiley & Sons, Ltd.
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References22
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#2David L. Buckley (University of Leeds)H-Index: 55
The Tofts model (TM) and extended Tofts model (ETM) have become a standard for the analysis of dynamic contrast-enhanced MRI. In this study, a mathematical analysis is used to identify exactly in which tissue types the Tofts models may be applied. The results show that the TM is accurate if and only if the tissue is weakly vascularised (small blood volume). The ETM is additionally accurate in highly perfused tissues (high blood flow). In tissues that are highly vascularised, or where tracer exch...
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Apr 14, 2010 in ISBI (International Symposium on Biomedical Imaging)
#1Julia C. Karcher (LMU: Ludwig Maximilian University of Munich)H-Index: 1
#2Volker Schmid (LMU: Ludwig Maximilian University of Munich)H-Index: 51
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