Document Detail


On the design of filters for Fourier and oSVD-based deconvolution in bolus tracking perfusion MRI.
MedLine Citation:
PMID:  20512521     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
OBJECT: Bolus tracking perfusion evaluation relies on the deconvolution of a tracers concentration time-courses in an arterial and a tissue voxel following the tracer kinetic model. The object of this work is to propose a method to design a data-driven Tikhonov regularization filter in the Fourier domain and to compare it to the singular value decomposition (SVD)-based approaches using the mathematical equivalence of Fourier and circular SVD (oSVD).
MATERIALS AND METHODS: The adaptive filter is designed using Tikhonov regularization that depends on only one parameter. Using a simulation, such an optimal parameter that minimizes the sum of statistical and systematic error is determined as a function of the first moment difference between the tissue and the arterial curve and the contrast to noise ratios of the input data (CNR( a ) in arteries and CNR( t ) in tissue). The performance of the method is evaluated and compared to oSVD in simulations and measured data.
RESULTS: The proposed method yields a smaller flow underestimation especially for high flows when compared to the oSVD approach with constant threshold. However, this improvement comes to the price of an increased uncertainty of the flow values. The translation of the Tikhonov regularization parameter to an adaptive oSVD-threshold is in good agreement with the literature.
CONCLUSION: The proposed method is a comprehensive approach for the design of data-driven filters that can be easily adapted to specific needs.
Authors:
Peter Gall; Philipp Emerich; Birgitte F Kjølby; Elias Kellner; Irina Mader; Valerij G Kiselev
Publication Detail:
Type:  Journal Article     Date:  2010-05-29
Journal Detail:
Title:  Magma (New York, N.Y.)     Volume:  23     ISSN:  1352-8661     ISO Abbreviation:  MAGMA     Publication Date:  2010 Jun 
Date Detail:
Created Date:  2010-06-07     Completed Date:  2011-05-03     Revised Date:  2014-01-20    
Medline Journal Info:
Nlm Unique ID:  9310752     Medline TA:  MAGMA     Country:  Germany    
Other Details:
Languages:  eng     Pagination:  187-95     Citation Subset:  IM    
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MeSH Terms
Descriptor/Qualifier:
Blood Flow Velocity / physiology
Brain / blood supply
Cerebrovascular Circulation / physiology*
Computer Simulation
Fourier Analysis*
Humans
Magnetic Resonance Imaging / instrumentation*,  methods*
Models, Statistical
Models, Theoretical
Perfusion / instrumentation*,  methods
Time Factors
Uncertainty

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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