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Issues of discontinuity in the impulse residue function for deconvolution analysis of dynamic contrast‐enhanced MRI data
Author(s) -
Koh T. S.,
Cheong D. L. H.,
Hou Z.
Publication year - 2011
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.22868
Subject(s) - deconvolution , classification of discontinuities , homogeneity (statistics) , adiabatic process , impulse response , mathematics , computer science , mathematical analysis , algorithm , physics , statistics , thermodynamics
Recent dynamic contrast‐enhanced MRI studies using the adiabatic tissue homogeneity model have highlighted potential issues of difficulty in convergence during data‐fitting and reduced parameter precision, due to discontinuities in the adiabatic tissue homogeneity model. This study presents two solutions (an analytic approach and a discrete correction method) to such convergence problems and show that these problems can be attributed to an inaccurate approximation of the convolution integral based on the standard trapezoidal quadrature. It is further explained that such issues of discontinuity in the impulse residue function do not pertain only to the adiabatic tissue homogeneity model, but are generic to all tracer kinetic models, if the difference in bolus arrival time between the arterial input and tissue voxels were to be accounted for simultaneously during model‐fitting. Magn Reson Med, 2011. © 2011 Wiley‐Liss, Inc.