1996
DOI: 10.1002/mrm.1910360510
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High resolution measurement of cerebral blood flow using intravascular tracer bolus passages. Part I: Mathematical approach and statistical analysis

Abstract: The authors review the theoretical basis of determination of cerebral blood flow (CBF) using dynamic measurements of nondiffusible contrast agents, and demonstrate how parametric and nonparametric deconvolution techniques can be modified for the special requirements of CBF determination using dynamic MRI. Using Monte Carlo modeling, the use of simple, analytical residue models is shown to introduce large errors in flow estimates when actual, underlying vascular characteristics are not sufficiently described by… Show more

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Cited by 1,397 publications
(1,609 citation statements)
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References 30 publications
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“…Therefore, deconvolution of the AIF must be performed to obtain the product function CBF ⅐ R(t) (i.e., the impulse response function), and CBF can then be calculated from its initial (or maximum) value (2). The AIF represents the concentration of tracer entering the tissue at time t. Although this function can vary throughout the slice, its shape is commonly estimated from a major artery (e.g., the internal carotid artery or the middle cerebral artery).…”
Section: C(t) Is the Tissue Concentration-time Curve Aif(t) Is The Amentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, deconvolution of the AIF must be performed to obtain the product function CBF ⅐ R(t) (i.e., the impulse response function), and CBF can then be calculated from its initial (or maximum) value (2). The AIF represents the concentration of tracer entering the tissue at time t. Although this function can vary throughout the slice, its shape is commonly estimated from a major artery (e.g., the internal carotid artery or the middle cerebral artery).…”
Section: C(t) Is the Tissue Concentration-time Curve Aif(t) Is The Amentioning
confidence: 99%
“…In that work the estimated AIF was modeled as a gamma-variate function, and the tissue residue function and the vascular transport function were modeled by single-exponential functions. A dispersion range was simulated, with the dispersion range given by the value ␦ of the time constant of the VTF modeled as VTF(t) ϭ (1/␦ ⅐ exp(-t/␦), and the deconvolution was performed using singular value decomposition (SVD) (2). The main finding of that study was that dispersion can introduce substantial CBF underestimation and mean transit time (MTT) overestimation (see Fig.…”
Section: Quantification Errors Due To Bolus Dispersionmentioning
confidence: 99%
“…2. Using the arterial input function and unenhanced lung T 1 maps, time‐contrast curves can be calculated for each voxel and peak contrast, mean transit time, and pulmonary perfusion can be calculated, as previously described 20, 21. These are calculated for each voxel over the time‐course of the perfusion dataset and can be presented in a parametric map.…”
Section: Discussionmentioning
confidence: 99%
“…(4) and (7), respectively, and which should be proportional to the CM concentration, were subject to a numerical deconvolution from the arterial input function using the singular value decomposition (SVD) algorithm. ( 19 , 20 ) …”
Section: Introductionmentioning
confidence: 99%