New Hybrid Technique for Accurate and Reproducible
Quantitation of Dynamic Contrast-Enhanced MRI Data
Ka-Loh Li
1
and Alan Jackson
2
*
The accuracy and precision of two major approaches for ana-
lyzing dynamic MRI data from the first passage of a Gd-DTPA
contrast bolus are examined, using a Monte Carlo simulation.
Method 1 fits the contrast concentration curve of the first pass
to a two-compartment kinetic model to determine the tissue
pharmacokinetic parameters. Method 2 decomposes intravas-
cular and interstitial components of the first-pass curve based
on a leakage profile (LP) model. Based on the results of these
Monte Carlo simulations, a new “hybrid” method is proposed
that combines both analytical approaches to optimize accuracy
and precision of estimates of K
trans
, v
e
, and v
p
. The new method
was evaluated by computer simulation and used on experimen-
tal results from a patient with primary brain tumors. The new
method has the potential to provide more accurate quantifica-
tion of tissue plasma volume and vessel permeability. Magn
Reson Med 50:1286 –1295, 2003. © 2003 Wiley-Liss, Inc.
Key words: dynamic MRI; blood volume; endothelial permeabil-
ity; Monte Carlo simulation
The improved temporal resolution of dynamic MRI se-
quences means that short-lived variations in signal inten-
sity (SI), which occur during the first passage of a bolus of
contrast agent (CA), can now be accurately characterized.
This has led to increasing interest in the development of
data analysis methods for extracting pharmacokinetic pa-
rameters, such as the volume transfer constant (K
trans
)
between plasma and the extracellular/extravascular space
(EES), fractional volume of EES (v
e
), and fractional plasma
volume (v
p
) from first-pass DCE-MRI data (1–5).
Conventionally, investigators have fit pharmacokinetic
models of CA distribution to CA concentration curves
using a variety of curve-fitting techniques (6 –9). However,
several groups have identified a potential lack of stability
in parameter estimation when multiparametric curve-fit-
ting (MPCF) techniques are used (1,10 –14). Local minima
may cause failures to converge to appropriate minimal
values (13), and the possibility of a large covariance be-
tween the fitted parameters may cause different combina-
tions of fitting variables, resulting in competing “best fit”
solutions. These errors occur especially when signal-to-
noise ratio (SNR) is low, which is particularly common
when pixel-by-pixel parametric mapping is performed.
We previously described an alternative approach, the
first-pass leakage profile (FPLP) method (1,2), which de-
composes the intravascular and interstitial components of
the tissue residue function during the first pass of the CA.
Our previous studies in patients with cerebral glioma and
hepatic tumors (1,2,15) demonstrated that this method is
highly reproducible. However, it is based on the assump-
tion that backflow of the CA from interstitial water to
plasma is negligible during the first passage of CA, which
may be expected to adversely affect the accuracy of K
trans
estimates, particularly where CA extraction fractions are
high.
Only a small number of publications have addressed the
issue of accuracy and reproducibility of calculated phar-
macokinetic parameters such as perfusion (16), blood vol-
ume (17), and capillary permeability surface area product
(14,18 –22). The accuracy and precision of these estimates
depends on the accuracy of the models themselves, and on
the investigator’s ability to separately identify the second-
ary effects of variations of individual model parameters in
real data sets (23). This is affected not only by the param-
eter estimation method, but also by the sampling fre-
quency, sampling period, signal-to-noise ratio (SNR), and
the true values of the physiological parameters. In this
study we present 1) a Monte Carlo simulation to assess the
accuracy and precision of the MPCF and FPLP methods in
analyzing first-pass T
1w
DCE-MRI data; 2) a new “hybrid”
analysis method designed to more accurately quantify the
changes of plasma volume and vessel permeability in tis-
sues based on the findings of the Monte Carlo simulation;
3) a Monte Carlo simulation to assess the accuracy and
precision of the “hybrid” analysis technique; and 4) an
example of the new method applied to data from a patient
with primary brain tumors.
METHODS
The terminology used in this work follows the conven-
tions described by Tofts et al. (24).
Monte Carlo Simulations for Error Analysis
Simulation of Vascular Input Function
The Monte Carlo simulations used a simulated vascular
input function (VIF) derived from data collected in a series
of 10 patients with cerebral glioma. Details regarding the
patients and image acquisition sequence have been de-
scribed fully elsewhere (1,25). Measurements of the tracer
concentration in blood plasma (C
p
(t)) were obtained from
voxels in the vertical part of the superior sagittal sinus
(SSS) in all 10 patients (26,27). The simulated vascular
input function was constructed by fitting the average C
p
(t)
from all 10 patients using a gamma function concatenated
with a steady-state concentration (28).
1
Department of Radiology, University of California–San Francisco, San Fran-
cisco, California.
2
Division of Imaging Science and Biomedical Engineering, Stopford Medical
School, Manchester University, Manchester, UK.
*Correspondence to: Professor Alan Jackson, Division of Imaging Science
and Biomedical Engineering, Stopford Medical School, Manchester Univer-
sity, Manchester M13 9PT, UK. E-mail: Alan.Jackson@man.ac.uk
Received 20 September 2002; revised 13 March 2003; accepted 14 March
2003.
DOI 10.1002/mrm.10652
Published online in Wiley InterScience (www.interscience.wiley.com).
Magnetic Resonance in Medicine 50:1286 –1295 (2003)
© 2003 Wiley-Liss, Inc. 1286