Digital Signal Processing Reference
In-Depth Information
ing a 2-D gradient echo echoplanar imaging (EPI) sequence employ-
ing 10 transversal slices with a matrix size of 128
×
128 pixels, pixel
size 1 . 88
1 . 88 mm, and a slice thickness of 3 . 0mm (TR = 1 . 5 sec, TE
=0 . 54 sec, FA = 90 ). The dynamic study consisted of 38 scans with
an interval of 1 . 5 sec, between each scan. The perfusion sequence and an
antecubital vein bolus injection (injection flow 3 ml/sec) of gadopente-
tate dimeglumine (0 . 15 mmol/kg body weight, Magnevist TM ,Schering,
Berlin, Germany) were started simultaneously in order to obtain several
(more than six) scans before cerebral first pass of the contrast-agent.
The registration of the images was performed based on the automatic
image alignment (AIR) algorithm [288].
×
Data analysis
In an initial step, a radiologist excluded by manual contour tracing the
extracerebral parts of the given data sets. Manual presegmentation was
used for simplicity, as this study was designed to examine only a few
MRI data sets in order to demonstrate the applicability of the perfusion
analysis method.
For each voxel, the raw gray-level time series S ( τ )
}
was transformed into a pixel time course (PTC) of relative signal reduc-
tion x ( τ )by
∈{
1 ,..., 38
x ( τ )= S ( τ )
S 0
α
,
(11.1)
where S 0 is the precontrast gray level and α> 0 a is distortion ex-
ponent. The effect of the native signal intensity was eliminated prior
to contrast-agent application. If time-concentration curves are not com-
puted according to the above equation (i.e., avoiding division of the raw
time series data by the pre-contrast gray level before clustering), implicit
use is made of additional tissue-specific MR imaging properties that do
not directly relate to perfusion characteristics alone.
In the study, S 0 was computed as the average gray level at scan times
τ
, excluding the first two scans. There exists an exponential
relationship between the relative signal reduction x ( τ )andthelocal
contrast-agent tissue concentration c ( τ ) [223], [181], [83], [137]:
∈{
3 , 4 , 5
}
α ln S ( τ )
S 0
,
c ( τ )=
ln x ( τ )=
(11.2)
Search WWH ::




Custom Search