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
)
,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)
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