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159Arterial Pathology
Valdueza et al., Neurosonology and Neuroimaging of Stroke: A Comprehensive Reference, Second Edition (ISBN 978-3-13-141872-2), copyright © 2017 Thieme Medical Publishers
All rights reserved. Usage subject to terms and conditions of license.
BAV2-VA-LV2-VA-R
A
B
C
D
E
Fig. A5.140 Synopsis of VA and BA fl ow patterns in intracranial
posterior circulation occlusion depending on the location of the occlusion. Both VAs are well developed. (A) P1-PCA occlusion—no fl ow
alteration. (B) Top of the basilar artery occlusion—no signifi cant VA
fl ow alterations. No or only mild BA fl ow reduction. (C) Midbasilar
occlusion—distinct prestenotic fl ow alteration in both VAs and even
more in the BA, if detectable. (D) Unilateral V4-VA occlusion distal
of the PICA origin—only moderate ipsilateral prestenotic VA fl ow
alteration as the blood fl ow into the PICA is preserved. Note that a
normal fl ow signal may also be present. Normal BA fl ow. (E) Unilat-
eral V4-VA occlusion proximal to the PICA origin—severe prestenotic VA profi le alteration without diastolic fl ow. Slightly increased
contralateral VA fl ow velocities may also be observed in D.
is used with only the transforaminal insonation approach
the diagnostic specifi city of 96% is high but the sensitiv-
ity of 60% is low (Demchuk et al 2000a). Echo contrast
agents, the transtemporal insonation at least of the PCA,
and the extracranial VA examination are, however, of
great importance (Kermer et al 2006). An acute proximal
BA occlusion will always result in prestenotic fl ow alter-
ations with increased pulsatility in both extracranial VAs
(Fig. A5.137). Transtemporal insonation in the axial plane
then shows a fl ow into the PCA via a PCoA or a fetal-type
PCA if present (Fig. A5.138). The distal BA segment may
then, transtemporally or transforaminally, reveal a retrograde fl ow derived from one or both P1-PCA and PCoA
segments (Fig. A5.139). A distal occlusion at the top of
the BA, however, may leave both VA profi les and even the
proximal BA signal almost unchanged (Fig. A5.140). This
is explained by the numerous arteries that originate from
the proximal segments (AICA and perforator arteries)
and which may result in a nearly unchanged peripheral
fl ow resistance, especially if the SCAs remain open and
antegradely perfused. Therefore, apparently normal VAs
CBA
ED
Fig. A5.141 (A) DSA, selective right VA injection, p.a. view revealing
a distal VA occlusion at the V3–V4 junction (arrow). Note small collaterals (arrowheads). (B) DSA, selective left VA injection, lateral view
revealing a proximal BA occlusion (arrowhead). Note the marked
signal of the PICA (large arrow) fi lling the SCA via leptomeningeal
anastomoses (curved arrow). The distal and mid BA is assumed to
be retrograde perfused (short arrow). (C) DSA, selective left VA in-
jection, p.a. view revealing that the left PICA (arrow) provides the
blood supply for both cerebellar hemispheres via cortical anastomoses. Note that the signals are partly superimposed, impeding a clear
view of vessel anatomy. In this case, the right PCA territory was perfused by a fetal-type PCA and the left PCA territory by leptomeningeal anastomoses of the ipsilateral MCA and ACA (both not shown).
(D,E) Extracranial duplex, V2-VA insonation of the right (D) and left
(E) V2-VA in the longitudinal insonation plane, color-mode imaging
and corresponding Doppler spectra. Both V2-VA had normal diameter (right 3.4 mm, left 3.8 mm). The right V2-VA had a high pulsatile
fl ow signals (23/3 cm/s) indicative of a severe distal obstruction.
The left V2-VA appeared normal despite the proximal BA occlusion
b e c a u s e o f t h e c o l l a t e r a l p a t h w a y s ( 4 3 / 1 4 c m / s ) .
and a normal proximal BA fl ow signal are not suffi cient
to exclude occlusion at the top of the BA. Additional axial and coronal transtemporal insonation may help to
overcome this problem if the distal BA can be visualized.
Tra nsc rania lly, u ndi stu rbe d fl ow signals in one or both
PCAs without the presence of a fetal-type PCA variation
strongly argues against a distal BA or a more proximal BA
occlusion. However, in the rare cases of a chronic proximal or midpart BA occlusion a leptomeningeal collateral
fl ow from the PICA to the SCA territory may backfi ll the
distal BA. In this occasion fl ow patterns of the extra- and
intra cranial segments of one or both VAs may appear almost normal. Depending on the presence of a fetal-type
PCA or a marked PCoA, the fl ow signals of the PCA may be
variable with a retrograde P1-PCA or antegrade normal
or poststenotic P2-PCA (Fig. A5.141). In limited insonation conditions, digital tapping of VAs and ICAs under
simultaneous PCA fl ow analysis might additionally help
to identify the intracranial fl ow pattern. Complete BA
occlusion can in most cases be excluded if VA tapping at
the atlas loop leads to a visible oscillation eff ect within
the PCA. Only in chronic midbasilar occlusion may the
obstruction be surpassed by anastomoses between the
PICA and SCA as mentioned above. It is important to note
that TCCS cann ot exclude the presence of a thrombus that
is fragmented or adherent to the vessel wall. Sonography

160 5 Vascular Pathology
Valdueza et al., Neurosonology and Neuroimaging of Stroke: A Comprehensive Reference, Second Edition (ISBN 978-3-13-141872-2), copyright © 2017 Thieme Medical Publishers
All rights reserved. Usage subject to terms and conditions of license.
BA
D
DC
Fig. A5.142 (A) TCCS, transforaminal approach, B-mode image.
Note the foramen magnum (white circle) and the clivus (arrowhead).
Note also the marked hyperechoic structure surrounding the posterior arch of the atlas which represents VA calcifi cation (arrows).
(B) CCT bone window showing severe calcifi ed V4-VAs during their
passage in the foramen magnum (arrows). (C,D) TCCS, transforaminal approach, color-mode and corresponding Doppler spectra confi rming a proximal V4-VA stenosis at a depth of 54 mm and
a n g l e - c o r r e c t e d h i g h fl ow velocities of 245/81 cm/s.
should therefore only be performed if it causes no delay
for the routine CTA, MRA, or DSA diagnostics, or if there
is a need for follow-up investigations. For further details,
see Case 21.
CBA
D
Fig. A5.143 (A) 3D TOF-MRA, coronal MIP revealing a signal de-
crease and lumen irregularities in the V4-VA distal of the PICA
(arrowhead). (B) Contrast-enhanced MRA, coronal MIP shows less
vessel irregularities and was thought to exclude V4-VA stenosis.
Note again the PICA (arrowhead) (C,D) TCCS, transforaminal approach, color-mode and corresponding Doppler spectra revealing
a disturbed fl ow with increased fl ow velocities (199/56 cm/s) indi-
cating a >50% distal V4-VA stenosis. No poststenotic fl ow pattern
was seen in the downstream vessels (not shown).
BA
VA Stenosis
The V4-VA, together with the carotid siphon, is the
preferential site for atherosclerotic intracranial lesions
and stenoses are therefore common. In a multicenter
intracranial stent registry of 388 symptomatic patients,
18% had stenoses at this location (Kurre et al 2010). The
intracranial V4-VA segments are generally easily accessible via the transforaminal approach. Stenoses can be
assessed by analyzing fl ow velocity, profi le disturbanc-
es, and pre- and poststenotic fl ow patterns. Velocity cut-
off values for ≥50% and <50% stenosis are given in Fig.
A5.92. If possible, a pre- and post-PICA located stenosis
should be distinguished (Fig. A5.142, Fig. A5.143, Fig.
A5.144). A hemodynamically relevant stenosis leads to
secondary signs mainly with a poststenotic fl ow pattern
in the downstream vessels (Tian et al 2006). It is important to note that a stenosis in a hypoplastic post-PICA
V4-VA segment might not lead to a detectable increase
of fl ow velocity. For further details about VA stenosis,
see Case 8 and Case 16.
VA Occlusion
Flow signals in V4-VA occlusion strongly depend on the
site of the occlusion, mainly in their relation to the origin
of the PICA (proximal or distal). Similar to the distal extracranial VA occlusion, a proximal intracranial occlusion
below the origin of the PICA results in a prestenotic extracranial VA fl ow pattern without diastolic fl ow (Fig. A5.145).
In this case a retrograde intracranial VA fl ow may be
found indicating a retrograde fi lling of the ipsilateral PICA
C
Fig. A5.144 (A) 3D TOF-MRA, coronal MIP, 180° rotated to correspond with the ultrasound image revealing a distal V4-VA lumen
reduction (arrow). The PICA is indicated with an arrowhead. (B,C)
TCCS , tr ansfora mina l ap proa ch, col or-m ode an d corre sponding
Doppler spectra, revealing an aliasing and a disturbed fl ow with
increased fl ow velocities (173/70 cm/s) at a depth of 53 mm indi-
cating a >50% distal V4-VA stenosis. Note that in this patient with
a slender neck circumference the distal V4-VA was located at a
depth of 53 mm. The BA origin in this case was located at a depth
of 60 mm.
(Fig. A5.146). An important diff erential diagnosis of this
extracranial fi nding is a hypoplastic VA which can usually
be ruled out by measuring the vessel diameter within the
V2-VA segment. Furthermore, even in a hypoplastic VA a
residual diastolic fl ow component should be present.
Occlusions distal to the PICA origin are diffi cult to de-
tect as they may have similar fl ow signals to the physio-
logic anatomic variant of a PICA-ending VA. In that case,
however, a small-diameter V2-VA is usually present as

161Arterial Pathology
Valdueza et al., Neurosonology and Neuroimaging of Stroke: A Comprehensive Reference, Second Edition (ISBN 978-3-13-141872-2), copyright © 2017 Thieme Medical Publishers
All rights reserved. Usage subject to terms and conditions of license.
V2-VA R V2-VA L
Fig. A5.145 Pre-PICA V4-VA occlusion. Middle: 3D TOF-MRA, coronal
view, showing a left-sided V4-VA occlusion. The residual distal VA vessel stump (arrow) confi rms that no hypoplastic variant is present. Note
also a marked ipsilateral AICA (arrowhead). Left and right: Extr acran ial
duplex, V2-VA insonation in the longitudinal insonation plane, colormode imaging and corresponding Doppler spectra. Diameter of V2-VA
is 4.2 mm on the right and 2.5 mm on the left. Note the normal fl ow
signal on the right V2-VA (45/18 cm/s) but a prestenotic left V2-VA
with low (23 cm/s) systolic fl ow component and missing diastolic com-
ponent, compatible with a pre-PICA V4-VA occlusion.
ABC
FED
Fig. A5.146 Retrograde V4-VA in left pre-PICA dissecting occlusion
of V3-VA. (A) 3D TOF-MRA, coronal view, revealing a short segment
of the left V4-VA (arrow) which was initially misinterpreted as a distal V4-VA occlusion. (D) Ce-MRA, coronal view. Ce images revealed
an almost normal intracranial left-sided VA (arrowheads). Note the
distal ending of the dissecting V3-VA occlusion (large arrowhead).
(B,C) TCCS, transforaminal approach, color-mode and corresponding Doppler spectra revealing a normal right V4-VA color and Doppler signal (fl ow velocity 89/31 cm/s). (E,F) TCCS, transforaminal
approach, color-mode and corresponding Doppler spectra revealing a retrograde left V4-VA fl ow (fl ow velocity 45/22 cm/s).
the V2-VA does not contribute to the perfusion of the PCA
territory. An occlusion distal to the PICA origin can otherwise be assumed if a low velocity signal with high PI
is seen in a normal-diameter vessel (Fig. A5.147). In case
of a brainstem ischemia a distal VA occlusion seems even
more likely (for further reading, see Case 41). It is important to note that the presence of an end-diastolic fl ow is
always indicative of brain-supplying chara cter of this fl ow
signal. A lumen diameter >2.8 mm and a diameter-ratio
(diameter of contralateral VA divided by diameter of target VA) <1.4 argue strongly in favor of VA occlusion distal
of the PICA and against a VA ending as the PICA, which
are otherwise both characterized by a low mean velocity
<18 ms (Saito et al 2004) (for further reading see also Case
19 and Case 35).
Collateral Pathways
Activation of collateral pathways has, along with recanalization, the greatest prognostic importance in acute
ischemic stroke (D. Liu et al 2014, Miteff et al 2009).
The main underlying mechanism for the development
of collateral function is the change in perfusion pressure
caused by blood vessel obstruction. As the arterial vascular system is free of valves, the bloodstream may follow the direction of need, only limited by the individual
anatomic situation. The more proximal an occlusion occurs, the easier it is for collaterals to compensate for it.
Therefore, a major intracranial occlusion will only rarely
occur without clinical manifestation of stroke. Extracranial occlusions are less likely to endanger the patient, at
least from a hemo dynamic point of view. In the following
V2-VA R V2-VA L
Fig. A5.147 Post-PICA V4-VA occlusion. Middle: 3D TOF-MRA,
coronal view, showing a left-sided distal V4-VA occlusion (arrow).
The PICA is clearly visible (arrowhead). Left and right: Extracranial duplex, V2-VA insonation in the longitudinal insonation plane,
color-mode imaging and corresponding Doppler spectra. Normal
diameter of V2-VA on both sides (right 4.0 mm, left 3.6 mm). Note
the normal fl ow signal on the right V2-VA (50/21 cm/s) and the
slightly higher pulsatility on the left V2-VA (43/9 cm/s) compatible
with a distal post-PICA V4-VA occlusion.
sections we explain potential intracranial collateral pathways and the pattern of collateral fl ow in extra- and in-
tracranial occlusive processes assessed by ultrasound and
by the other available neuroimaging modalities. Finally,
we discuss the clinical relevance of collateral circulations.

162 5 Vascular Pathology
Valdueza et al., Neurosonology and Neuroimaging of Stroke: A Comprehensive Reference, Second Edition (ISBN 978-3-13-141872-2), copyright © 2017 Thieme Medical Publishers
All rights reserved. Usage subject to terms and conditions of license.
A
300
300
75
75
Fig. A5.148 (A) Schematic showing the normal anatomy of the
brain-supplying arteries with a normal blood volume fl ow (BVF)
in both ICAs and VAs assuming a global blood volume fl ow of
750 mL/min (in the example, 300 mL/min for each ICA and 75 mL/min
for each VA). (B) In unilateral CCA and bilateral VA occlusion the total
BVF of 750 mL/min or slightly less will run through the remaining ICA.
The ECA may contribute to brain perfusion via the OA. (C) In unilateral
VA a nd bil ate ral CCA occ lus ion th e to tal BV F ha s to be com pen sat ed b y
the remaining VA. More complex collateral pathways may be present.
BC
~750
~750
Intracranial Collateral Pathways
Primary Collaterals (ACoA and PCoA)
The cerebral arterial circle (circle of Willis) is the main intracranial distributor of blood. Until the introduction of dynamic diagnostic tests in vivo, the analysis of its importance
and regulatory function was rather limited and restricted
to postmortem analysis of anatomy and vessel diameter.
The unpaired ACoA and both PCoAs are the most important control variables of the circle of Willis, also called
fi rst-order collaterals in the case of hemodynamically
relevant steno-occlusive disorders proximal to the communicating arteries. If normally developed, these arteries together form a closed and therefore functional circle.
Ideally their diameter approximates the diameters of the
other basal cerebral arteries (see Fig. A2.17). Only then
can a proximal arterial occlusion result in collateral fl ow
without impairment of blood fl ow. Even in a constellation
of a three-vessel occlusion—for example, involvement of
one VA and both ICAs (Wróblewski et al 1997) and even
of one VA and both CCAs (Karaköse et al 2002)—the remaining VA may be able to provide the blood supply for
the whole brain via the circle of Willis, provided that a
normal heart function is present (Fig. A5.148). The above
cases are exceptionally rare; however, more frequently
bilateral ICA occlusions can be found which are also often well compensated (for further details, see Case 12). In
the latter constellation, one or both PCoAs are activated
to maintain a suffi cient cerebral perfusion. A collateral
fl ow via the ACoA will then only occur if only one PCoA
provides the blood supply for both sides of the anterior
circulation. A predominantly PCoA-derived blood fl ow
into the MCA and ACA may also occur in unilateral ICA
occlusion. The main collateral fl ow pattern is, however,
via the so-called “cross-fl ow” from the contralateral ICA,
in which the blood fl ows from the contralateral A1-ACA
AB
Fig. A5.149 Right extracranial ICA occlusion. (A) DSA, selective left
ICA fi lling, posteroanterior view. A cross-fl ow from the left ICA via
A1-ACA, ACoA (arrow) and retrograde right A1-ACA into the right
MCA is seen. (B) DSA, selective left VA fi lling, posteroanterior view.
Note the collateral fl ow via the right PCoA (arrow) into the right
MCA territory. Note the retrograde fi lling of the right VA (arrows),
merely induced by the pressure injection of the contrast agent during DSA and not to be interpreted as a steal phenomenon.
via the ACoA and the retrograde ipsilateral A1-ACA toward the MCA (Henderson et al 2000). A combination
of both primary collateral fl ow patterns is also often ob-
served. DSA mostly overlooks this phenomenon because
of the selective injection of the contrast agent into the
ICA and VA, while TCCS reveals fl ow separation from the
PCoA into the MCA and from the ACoA into the ACA. This
observation has been impressively confi rmed by spin-la-
beling MRA in patients with symptomatic ICA occlusion,
in whom the MCA territories were mainly supplied via
the vertebrobasilar arteries and the ACA territories by the
contralateral ICA (van Laar et al 2007). A precondition for
these two mechanisms is not only the existence of functioning communicating arteries but also of regularly developed P1-PCA and A1-ACA segments. However, unlike
the M1-MCA, A2-ACA, and P2-PCA segments, the P1-PCA
and A1-ACA segments show considerable variations of
vessel diameter (Lang 2001).
Since catheter angiography was established in the
1950s it has been possible to evaluate the circle of Willis and collateral pathways in extra- and intracranial
occlusive processes, as well as the regulatory circle of
Willis function, in vivo (Fig. A5.149). Digital subtraction
t e c h n i q u e s a n d s e l e c t i v e v e s s e l i m a g i n g i m p r o v e d t h e v i s ibility of collaterals and increased our understanding of
their functional relevance. However, even in the advanced
DSA techniques, a considerable amount of contrast has
which may alter the physiologic balance of intracranial
perfusion pressure. Also, with the selective vessel imaging technique only parts of the cerebral circulation can be
displayed at a time. Eff ects of contrast dilution that can-
not be avoided further restrict the evaluation of real fl ow
and therefore only the DSA technique permits assumptions with regard to the fl ow direction and the strength
of the blood fl ow.

163Arterial Pathology
Valdueza et al., Neurosonology and Neuroimaging of Stroke: A Comprehensive Reference, Second Edition (ISBN 978-3-13-141872-2), copyright © 2017 Thieme Medical Publishers
All rights reserved. Usage subject to terms and conditions of license.
TAV
(cm/s)
max
150
Left CCA compression (2 min)
100
MCA-L
50
MCA-R
0
Time
Fig. A5.150 Bilateral TCD Doppler monitoring of the MCA during
left CCA compression. Flow velocity of the right (green) and left
(red) MCA are given as maximal time-averaged velocity values
(TAV). Note the sharp drop in the left MCA fl ow at beginning of the
compression. Over a 2-minute period of compression, blood fl ow of
the left MCA recovers gradually, most signifi cantly within the fi rst
30 seconds, which can be explained by a gradually improving collateral recruitment. Note the physiologic “overshoot” in left MCA fl ow
on release of the compression.
The noninvasive techniques currently used to assess these issues are MRI and ultrasound. In MRI, the
phase-contrast MRA technique can depict A1-ACA or
PCoA fl ow directions in patients with an ipsilateral ICA
occlusion (Kluytmans et al 1999). However, this technique is time consuming and does not provide suffi cient
information regarding the quantity or quality of collateral fl ow, and hence has not yet become part of current
diagnostic routines. In contrast, the frequently used TOFMRA is very fast. However, fl ow direction is not displayed
and there are some methodological limitations because
of its fl ow dependency. Normal communicating arteries
with physiologic low fl ow, or in cases of ICA occlusion
with a turbulent fl ow within the communicating arter-
ies, may not be adequately depicted. Higher fi eld strength
increases the sensitivity. In a comparative study of DSA
and 1.5-T TOF-MRA in a mixed group of patients with
and without arterial occlusions, the PCoA was visualized
with the MRI technique in 81% of cases with positive DSA
fi ndings in all of the patients (Patrux et al 1994). Using
7.0 T, the detection rate increases. A bilateral absence was
seen in only 4.3% and a unilateral absence in 15.2% (Conijn et al 2009). The PCoA is a unique artery that forms a
connection between the anterior and posterior cerebral
circulation. Thus, in the case of a balanced blood supply
anteriorly and posteriorly through the circle of Willis, the
blood fl ow through the PCoA can be very low if related
to its diameter. A 16-detector-row CTA showed an overall agreement of 92.4% with DSA for the PCoA, ACoA, P1PCA, and A1-ACA. Subgroup analysis of the hypoplastic
segments showed a sensitivity of 52.6% and a specifi city
of 98.2% (Han et al 2011). No systemic analysis has been
published in stroke patients.
In comparison to the DSA technique, ultrasound permits a direct and real-time evaluation of the intracranial
hemodynamic eff ects of an extracranial arterial occlusion.
A clear advantage of the ultrasound technique compared
with DSA is that it only observes the cerebral circulation
without manipulating blood fl ow by an injection of arti-
fi cial contrast. Provided that good insonation conditions
are present, fl ow waveforms and fl ow velocities within the
ACoA and PCoA in combination with the analysis of distal
vessel segments makes it possible to assess the presence
and the hemodynamic relevance of the communicating arteries in steno-occlusive disorders. In healthy individuals
the communicating arteries are often diffi cult to visualize.
The ACoA, with a length ranging from 0.1 to 3 mm ( Yasargil
1984) is too short to be directly shown by current ultrasound systems and shows no real fl ow under physiologic
conditions. The PCoA is also small, its diameter in 53% of
cases reported to be less than 1 mm (Lang 2001). This, together with a frequently tortuous and basal course as well
as the unfavorable angle of insonation, usually hinders
PCoA detection under normal conditions. To assess patency and function of both communicating arteries in the absence of an occlusive process, a CCA compression test can
be performed. Transient artifi cial CCA occlusion over three
to fi ve heart cycles will, in the case of a functional ACoA,
result in retrograde ipsilateral A1-ACA fl ow. A functional
PCoA under compression has been defi ned as an ipsilateral
fl ow rise of the P1-PCA of at least 20%. Following these criteria a closed and therefore functional circle of Willis was
detected in 29% of cases in an elderly arteriosclerotic population without stroke (Hoksbergen et al 2000b). A hypofunctional ACoA was found in 4% of cases and a hypofunctional PCoA in 61%, in 45% unilateral and 16% bilaterally
(see Fig. A2.16). The same investigator group compared
chronic stroke patients with controls. They reported higher incidences of functional impairment of the ACoA (33%
versus 6%) and PCoA (57% versus 43%) (Hoksbergen et al
2003a). Interestingly, their fi ndings indicate that a patent
circle of Willis is not only of hemodynamic importance in
extracranial vessel occlusions but might also be relevant
for the wash-out of embolic material.
Although an elegant functional paradigm, the CCA
compression test is not free from interpretation problems. The defi nition of a functioning PCoA particularly
has to be questioned because of the arbitrary chosen
cut-off of a >20% P1-PCA fl ow rise. In addition, it has
to be kept in mind that the ultrasound detection of the
P1-PCA may be diffi cult, particularly if TCD is used.
The P1-PCA is a very short vessel segment with a mean
length of 6 mm (range 3–9 mm; Lang 2001) and might
also easily be confused with the nearby SCA or the proximal P2-PCA segment. Furthermore, a relatively brief
compression does not automatically make it possible
to draw conclusions regarding function after prolonged
occlusion. It seems obvious that fi rst-order collaterals
will immediately respond to the altered pressure gradient; however, a collateral pathway via the communicating arteries may also start after more than three to
fi ve heart cycles—minutes, or possibly even longer (Fig.
A5.150) (Widder et al 1994). Considering this, the prev-
alence of functional communication arteries might even
be higher than reported above. A compression of the
CCA might lead to a thromboembolic complication in
the atherosclerotic population and was reported in 2 of
380 examined patients, resulting in a stroke risk of 0.5%,

164 5 Vascular Pathology
Valdueza et al., Neurosonology and Neuroimaging of Stroke: A Comprehensive Reference, Second Edition (ISBN 978-3-13-141872-2), copyright © 2017 Thieme Medical Publishers
All rights reserved. Usage subject to terms and conditions of license.
and is therefore not recommended in routine ultrasound
examinations (Mast et al 1993).
Although functional characteristics of the communicating arteries are easy to assess by ultrasound, no morphologic information can be obtained. Again, Hoksbergen
and his group compared functional TCCS examinations
and postmortem anatomic vessel fi ndings. They found
a threshold diameter of the communicating arteries for
fi rst-order collaterals of 0.4–0.6 mm, i.e., considerably
lower than the previously assumed 1 mm, which derives
mainly from anatomic observations. They reported a
mean diameter of a functioning ACoA or PCoA of 1.1 mm
(range 0.4–2 mm) and for a nonfunctioning ACoA or
PCoA of 0.5 mm (range 0.3–0.7 mm). The lower cut-off
of 0.4 mm is probably more valid for the ACoA, and the
higher one of 0.6 mm for the PCoA as its length and the
resulting increased resistance have to be taken into consideration (Hoksbergen et al 2000a).
Vessels of ~0 .5 mm dia mete r are usu ally no t vis ualiz ed
by any of the current angiologic methods, particularly
under physiologic circumstances in which the net fl ow in
these segments is low or even undulating. As soon as they
serve as collaterals a mismatch between vessel diameter
and required blood volume fl ow develops which leads to
a subsequent rise in fl ow velocity (so-called “functional
stenosis”), which is then rather easy to detect by ultrasound techniques.
Fetal-type Posterior Cerebral Artery
As mentioned, the communicating arteries can only
work eff ectively if the A1-ACA or P1-PCA is patent. A
functionally relevant A1-ACA hypoplasia not allowing a
cross-fl ow in transient CCA occlusion is rare, occurring
in only ~1% (Hoksbergen et al 2000b). However, variants
of the P1-PCA are common, especially the fetal-type
(FT)-PCA in which the PCA directly originates from the
ICA without apparent connection to the BA (full type)
or with a small vessel bridge, i.e., a hypoplastic P1-PCA
(partial type). The discrimination from an FT-PCA with
a strong PCoA is inconsistent. From a morphologic point
of view the best way is to defi ne a partial FT-PCA if the
PCoA diameter exceeds the P1-PCA diameter, which has
been reported in ~20% of hemispheres (Lang 2001, Saeki
and Rhoton 1977). DSA is the best radiologic method
to demonstrate potential connections between the anterior and posterior circulation. In a panangiographic
study an exclusive PCA contrast fi lling from the ICA
was observed in 11% of hemispheres. In another 46%
of hemispheres a combined supply via ICA and BA was
found (Jongen et al 2002). An almost identical prevalence
of 10% of full FT-PCA was reported in a DSA-correlated
CTA study (van der Lugt et al 2004). MRA mainly uses
morphological criteria considering the diameter of the
target vessels to defi ne an FT-PCA. Wide ranges were
reported of a full FT-PCA ranging from 3% to 30% and
of a partial FT-PCA ranging from 13% to 26%, highlighting diff erences in defi nitions and study populations as
well as methodologic limitations (Jongen et al 2004, van
Raamt et al 2006). No real CTA literature is available
about this topic.
FT-PCA is also diffi cult to defi ne with ultrasound
methods. TCCS might, for example, fail to detect a small
hypoplastic P1-PCA segment because of its low net fl ow.
Diff erentiation from the nearby SCA might also be prob-
lematic. Applying the CCA compression test in 76 subjects
and defi ning FT-PCA as a fl ow reduction or cessation in
the PCA, this variant has been detected in 14% of subjects
while no bilateral FT-PCA was reported (Hoksbergen et al
2000b). Alternatively, a diff erentiation between normal
and FT-PCA can also be achieved by a simple tap test.
Using the latter technique, a similar prevalence of 17%
for an FT-PCA has been reported (Siemieniec et al 2006).
A diff erentiation between a strong PCoA and an FT-PCA
is usually not of relevance from a clinical point of view
(for further reading on FT-PCA anatomy see Chapter 2,
“Posterior Communicating Artery” under “Special Arterial Anatomy and Ultrasound Anatomy”).
Secondary Collaterals (Ophthalmic Artery and Leptomeningeal Collaterals)
Second-order collaterals are the OA and the leptomeningeal vessels in hemodynamically relevant steno-occlusive
vessel disorders proximal to the communicating arteries.
They can be considered as reserve systems that are only
activated to compensate a relevant proximal vessel occlusion if the anterior and posterior communicating arteries
are either insuffi ciently developed or not developed at all.
The OA connects the extra- and intracranial anterior circulation. Under physiologic conditions, in the
normal type its blood supply mainly derives from the
ICA. In 2.4% of cases, a partial blood supply occurs from
the middle meningeal artery, a peripheral ECA branch
merging from the maxillary artery. In 1.2% of cases an
exclusive middle meningeal artery blood supply can be
found (Hayreh and Dass 1962). In all of the above circumstances the physiologic blood fl ow in the OA is cen-
trifugal. In case of an OA collateral activation, which is
only possible in an OA with ICA origin, the fl ow direction
reverses and the OA becomes a brain-supplying artery.
Typ ic ally t he bl ood fl ow then comes from the superfi cial
temporal artery or facial artery via the supratrochlear
artery to the OA. However, vessel fi lling may also occur
via the maxillary artery and ethmoidal arteries.
Recruited OA collaterals are easily depicted by DSA
during selective ECA main stem or branch contrast injection (Fig. A5.151A). However, if the contrast is injected
proximally, i.e., at the aortic arch or the CCA or only in the
proximal ICA, an OA collateral may be missed because of
contrast dilution. CTA and MRA usually fail to detect the
OA but TCCS and TCD are optimally suited as they allow
direct insonation of the vessel via the transorbital as well as
the transtemporal approach. The assessment of waveform
and fl ow direction in particular allows evaluation of its
relevance as a collateral vessel (for further details on OA
anatomy, see Chapter 2, “Ophthalmic Artery” under “Special Arterial Anatomy and Ultrasound Anatomy”).
The last important potential collaterals are the leptomeningeal or pial arteries, the fi nal segments of the
MCA, ACA, and PCA, fi rst described by Heubner in 1872
(see Fig. A2.15). In situations where there is a need the
leptomeningeal arteries are able to activate and widen pre-existing anastomosis between all three vascular territories of the cerebrum, forming the so-called
l e p t o m e n i n g e a l c o l l a t e r a l s ( L M C s ) ( Fig. A5.152 and

AB
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All rights reserved. Usage subject to terms and conditions of license.
A1
M1
C1
PcoA
165Arterial Pathology
P1
BA
Fig. A5.151 DSA. (A) Selective CCA injection, lateral view. ICA
o c c l u s i o n ( a r r o w ) . C o l l a t e r a l fi lling of the carotid siphon (arrowhead)
via the retrograde OA (arrows) from the ECA. (B) Selective right VA
injection, posteroanterior view. Left ICA occlusion. Collateral fi lling
of the MCA territory via PCA leptomeningeal collaterals (arrows).
Note the prominent cortical PCA branch (anterior temporal artery)
mainly distributing blood into the MCA territory (arrowhead).
Fig. A5.153). The anastomoses are usually end-to-end or
candelabra-like (Vander Eecken 1959, Vander Eecken and
Adams 1953). The regulatory mechanisms involved and
the temporal patterns of development are still not well
understood but a high inter-individual variability of these
collaterals can be assumed (Liebeskind 2003). Anatomically, they may reach a diameter of up to 1 mm, the size of the
normal pial arteries over the cerebral hemispheres (Brozici
et al 2003). Their distribution, number, and size are variable. They are best developed between the MCA and ACA
territory, less developed between the MCA and PCA, and
only weakly developed between the ACA and PCA. Their
activation represents a shifting of the vascular territories
of the MCA, ACA, or PCA. Metabolic syndrome, hyperuricemia, and age have been found to be associated with poor
leptomeningeal collateral status in patients with acute
ischemic stroke, which may be explained by increasing
vessel wall rigidity in these conditions (Brozici et al 2003,
Menon et al 2013b).
It is important to note that the LMCs are secondary collaterals in extracranial steno-occlusive vessel disorders. In
extracranial ICA occlusion—the prototype of extracranial
occlusion—fi rst-line collaterals are the ACoA and PCoA.
Only if these fail are LMCs from the ACA and PCA as well
as the OA activated, i.e., they are a sign of insuffi cient pri-
mary collateral capacity (Hofmeijer et al 2002). In hemodynamically relevant steno-occlusive intracranial pathology, e.g., MCA occlusion, the communicating arteries and
the OA cannot be activated, for anatomic reasons. Under
these circumstances the ACA and PCA LMCs are the only
vessels that may compensate for the occlusion. Therefore,
in intracranial occlusions (with the exception of ICA occlusion proximately to the communicating arteries), the LMC
are the primary (and only) collaterals and determine the
prognosis of the patient (Liebeskind et al 2011). In the best
case the LMCs are able to maintain the perfusion of the
whole MCA territory, as has been shown in a cadaver study
case with reported MCA main stem occlusion (Nishida et al
Fig. A5.152 Schematic of leptomeningeal collaterals in proximal M1-MCA occlusion. In occlusion distal of the communicating
a r t e r i e s t h e l e p t o m e n i n g e a l a n a s t o m o s e s p r e s e n t t h e o n l y c o l l a t eral input. In our example leptomeningeal collaterals are activated
from the ACA (red) and PCA (blue). (Adapted from Vander Eecken
1959.)
Fig. A5.153 Corrosion preparation of a leptomeningeal anastomosis between two leptomeningeal M4-MCA branches (arrows).
(Adapted from Vander Eecken 1959.)
2000). This, however, requires rapid LMC activation, which
fi nally determines the extent of the hypoperfusion and
subsequently the area of infarction. Within the posterior
circulation LMCs may also be activated between the three
cerebellar arteries (see Fig. A5.141).
LMCs can be studied by DSA, CTA, MRI, and MRA as well
by sonographic methods. Despite their importance, it remains diffi cult to grade the effi cacy of collateral fl ow and
to compare the diff erent methods especially in intracranial
proximal vessel occlusion (McVerry et al 2012). DSA imaging of LMCs is easily achieved, particularly within the early
and late arterial and capillary phases of the contrast passage. The early arterial phase directly visualizes the feeding
vessels, which may be particularly prominent in the PCA
and ACA territory in occlusive conditions of the MCA or ICA
(Fig. A5.151B and Fig. A5.154). The late arterial and capil-
lary phases usually allow a clear mapping of the territories

166 5 Vascular Pathology
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A
ACA
MCA
PCA
B
ACA
Fig. A5.154 (A) Schematic of the normal distribution of vascular ter-
ritories, coronal plane. (B) Schematic of shifted vascular territories
toward the ACA and PCA caused by MCA occlusion. (C) DSA, selective left ICA fi lling, posteroanterior view: M1-MCA occlusion (arrow).
Note the normal borders of the ACA territory on the right side (thin
dashed line) and the shifting of the left ACA territory (thick dashed
line) corresponding to the theoretical considerations shown under B.
A B
C
PCA
A
Fig. A5.155 DSA and schematic of collaterals in MCA occlusion.
(A,B) DSA, selective ICA fi lling, posteroanterior view. (A) Early ar-
terial phase: M1-MCA occlusion (arrow). (B) Late arterial/capillary
phase: Note the retrograde fi lling of insular MCA branches (arrows)
via ACA leptomeningeal collaterals (curved arrow). (C) Schematic
summarizing fi ndings of the case shown in A and B.
B
C
Fig. A5.156 DSA, composite image, left and right selective ICA
injection late arterial phase, posteroanterior view. (A) Bilateral
A1-ACA occlusion (arrows). Note the fi lling of the ACA territory
via LMC from the MCA territory (arrowheads). (B) Bilateral A2-ACA
occlusion (arrow). As in the case shown in A, there is fi lling of the
ACA territory via LMC from the MCA territory (arrowheads).
supplied by the LMCs. In addition, the capillary phase of the
normal perfusion of brain parenchyma demonstrates the
extent of the centripetal collateral fi lling. Under optimal
circumstances even a proximal main stem vessel might be
fi lled in retrograde via the LMC (Fig. A5.155). The magnitude
of centripetal fi lling can be graded using diff erent systems
(McVerry et al 2012). One system uses a scoring system between 1 and 5, where a score of 5 means little or no significant reconstitution of the occluded vessel territory and a
score of 1 indicates that the distal portion of the occluded
vessel is refi lled (Christoforidis et al 2005). In occlusion of
the PCA LMCs starts from the MCA and ACA and in occlusion
of the ACA leptomeningeal activation comes from cortical
Fig. A5.157 DSA, right selective ICA injection, late arterial phase,
posteroanterior view. Small image shows a distal M1-MCA occlusion (arrow) and a prominent early temporal M1-MCA branch (arrowhead). The large image shows a normal ACA territory border
on the left side (thin dashed line) and the shifting of the right ACA
territory into the MCA territory (thick dashed line) indicating LMC
activation via the ACA. Additionally, the early temporal MCA branch
also participates in forming a LMC MCA-MCA network (arrows).
branches of the MCA and PCA (Fig. A5.156). Leptomeningeal
anastomoses can also build up between cortical branches of
one vessel territory (Fig. A5.157).
In MRA analysis, LMCs can be indirectly assessed.
U s i n g t h e fl ow-sensitive TOF-MRA, the signal intensity
of the vessels involved in leptomeningeal collateralization appear slightly stronger and more distal vessel segments are visible, both indicating a higher blood fl ow
(Ichijo et al 2013, Uemura et al 2004) (see Fig. A5.88).
Further collateral signs on MRI are hyperintense leptomeningeal vessels on FLAIR (K.Y. Lee et al 2009).
Abnormal vessels on T2* imaging, probably caused by
deoxygenated blood in activated collaterals, may be also

167Arterial Pathology
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All rights reserved. Usage subject to terms and conditions of license.
AB
Fig. A5.158 Schematic of the two main types of collateral fl ow
via communicating arteries in proximal ICA occlusion. (A) Crossfl ow from the contralateral side via contralateral A1-ACA, ACoA,
r e t r o g r a d e i p s i l a t e r a l A 1 - A C A i n t o t h e i p s i l a t e r a l M C A t e r r i t o r y .
(B) Collateral fl ow from the ipsilateral P1-PCA via the PCoA into
the ipsilateral MCA territory. Combinations of both patterns are
possible.
be indicative of good LMCs and a good prognosis (Hermier et al 2005). The functionality of LMCs can also be
well evaluated by assessment of the MRI perfusion sequences. For example, in MCA occlusion, the size of the
perfusion defi cit indirectly correlates with the quality of
LMC from the ACA and PCA. In case of well-functioning
collaterals, MTT values are low and the cerebral blood
volume is only slightly raised (Kluytmans et al 1999).
Arterial spin-labeling MR has also been used for LMC
grading (Chng et al 2008, Sallustio et al 2008).
Even unenhanced CT is known to have a good correlation with LMC grade on DSA (Choi et al 2011). The
Alberta Stroke Program Early CT Score (ASPECTS) can be
used to analyze unenhanced CT scans for hypoattenuation in 10 defi ned areas of the MCA territory (Barber et
al 2000). The ASPECTS on contrast-enhanced CT or CTA
source images correlates even better with baseline stroke
severity than the basic ASPECTS (Bhatia et al 2011). In
proximal occlusions a retrograde fi lling of the leptome-
ningeal arteries up to the occlusion site can be assumed.
In distal occlusion LMCs can be evaluated by the strength
of contrast enhancement in the peripheral arteries. CT
p e r f u s i o n a d d s f u r t h e r i n s i g h t s i n t o fl ow direction and the
amount of LMC (Mortimer et al 2013, Tan et al 2007). Using standard single time-frame CTA, the LMC status may
be underestimated in patients with large-vessel occlusion
because of delayed contrast arrival and slower fi lling of
collaterals which then may not become visible. Analyzing late CTA images, derived from CT perfusion studies
(timing-invariant CTA) good LMCs were seen in 84% of
cases—signifi cantly higher than standard CTA, which
yielded only 49% (Smit et al 2013). A time-fused maximum intensity projection (tMIP) approach was shown to
best depict collateral fl ow and the authors hypothesized
that the total extent of collateral fl ow, rather than the ve-
locity of collateral fi lling, will predict the clinical outcome
(Frölich et al 2014). Dynamic information can be gathered
with modern 320-detector-row CT scanners, which generate time-resolved cerebral angiograms from skull base
to vertex. Unlike DSA, this technique makes it possible to
visualize pial arterial fi lling in all vascular territories. In
25 patients with M1-MCA and/or ICA occlusions a dominant PCA to MCA leptomeningeal collateral fl ow was ob-
served using this technique (Menon et al 2013a).
Ultrasound allows excellent assessment of LMC function. In case of LMC activation, fl ow velocities within the
supplying main stem arteries will be raised. In case of an
MCA occlusion, these are the ipsilateral A1-ACA, P2- and
P3-PCA; in case of an A1-ACA occlusion the ipsilateral M1-MCA, P2- and P3-PCA as well as the contralateral
A1-ACA. The latter may be possible if a patent ACoA is
present. A similar activation may occur in M1-MCA occlusion in ipsilateral A1-ACA hypo- or aplasia. Finally, in
PCA occlusion, fl ow velocities within the ipsilateral M1-
MCA as well as the ipsilateral A1-ACA may be increased.
In case of extracranial ICA occlusion mainly the PCA may
serve as a LMC pathway, especially if the communicating
arteries are nonfunctioning. Some cortical branches may
be directly be studied by ultrasound, but their analysis
is not yet part of routine TCCS. PCA branches like the anterior temporal and the occipitotemporal artery may be
particularly strong and can readily be visualized in MCA
occlusion (for further details on PCA branch anatomy,
see Chapter 2, “Posterior Cerebral Artery” under “Special
Arterial Anatomy and Ultrasound Anatomy”). Activation
of the contralateral A1-ACA in LMC may occur in ipsilateral ICA occlusion via the ACoA in cases with ipsilateral
A1-ACA aplasia or marked A1-ACA hypoplasia. Analysis
of fl ow asymmetry for evaluation of LMC activation in
the A1- and A2-ACA as well as in the P1-PCA is limited
because of their high anatomic variability. In contrast,
side-to-side comparison in the always-symmetrical P2PCA segments is worthwhile. Here, provided that the insonation angle is respected, a fl ow diff erence >50% clearly
indicates LMC activation while a diff erence >30% can be
considered highly suspicious.
Intracranial Collateral Pathways in ICA Occlusive
Processes
Primary Collaterals (ACoA and PCoA)
In extracranial ICA occlusion, involvement of the ACoA
via retrograde A1-ACA (cross-fl ow) is seen in up to 80%
of cases and activation of the PCoA can be seen in 70%
of cases (Demchuk et al 2000b, Henderson et al 2000)
(Fig. A5.158). If the diameter of both communicating arteries is too small for the required blood fl ow, they will
demonstrate raised fl ow velocities and turbulence (func-
tional stenosis) which is hemodynamically identical to a
real stenosis—i.e., in the intracranial downstream vessels a
so-called poststenotic fl ow pattern or low-resistance fl ow
signal will be present, its magnitude depending on the
diameter of the communicating artery. The post stenotic
fl ow pattern is characterized by a reduced fl ow velocity
(corresponding to a reduced blood fl ow), a delayed systol-
ic fl ow rise (caused by a small-diameter communicating
artery), and a raised diastolic fl ow component, the last
being attributable to a compensatory dilatation of the peripheral resistance vessels (see also Fig. A5.43, Fig. A5.44,
Fig. A5.45). In a large TCD study of 114 symptomatic and

168 5 Vascular Pathology
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All rights reserved. Usage subject to terms and conditions of license.
A
B
A1 contralateral
A1 ipsilateral M1 ipsilateral
Fig. A5.159 Left: Left proximal ICA occlusion. (A) DSA, selective
right ICA fi lling, posteroanterior view. Cross-fl ow via right A1-ACA,
ACoA (arrow), left A1-ACA into the left MCA territory. (B) TCCS,
transtemporal approach, axial midbrain plane (left-sided insonation). Color-mode image demonstrates the red-coded retrograde
A1-ACA fl ow (arrow). Right: Corresponding Doppler spectra of
the right, contralateral A1-ACA (strong antegrade fl ow), the ACoA
(raised fl ow velocity and turbulence), the ipsilateral A1-ACA (ret-
rograde fl ow) and the ipsilateral M1-MCA (mildly reduced fl ow ve-
locity). Note the transient oscillations within the left MCA Doppler
spectrum on digital tapping of the right extracranial ICA (arrows).
ACoA
asymptomatic patients with a >80% ICA stenosis, 54% of
patients demonstrated a poststenotic fl ow pattern which
the authors called a “blunted” waveform. Symptomatic
patients presented this pattern signifi cantly more often
than asymptomatic patients (80% versus 37%, respectively) (Hartmann et al 2000).
In a small TCD study including 17 patients with proximal ICA occlusion a poststenotic fl ow pattern was seen
in 67% of cases (Demchuk et al 2000b). This means that
one-third of these patients did not show any fl ow pro-
fi le alterations within the downstream vessels, indicating
good functioning of primary collateral pathways.
Whenever a cross-fl ow via the ACoA is present, the
A1-ACA of the unaff ected side shows raised fl ow veloci-
ties as it has to provide the blood supply for at least both
ACA territories and often also for the contralateral MCA
territory. If its fl ow velocity is clearly higher than that
of the ipsilateral MCA and ACoA, a cross-fl ow can be as-
sumed even if a direct visualization of the retrograde A1ACA on the side of the occlusion is diffi cult (Fig. A5.159).
Baumgartner and coworkers reported in a DSA-correlated
study in 78 patients with >70% stenosis- or occlusion-induced ACoA cross-fl ow, a peak systolic fl ow velocity of 141
± 36 cm/s within the A1-ACA contralateral to the occlusive process, and an M1-MCA velocity of 103 ± 27 cm/s on
the same side. In comparison, MCA fl ow velocities on the
occluded side were lower (79 ± 24 cm/s) (Baumgartner et
al 1996). The ACoA in these circumstances may become
apparent as a functional stenosis. If a turbulent fl ow is
also seen in the retrograde A1-ACA, transmission of turbulence from the ACoA or a functional stenosis of the
A1-ACA itself indicating (relative) hypoplasia may be the
underlying cause. The diameter of the ACoA and A1-ACA
determines the MCA waveform on the side of the occlu-
A B
A1
Fig. A5.160 Diff erent quality of collateral blood fl ow via the ACoA
in extracranial left ICA occlusion. Top: DSA, right ICA injection, pos-
teroanterior view. Bottom: Corresponding Doppler waveform of
the MCA ipsilateral to the occlusion. (A) Optimal collateral fl ow with
nearly simultaneous contrast fi lling of both MCA territories and
a l m o s t n o r m a l M C A w a v e f o r m r e v e a l i n g o n l y a m i l d e l e v a t e d d i a s tolic fl ow. (B) Impaired collateral fl ow with delayed MCA contrast
fi lling on the side of the occlusion and a marked poststenotic fl ow
pattern in the MCA mainly with an elevated diastolic fl ow but also
mild delayed systolic upraise. Note the assumed diff erent diameter
of the ACoA, explaining the divergent MCA fl ow signals.
A1
ACoA ACoA
A1 A1
sion which may appear almost normal, poststenotic, or in
the worst case venous-like. The DSA appearance of this
impairment is a delayed contrast fi lling on the side of the
occlusion (Fig. A5.160). TOF-MRA will show reduced signal intensity in the aff ected MCA as an equivalent of a
poststenotic fl ow (Fig. A5.161). A DSA-correlated study in
117 patients revealed a high diagnostic accuracy of crossfl ow detection by TCCS, provided that good insonation
conditions were present. If the ACoA cross-fl ow is defi ned
as a retrograde A1-ACA fl ow on the side of the occlusion,
or as an M1-MCA fl ow reduction on the side of the oc-
clusion on contralateral CCA compression, the sensitivity,
specifi city, and positive and negative predictive values
are 98%, 100%, 100%, and 98%, respectively (Baumgartner
et al 1997a). CCA compression should no longer be performed in routine ultrasound examination especially in
patients with vascular risk factors. In case of doubt about
the presence of an ACoA cross-fl ow, extracranial tapping
may help to identify the collateral fl ow pattern. If digital
tapping of the contralateral submandibular ICA leads to
a distinct oscillation eff ect within the ipsilateral MCA, a
cross-fl ow is highly likely.
If a collateral fl ow occurs via the ipsilateral PCoA, the
P1-PCA has raised fl ow velocities as it then also has to
provide the blood supply to parts or all of the total ipsilateral anterior circulation. The post-communicating PCA
segments may then reveal completely normal fl ow veloc-
ities. If not, additional leptomeningeal collateralization
must be present (Fig. A5.162 and Fig. A5.163). In the study
by Baumgartner and coworkers (1996), the peak systolic
P1-PCA fl ow velocities were 107 ± 31 cm/s on the side of
the occlusive process and 69 ± 13 cm/s on the contralateral side. Often the PCoA is then easy to visualize in color
mode because of the raised fl ow velocities. Also, functional
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