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BRAINA JOURNAL OF NEUROLOGY
Vergence deficits in patients with cerebellarlesionsT. Sander,1 A. Sprenger,1 G. Neumann,1 B. Machner,1 S. Gottschalk,2 H. Rambold1 andC. Helmchen1
1 Department of Neurology, University Hospitals Schleswig-Holstein, Campus Lubeck, Ratzeburger Allee 160, Germany
2 Institute of Neuroradiology, University Lubeck, D-23538 Lubeck, Germany
Correspondence to: Thurid Sander, MD,
Department of Neurology,
University Hospitals Schleswig-Holstein,
Campus Lubeck, Ratzeburger Allee 160,
D-23538 Lubeck, Germany
E-mail: [email protected]
The cerebellum is part of the cortico–ponto–cerebellar circuit for conjugate eye movements. Recent animal data suggest an
additional role of the cerebellum for the control of binocular alignment and disconjugate, i.e. vergence eye movements. The
latter is separated into two different components: fast vergence (to step targets) and slow vergence (to ramp and sinusoidal
targets). The aim of this study was to investigate whether circumscribed cerebellar lesions affect these dynamic vergence eye
movements. Disconjugate fast and slow vergence, conjugate smooth pursuit and saccades were binocularly recorded by a scleral
search coil system in 20 patients with acute cerebellar lesions (all ischemic strokes except for one) and 20 age-matched healthy
controls. Patients showed impairment of slow vergence while fast vergence was unaffected. Slow vergence gain to sinusoidal
targets was significantly reduced, both in convergence and divergence direction. Divergence but not convergence velocity to
ramp targets was reduced. Conjugate smooth pursuit eye movements to sinusoidal and to step-ramp targets were impaired.
Patients had saccadic hypometria. All defects were particularly expressed in patients with vermis lesions. In contrast to recent
animal data fast vergence was not impaired in any of our patient subgroups. We conclude that (i) the human cerebellum,
in particular the vermis, is involved in the processing of dynamic vergence eye movements and (ii) cerebellar lesions elicit
dissociable effects on fast and slow vergence.
Keywords: fast vergence; slow vergence; divergence; vermis
Abbreviations: FEF = frontal eye field; FOR = fastigial oculomotor region; IP = posterior interposed nucleus; MST = medial superiortemporal area; NRTP = nucleus reticularis tegmenti pontis; SEF = supplementary eye field; SE = standard error; SPEM = smoothpursuit eye movements.
IntroductionNeurologists usually use eye movements at the bedside as a
sensitive parameter for topodiagnostic localization and pathophy-
siological understanding of involuntary eye movements (Leigh
and Zee, 2006; Ramat et al., 2007). Clinical textbook knowledge
is usually related to conjugate eye movements, i.e. movements
that rotate the eyes simultaneously in the same direction by
about the same amount in frontoparallel planes. Unlike those
conjugate movements, vergence eye movements refer to eye
movements that rotate the eyes simultaneously in the opposite
direction (disconjugate eye movements). Frontal-eyed human
and non-human primates use the vergence system to track
a moving target in sagittal planes or to change the gaze point
in depth. To track a target in 3D space both systems have
to be coordinated. Under natural viewing conditions, shifts of
doi:10.1093/brain/awn306 Brain 2009: 132; 103–115 | 103
Received June 30, 2008. Revised September 22, 2008. Accepted October 21, 2008. Advance Access publication November 26, 2008
� The Author (2008). Published by Oxford University Press on behalf of the Guarantors of Brain. All rights reserved.
For Permissions, please email: [email protected]
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the point of fixation usually combine vergence and saccade
movements.
Neurons in the medial superior temporal visual area (MST),
the supplementary eye field (SEF) and the frontal eye field (FEF)
are active during either smooth pursuit or vergence eye move-
ments or their combination (Fukushima et al., 2004; Akao et al.,
2005a, b). MST and the caudal FEF neurons are likely to be
involved in the initiation of vergence eye movements. There
is some evidence that smooth pursuit and vergence eye move-
ments are processed separately in the brainstem (Mays et al.,
1986), and neurons discharging during divergence and con-
vergence are also anatomically separated (Gamlin, 2002). One
downstream pathway from the caudal FEF reaches the nucleus
reticularis tegementi pontis (NRTP) (Suzuki et al., 1999). NRTP
also receives input from superior colliculi and pretectal midbrain
areas and projects to the deep cerebellar nuclei. There is some
evidence from animal experiments that NRTP is involved in the
cortico-ponto-cerebellar circuits for disconjugate eye movements
(vergence) (Gamlin and Clarke, 1995; Gamlin et al., 1996; Gamlin,
2002).
Like conjugate smooth pursuit and saccadic eye movements,
vergence can be distinguished in vergence responses to ramp
(slow vergence) and to step (fast vergence) targets. We have
recently identified impairment of slow vergence in patients with
caudal pontine infarctions involving the NRTP while fast vergence
responses to step targets remained unaffected (Rambold et al.,
2004). In contrast, upper pontine lesions, which spare NRTP,
elicit an additional deficit of fast vergence (Rambold et al.,
2005a). These data provide some evidence that (i) pontine
nuclei are involved in vergence processing and (ii) fast and slow
vergence may be under separate neural control. This is in contrast
to the cortical vergence control which does not seem to show
dissociable activity to slow and fast vergence (Gamlin and Yoon,
2000; Akao et al., 2005b).
For conjugate eye movements (e.g. smooth pursuit) the pontine
nuclei, particularly NRTP, are known to be a crucial precerebellar
relay to the cerebellum, particularly the dorsal vermis (Thielert and
Thier, 1993). Purkinje cells in the vermis discharge during smooth
pursuit and saccadic eye movements in one depth plane (Suzuki
and Keller, 1988; Helmchen and Buttner, 1995; Krauzlis and
Miles, 1998; Barash et al., 1999; Takagi et al., 2000). There
is accumulating evidence that the cerebellum is also involved
in the processing of vergence: (i) cerebellar ablation elicits transi-
ent paralysis of convergence (Westheimer and Blair, 1973);
(ii) patients with degenerative cerebellar disease have impaired
binocular alignment (esotropia during binocular viewing) and dis-
conjugate saccadic dysmetria (Versino et al., 1996); (iii) anatomical
projections of brainstem areas carry vergence signals to the dorsal
vermis and deep cerebellar nuclei (May et al., 1992; Gamlin et al.,
1996) and (iv) vermis is activated in humans during the near
response (Richter et al., 2004). Recently, vergence related neurons
have been recorded in the posterior vermis of monkeys (Nitta
et al., 2008a,b). Accordingly, vermis lesions elicited impairment
of vergence, static alignment (Takagi et al., 2003), and conjugate
smooth pursuit impairment (Nitta et al., 2008a,b). There is some
additional evidence that the deep cerebellar nuclei, i.e. posterior
interposed (IP) (Gamlin et al., 1996; Zhang and Gamlin, 1998;
Gamlin, 1999, 2002) and fastigial nucleus (FOR) (Gamlin and
Zhang, 1996; Zhang and Gamlin, 1996; Gamlin, 1999, 2002)
are involved in vergence.
The aim of our study was to elucidate the role of the cerebellum
in dynamic vergence in patients with acute circumscribed cerebel-
lar lesions. Static misalignments and disconjugate dysmetria
have been studied in cerebellar patients (Versino et al., 1996).
However, no patient study has examined dynamic vergence
yet. We specifically hypothesized that the vermis is implicated
in vergence processing and that vermis lesions impair tracking
in depth. We examined divergence and convergence as well as
slow and fast vergence separately since animal studies and our
previous studies in patients with pontine lesions showed selective
impairment. As fast and slow vergence are age related (Rambold
et al., 2006) we compared patients with age-matched healthy
control subjects.
Methods
SubjectsTwenty patients (mean age: 54 years, range: 26–81 years) participated
in the study. All had an acute cerebellar infarction (53 weeks after
stroke) except for one patient (#13) who had a cavernoma. All sub-
jects gave written informed consent for participation in the study
which was conducted in accordance with the Declaration of Helsinki
and approved by the Ethics Committee of the University of Luebeck.
All patients were clinically examined at the day of recording by two
experienced neuro-ophthalmologists (CH, TS). Symptoms and clinical
signs of patients are listed in Table 1. Patients had no other history
of previous neurological disease affecting the central nervous system.
Most of the patients complained about acute gait unsteadiness and
dizziness. Ataxia of gait and stance was the leading clinical sign.
Neuro-ophthalmological examination revealed cogwheel pursuit in
most of the patients. All of them were able to perform vergence
eye movements to targets slowly moving towards or away from
the patient’s nose. None of them had visible cogwheel slow vergence
eye movements. Fast vergence responses appeared largely unimpaired
in most of the patients. Vision and stereovision (Stereo Optical Co.,
Inc., Chicago, OH, USA) were examined in all patients as well as
the subjective visual vertical. All patients had a visual acuity above
20/25. At the time of eye movement recordings none of the patients
had nystagmus or blurred vision any more; there was no clinical evi-
dence for static misalignment, particularly skew deviation. Binocular
fusion (Bagolini Test) and stereovision were normal (51000 0). All
patients had a high resolution MRI scan of the brain (see below).
Twenty healthy control subjects (mean age: 54 years, range: 26–81
years) without any previous history of neurological symptoms or
diseases participated in the study as controls and were normal on
neurological examination. Neither patients nor healthy subjects were
on medications known to have side-effects on the central nervous
system.
Eye movement recording and stimuliBinocular eye movements were recorded by a scleral search coil system
(Remmel Labs), which has three orthogonal magnetic fields and a
frame size of 180 cm. The two eyes were calibrated using a combined
off-line in vitro and in vivo calibration based on previous studies
104 | Brain 2009: 132; 103–115 T. Sander et al.
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(Rambold et al., 2002b, 2004). Using the inter-ocular distance
(5.8–7.2 cm) the vergence angles of the stimuli were calculated for
each subject individually. The subject’s head was comfortably stabilized
in a natural upright position with a chin rest and the forehead was
kept stationary by a firm head support.
Conjugate eye movements were elicited by a laser stimulus
projected on a flat white tangent screen that was 145 cm from the
subject’s eyes in dark surroundings while vergence stimuli were
produced by a laser stimulus projected onto a horizontal plane 3 cm
below the level of the eyes and aligned in the patient’s midsagittal
plane (Rambold et al., 2002b). Due to the slightly lowered stimulus
platform eye movements were accompanied by small (vertical)
saccades. The laser target (spot diameter: 0.1�, 635 nm) was moved
by mirror galvanometers, precise timing was controlled by a PC.
Experimental paradigmsAs it was our aim to study the effect of cerebellar lesions on vergence
but not saccade–vergence interaction we designed the stimulus to
move either in the midsagittal plane or in the frontoparallel plane in
order to investigate the subsystems separately. All subjects were exam-
ined using the following paradigms: slow and fast vergence, conjugate
smooth pursuit eye movements and horizontal saccades. Due to
the non-linear relation between target distance and target vergence,
we included this non-linearity in the stimulus control in order to elicit
constant vergence angle motion. To prevent anticipatory effects the
duration of fixation before each trial was varied from 1500 to
2500 ms.
Vergence
(i) Slow sinusoidal vergence was elicited by a sinusoidal moving laser
target at 0.12 Hz and 3.6� amplitude (range 4.7–8.3�, peak velocity
1.35�/s). (ii) Slow vergence responses to ramp stimuli of 1.5�/s velo-
city were elicited in divergence and convergence directions (20 repeti-
tions, pseudorandomized); convergence started at 2.8� vergence angle,
divergence at 10.0� vergence angle. (iii) Laser stimuli for divergence
and convergence steps were presented with a vergence angle ampli-
tude of 7� moving between 3.0� vergence angle at distance and 10.0�
vergence angle at nearness.
Conjugate smooth pursuit
Conjugate smooth pursuit eye movements were elicited by a sinusoidal
slowly moving target (0.2 Hz,� 25�amplitude). Smooth pursuit initia-
tion was tested by a step ramp smooth pursuit paradigm (Carl and
Gellman, 1987; Helmchen et al., 2003). Each sequence consisted of
10 foveopetal pursuit step-ramps (3� step, opposite to ramp direction,
20�/s ramp velocity) to either side, presented in a random order.
Conjugate saccadesConjugate horizontal saccades of 10� and 20� amplitude were per-
formed to either side in a pseudorandomized order (four repetitions
Table 1 Clinical data of patients with cerebellar lesions
# Gender Age Symptom Clinical sign
1 f 45 Dizziness, nausea, headache,clumsiness of the left side
Cogwheel smooth pursuit, hemiataxia left
2 f 43 Blurred vision, vertigo, nausea,gait unsteadiness
Downbeat nystagmus, hemiataxia right, gait ataxia,lateropulsion to the right, cogwheel smooth pursuit
3 m 67 Blurred vision, dizziness, nausea, vomiting,dysarthria
Dysarthria, dysphagia, gaze evoked nystagmus, hemiataxia right,cogwheel smooth pursuit, lateropulsion to the right, gait ataxia
4 m 55 Vertigo, nausea, vomiting, gaitunsteadiness,blurred vision
Spontaneous nystagmus to the left, lateropulsion to the left,gait ataxia, cogwheel smooth pursuit
5 m 43 Vertigo, blurred vision, gait unsteadiness,clumsiness of the right side
Hemiataxia right, gait ataxia, lateropulsion to the right
6 m 48 Blurred vision, dizziness, nausea, vomiting Hemiataxia left, gait ataxia
7 m 51 Dizziness, nausea, vomiting Gaze evoked nystagmus, hemiataxia left, lateropulsion to the left,cogwheel smooth pursuit
8 m 63 Dizziness, nausea, gait unsteadiness,clumsiness of the left hand
Gaze evoked nystagmus, dysarthria, hemiataxia left, gait ataxia,lateropulsion to the left
9 m 57 Dizziness, nausea, gait unsteadiness Gait ataxia, lateropulsion to the left
10 m 69 Gait unsteadiness, headache Gaze evoked nystagmus, gait ataxia
11 m 69 Vertigo, nausea, gait unsteadiness,headache
Somnolence, dysarthria, gaze evoked nystagmus, hemiataxia left,lateropulsion to the left
12 f 64 Nausea, vomiting, headache Cogwheel smooth pursuit, gaze evoked nystagmus, hemiataxia left
13 f 51 Dizziness Cogwheel smooth pursuit
14 m 68 Dizziness, clumsiness of the left hand Hemiataxia left, gait ataxia, lateropulsion to the left
15 m 50 Vertigo, nausea, gait unsteadiness,clumsiness of the left side
Gaze evoked nystagmus, dysarthria, hemiataxia left, gait ataxia,lateropulsion to the left
16 f 26 Vertigo, nausea, vomiting, dysarthria,dysphagia
Cogwhell smooth pursuit, gait ataxia
17 m 59 Dizziness, headache Gaze evoked nystagmus, hemiataxia right, lateropulsion to theright, gait ataxia, cogwheel smooth pursuit
18 f 29 Dizziness, nausea, vomiting,gait unsteadiness
Gaze evoked nystagmus, lateropulsion to the right,cogwheel smooth pursuit
19 m 81 Blurred vision, dizziness Cogwheel smooth pursuit
20 m 77 Dizziness, gait unsteadiness Hemiataxia right, gait ataxia, lateropulsion to the right
Vergence and cerebellum Brain 2009: 132; 103–115 | 105
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per direction and each amplitude), starting from gaze straight ahead,
i.e. 10 centrifugally and 10 centripetally.
Data analysisEye movements were recorded unfiltered by a 16-bit AD converter
(NI PCI 6033E) at a sampling rate of 600 Hz. After calibration all
position data were filtered by using a 100 Hz (3-dB value) Gaussian
filter (Matlab, The Math-Works, Natick MA, USA). Horizontal disparity
vergence was calculated as left minus right horizontal eye position,
horizontal version eye position was calculated as cyclopean eye
(average of left and right eye position). Positive values indicate right-
ward, upward, or convergence movement direction and negative
values indicate leftward, downward, or divergence movement direction
of the eyes. Slow eye movements (sinusoidal vergence and version,
ramp stimuli) were analysed using de-saccaded and linearly interpo-
lated eye velocity signals.
Analysis of sinusoidal vergence was performed after applying a
20 sample median filter and a 30 Hz Gaussian filter. Vergence gain
was calculated as the ratio of best fitted vergence velocity to target
velocity.
Slow vergence to ramp stimuli were analysed by using mean eye
velocity values (filtered by 30 sample median filter and 20 Hz Gaussian
filter) for each direction; in order to detect peak acceleration multiple
linear regressions were calculated consecutively for 600 ms beginning
at ramp onset. The slope of the regression with the highest slope and
lowest Euclidian distance was defined as peak acceleration. The inter-
section of the regression line with zero was defined as latency. The
analysis was controlled and adjusted interactively if required. Mean
vergence velocity was quantified over the period of 600–4000 ms.
For the ramp stimuli means of individual responses were derived
from averaged data (control: 13 trials, median, range 10–20; patients:
14 trials, median, range 9–20).
Fast vergence to step target trials were analysed by using filtered
vergence velocity (four sample median filter, 70 Hz Gaussian filter) on
a trial by trial basis similar to the saccade analysis (see below).
Conjugate smooth pursuit eye movements were analysed offline
using an interactive program. Eye position data were low pass filtered
by a 50 Hz Gaussian filter. Pursuit eye velocity was calculated by
differentiating the mean eye position of the eight data points (equiva-
lent 13.3 ms) before and the eight data points (equivalent 13.3 ms)
after that given data point. Sinusoidal smooth pursuit velocity gain
was calculated similar to sinusoidal vergence velocity. Step-ramp
latency, initial acceleration and steady state velocity (interval 400–
800 ms) were analysed as reported previously (Carl and Gellman,
1987; Helmchen et al., 2003). The gain was calculated by the ratio
of eye velocity to target velocity.
Saccades were filtered by a 100 Hz Gaussian filter (–3 dB) and pre-
detected automatically using velocity threshold of 30�/s and subse-
quently searching for peak velocity in a time window of 50 ms.
Begin and end of saccade were detected at the level of 20�/s.
All computerized saccade detections were controlled and adjusted
manually if required.
Mean data are given with standard error unless otherwise stated.
Dependent variables were analysed by analysis of variance (ANOVA),
including a within-subject factor direction (convergence, divergence)
and a between-subject factor group (patient, control). For post-hoc
comparison of two groups or conditions Student’s t test was per-
formed. Statistics was applied using SPSS package (SPSS 15.0.1,
SPSS Inc., Chicago, IL, USA), statistical significance was considered
at P-values 50.05.
SubjectsWe compared mean data of oculomotor parameters between cerebel-
lar patients and controls. Based on our specific a priori hypothesis we
also analysed patients with (n = 11) versus those without (n = 9) vermis
lesions. Due to the low number of patients with floccular lesions (n = 3)
statistical comparison was not possible. There was a large overlap
of patients with vermis and deep cerebellar nuclei lesions (n = 9).
However, seven patients had vermis sparing lesions of the deep cere-
bellar nuclei, which were compared to controls.
MRI scanning and anatomicalreconstructionHigh-resolution MRI was performed with an MRI unit (1.5-T Siemens
Magnetom Symphony; Siemens, Erlangen, Germany) using a contrast-
enhanced T1-weighted spin-echo and a T2-weighted turbospin-echo
sequence with a slice thickness of 3 mm.
Vascular supply assignment was conducted according to pre-
viously validated MR anatomic templates (Tatu et al., 1996). Lesions
were systematically analysed by one experienced neuroradiologist
irrespective of and blinded for the clinical data. They were recon-
structed according to the appropriate axial and sagittal sections
of the MRI atlas of the human cerebellum (Schmahmann et al.,
2000) (Fig. 1). Analysis was focused on specific regions (e.g. flocculus,
uvula/nodulus, deep cerebellar nuclei and posterior vermis, see
Table 2) with respect to regions potentially involved in the control
of vergence.
Results
Lesion dataIschemic strokes were confined to the cerebellum. Sixteen out of
20 patients had an infarction in the territory of the posterior infer-
ior cerebellar artery (PICA; 11 left-sided, 5 right-sided lesions), five
patients suffered from an infarction in the territory of the superior
cerebellar artery (SCA, four right-sided, one left-sided); one (#5)
of these patients had a combined unilateral SCA and PICA infarc-
tion, another patient bilateral infarctions (PICA, SCA, #4, Table 2).
Affected regions of interest with respect to the control of smooth
pursuit and vergence eye movements are listed in Table 2. Eleven
patients had lesions involving the vermis while nine patients
had vermis sparing lesions. Sixteen patients showed lesions of
the deep cerebellar nuclei, nine of them combined with vermis
lesions and seven with vermis sparing lesion of the deep cerebellar
nuclei.
Eye movementsEye movement data will be presented in the sequence of the
following comparisons: (i) patients versus healthy control subjects,
(ii) subgroup analysis of patients with vermis versus vermis sparing
cerebellar lesions, (iii) patients with vermis sparing lesions of the
deep cerebellar nuclei versus healthy controls.
106 | Brain 2009: 132; 103–115 T. Sander et al.
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Comparison of patients versus healthycontrol subjects
Disconjugate eye movements
Slow vergence
In sinusoidal vergence tasks patients showed significantly smaller
slow vergence gain (0.76� 0.03, T(27) = 3.33, P50.01) than
age-matched control subjects (0.89� 0.03) (Fig. 2, Table 3).
There was no difference between the phase shift of patients and
controls (controls = 5.97� 0.94, patients = 8.77� 2.00, T(27) =
�1.12, P = 0.273) during sinusoidal vergence responses. Slow ver-
gence gain was calculated for each direction separately. Analysis
of variance with between-subject factor GROUP and within-
subject factor DIRECTION revealed a main effect of DIRECTION
[F(1,27) = 5.19, P = 0.031] but no interaction of GROUP�
DIRECTION. A post-hoc t test showed no directional gain asym-
metry in patients (gain convergence: 0.77� 0.03, gain divergence:
0.75� 0.03, P = 0.49). For illustration, Fig. 2 shows original
recordings of sinusoidal slow vergence eye movements of one
patient (A, #17) and a control subject (B).
In the ramp paradigm analysis of variance (ANOVA) on mean
vergence velocity revealed no effect of DIRECTION but a
significant interaction of DIRECTION�GROUP [F(1,26) = 4.39,
P50.05]. Post-hoc t tests showed a reduced mean vergence velo-
city in divergence (1.33� 0.05�/s, T(27) = 2.90, P50.01) but not
in convergence direction (1.51� 0.06�/s), when compared with
the control subjects (divergence: 1.55� 0.06�/s, convergence:
1.55� 0.05�/s) (Fig. 3). There was some variability of vergence
velocities (even in healthy controls) but most individual patients
had reduced divergence (but not convergence) velocity compared
to the control subjects. Even when comparing individual velocities
for convergence and divergence there was a consistent reduction
of divergence in most patients.
Analysis of variance for slow vergence latency and acceleration
of DIRECTION (convergence, divergence) and between subject
factor GROUP (patient, control) showed a significant main effect
for DIRECTION (P always50.001) but no interaction. Acceleration
Fig. 1 Topographic distribution of isolated cerebellar infarctions in the territory of either the superior cerebellar artery (SCA, #1–5) or
the posterior inferior cerebellar artery (PICA, #4–12 and #14–20) and the lesion of one cavernoma (#13) according to MRI recon-
struction (Tatu et al., 1996). On the left side section levels of the anatomical reconstruction are shown on axial slices, either at the level
of the upper pons (SCA) or at the level of the pontomedullary junction (PICA). The extent of the lesions is demonstrated in grey. For
the sagittal reconstruction a slightly paramedian slice was chosen. Patient #4 and 5 had combined lesions (#4: SCA right and PICA left,
#5: SCA and PICA left). Note that due to the selected section levels some lesions are not represented in both the axial and the sagittal
slice.
Vergence and cerebellum Brain 2009: 132; 103–115 | 107
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of divergence (div.) responses to ramp stimuli were smaller
compared to convergence (conv.), both in controls (div.:
10.42� 0.87�/s2; conv.: 13.38� 0.91�/s2) and patients (div.:
9.47� 0.81�/s2; conv.: 14.23� 1.34�/s2). However, there was
no difference between controls and patients in any direction.
There was also no latency difference between controls and
patients, neither in convergence nor in divergence (Table 3).
Fast vergence
Group comparison of vergence responses to step targets (fast
vergence) did not show significant differences between patients
and control subjects with respect to latency, gain, peak velocity,
neither for convergence nor for divergence (Fig. 4, Table 3).
Accompanying small vertical saccades during vergence steps
showed vertical and horizontal disjunctive components. The part
of the vertical disjunctive component on the vertical amplitude
was 3.49� 1.57% and of the horizontal disjunctive component
6.53� 2.17% (Versino et al., 1996).
Conjugate eye movements
Smooth pursuit
Patients showed significantly lower smooth pursuit velocity gain
(0.78� 0.04) than control subjects (0.94� 0.01, T(17) = 3.62,
P50.01) (Fig. 5A) and a significant increased phase shift during
sinusoidal smooth pursuit (patients = 4.05� 0.70, controls =
1.67� 0.46, T(18) =�2.70, P = 0.015). Initial acceleration of
smooth pursuit in the step-ramp paradigm was decreased in
all patients (39.79� 4.03�/s2, T(18) = 4.94, P50.001) when com-
pared with control subjects (79.15� 7.33�/s2) (Fig. 5B). Latency
of smooth pursuit in the step-ramp paradigm was significantly
prolonged in patients (231.95� 12.33 ms) versus controls
(165.77� 4.80 ms, T(18) =�4.61, P50.001) (Fig. 5C). Steady
state velocity pursuit gain was significantly smaller in patients
(0.68� 0.06) than in control subjects [0.86� 0.35, T(18) = 2.35,
P = 0.03].
Saccades
Since amplitude gain did not differ between 10� and 20� target
amplitudes data were pooled. Patients showed hypometria with
a significantly lower saccade gain (0.81� 0.02) than control sub-
jects [0.91� 0.01, T(2,25) = 4.01, P = 0.001] (Fig. 5D).
Comparison of patients with versuspatients without vermis lesion
Slow vergence
In sinusoidal vergence tasks there were significant differences
between patients with and without vermis lesions, when com-
pared with controls [F(2,28) = 6.25 P50.01]. In post-hoc tests,
patients with vermis lesions (0.73� 0.05) but not patients without
vermis lesions (0.79� 0.03) had significantly lower slow vergence
gain when compared to controls (P50.01). Patients without
vermis lesions did not significantly differ from controls (Fig. 6A).
In a subgroup ANOVA of mean vergence velocity in the ramp
task, mean divergence velocity was different between the three
groups [F(2,28) = 6.07, P50.01]. Post-hoc analysis showed
significant differences between patients with vermis lesions
(1.23� 0.09�/s) compared to controls (P50.01) while those with-
out vermis lesions (1.40� 0.04�/s) did not differ from controls
(Fig. 6B). In contrast, there was no difference for mean conver-
gence velocity between these subgroups. Unlike the group of all
patients, latency of divergence response to ramp stimuli was
Table 2 Reconstruction of cerebellar lesion sites
# Age Lesion type SCA PICA AICA Flocculus Uvula/Nodulus
Deepcerebellar nuclei
Tonsil Vermis Hemisphere Cerebellarpeduncle
1 45 Stroke Left � � � � + � � lob IV, V +
2 43 Stroke Right � � � � + � � lob IV, V +
3 67 Stroke Right � � � � + � + lob IV �
4 55 Stroke Right Left � � � + � + Crus I �
5 43 Stroke Right Right � � � + � � Crus I �
6 48 Stroke � Left � � + + + + Crus I, lob VII �
7 51 Stroke � Left � � + + + + Crus I, lob IV-VI �
8 63 Stroke � Left � + � + + + Crus I, II, lob VIII �
9 57 Stroke � Left � � + + + + Crus I, lob VI �
10 69 Stroke � Left � � + + + + Crus I, II �
11 69 Stroke � Left � + � + + + Crus II, Lob VII, VIII +
12 64 Stroke � Left � + � � + + Crus I, II �
13 51 Cavernoma � � � � + + + � lob VIII �
14 68 Stroke � Left � � � + + � Crus I, II, lob VI �
15 50 Stroke � Left � � + � + � VII, VIII �
16 26 Stroke � Left � � � + + � VIII �
17 59 Stroke � Right � � � � + + Crus I, II �
18 29 Stroke � Right � � + + + � Crus I, II, lob VI �
19 81 Stroke � Right � � + + � + Crus I, II �
20 77 Stroke � Right � � � � + � Crus I �
+ = affected, �= unaffected.
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significantly longer in patients with vermis lesions (205.23�
22.3 ms) than in controls [147.36� 9.95 ms, T(17) =�2.72,
P = 0.01] (Fig. 6C). Patients with vermis sparing cerebellar lesions
(152.59� 15.40 ms) did not differ from controls.
Fast vergence
Group comparison of vergence responses to step targets (fast
vergence) did not show significant differences between patients
with and without vermis lesions (Table 3).
Conjugate smooth pursuit
Subgroup ANOVA showed a significant difference in sinusoidal
conjugate smooth pursuit gain between the groups [F(2,18) =
7.37, P50.01]. Patients with vermis lesions (0.74� 0.06) had sig-
nificantly lower smooth pursuit velocity gain than controls
(P50.01) while patients without vermis lesions (0.81� 0.05) did
not differ from controls (0.94� 0.01).
Subgroup analysis (ANOVA) of smooth pursuit in the step-ramp
paradigm revealed that the initial acceleration of both, patients
with vermis [37.42� 3.90�/s2, F(2,19) = 11.92, P = 0.001] and
those with vermis sparing cerebellar lesions (43.95� 9.32�/s2,
P = 0.01) was significantly reduced compared to healthy controls
(79.15� 7.33�/s2). Subgroup ANOVA of smooth pursuit latency
showed a significant difference when both patient subgroups
[F(2,19) = 10.66, P = 0.001] were compared with controls.
Patients with (226.31� 15.6 ms, P50.01) and without
(241� 22.20 ms, P50.01) vermis lesions did not differ in latency.
Conjugate saccades
Saccadic hypometria was found in both patients with vermis
lesions and patients with vermis sparing cerebellar lesions. The
subgroup analysis revealed a difference between controls and
both subgroups of cerebellar patients [F(2,26) = 8.36, P50.01].
Both patient subgroups had a lower saccadic gain than control
subjects [patients with vermis lesion (0.82� 0.02, P = 0.01);
patients with vermis sparing cerebellar lesions (0.81� 0.04,
P50.01)].
Comparison of healthy control subjectsand patients with vermis sparinglesions of the deep cerebellar nuclei
Slow vergence
In sinusoidal vergence tasks mean vergence gain did not differ
between healthy controls and patients with vermis sparing lesions
of the deep cerebellar nuclei [T(17) = 1.72, P = 0.10; controls
0.90� 0.03, patients 0.82� 0.03].
There were no significant differences in the mean vergence
velocity in the ramp task between healthy controls and patients
with vermis sparing lesions of the deep cerebellar nuclei (n = 7),
neither for convergence [T(17) = 0.12, P = 0.86; controls 1.55�
0.05�/s, patients 1.53� 0.07�/s] nor for divergence [T(17) =
1.61, P = 0.13; controls 1.55� 0.06�/s, patients 1.42� 0.04�/s].
Comparison between slow conjugateand disconjugate eye movementsPatients showed a reduced vergence and conjugate smooth
pursuit gain with sinusoidal stimulation, particularly patients with
vermis lesions. However, there was no significant correlation
between both parameters (controls: R = 0.07, P40.05, R2 = 0.00;
patients: R = 0.60, P40.05, R2 = 0.36). There was no significant cor-
relation between the phase shift of sinusoidal vergence and
smooth pursuit (controls: R = 0.15, P = 0.70, R2 = 0.02, patients:
R = 0.56, P = 0.09, R2 = 0.31). Furthermore, there was no signifi-
cant correlation between conjugate smooth pursuit steady state
Fig. 2 Original recordings of (slow) sinusoidal vergence
position and velocity responses of a patient (A) and an age-
matched control subject (B). The upper row shows original
position data (black), the lower row velocity data (original data
in black, velocity fit in blue). The red traces reflect the target
position (0.12 Hz, upper row), respectively, the horizontal
target velocity (lower row). Gain (�SE) of sinusoidal vergence
velocity is plotted for control subjects (black) and patients
(grey); significant differences are indicated by asterisk in C.
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velocity in the step-ramp paradigm and vergence mean velocity
in the ramp paradigm (controls: convergence: R = 0.49, P40.05,
R2 = 0.24; divergence: R = 0.25, P40.05, R2 = 0.06; patients: con-
vergence: R = 0.49, P40.05, R2 = 0.24; divergence: R = 0.42,
P40.05, R2 = 0.17).
DiscussionBased on several lines of evidence we tested the hypothesis that
vergence eye movements are impaired in patients with circum-
scribed cerebellar lesions. This assumption is derived from anato-
mical (May et al., 1992; Gamlin et al., 1996), single unit
recording (Nitta et al., 2008a,b) and lesion studies in animal
experiments (Takagi et al., 2003). Here we show that disparity-
induced vergence to slowly moving targets is impaired in cerebel-
lar patients, particularly in patients with vermis lesions. In contrast,
fast vergence to step targets remained unimpaired. Concomitantly,
patients showed reduced acceleration in the initiation of conjugate
smooth pursuit, diminished smooth pursuit gain and saccadic
hypometria. The main implications of our study are 2-fold:
(i) the human cerebellum is involved in vergence processing and
(ii) the cerebellum, noticeably the vermis, controls slow vergence.
After a brief consideration of methodological aspects of ver-
gence eye movements, we will focus on the implications of iden-
tified vergence abnormalities for the role of the cerebellum in
the control of slow and fast vergence eye movements.
Methodological considerationsThe slighty lowered position of the stimulus platform caused
accompanying small vertical saccades during vergence eye move-
ments particularly during vergence steps. Since (vertical) saccades
enhance horizontal vergence step responses (Enright, 1984; Zee
et al., 1992; Busettini and Mays, 2005), one portion of the ver-
gence step movement is affected by saccadic enhancement.
However, the influence of saccades should be the same for
patients and controls due to the same laboratory setup. The dis-
junctive portion of these accompanying saccades was negligibly
small and has probably no impact on the vergence responses.
Vergence eye movements can be distinguished in vergence to
step (fast or transient vergence) and to ramp targets (slow or
sustained vergence) (Jones, 1980; Schor, 1980; Hung et al.,
1983; Semmlow et al., 1986, 2007; Erkelens et al., 1989b;
Semmlow and Yuan, 2002a,b; Gayed and Alvarez, 2006; Leigh
and Zee, 2006; Straumann, 2007). Both subsystems have different
properties: the fast vergence system is best elicited by stimuli with
large retinal disparity errors; the slow vergence by small disparity
Table 3 Vergence data
Control Patients (all) Vermis Non-vermis
Con Div Con Div Con Div Con DivMean� SE Mean� SE Mean� SE Mean� SE Mean� SE Mean� SE Mean� SE Mean� SE
Fast vergence
Gain 0.89� 0.04 0.86� 0.04 0.84� 0.29 0.81� 0.03 0.81� 0.06 0.78� 0.06 0.86� 0.02 0.83� 0.02Velocity (�/s) 43.70� 3.97 41.41� 2.63 46.89� 3.54 45.25� 2.81 42.33� 3.30 39.46� 4.94 50.08� 5.47 49.31� 2.85Latency (ms) 193.53� 6.04 182.22� 13.62 193.53� 6.62 191.18� 7.52 194.17� 6.04 205.71� 9.66 193.08� 10.75 181.00� 9.96
Slow vergence ramp
Velocity (�/s) 1.55� 0.05 1.55� 0.06 1.51� 0.06 1.33� 0.05 1.48� 0.11 1.23� 0.09 1.54� 0.06 1.40� 0.04Latency (ms) 203.19� 10.96 147.36� 9.95 241.04� 19.27 175.62� 14.29 237.38� 24.20 205.23� 22.3 243.89� 29.89 152.59� 15.40Acceleration (�/s2) 13.38� 0.91 10.42� 0.87 14.23� 1.34 9.47� 0.81 12.94� 2.20 7.97� 1.01 15.23� 1.69 10.64� 1.09
Slow vergence sinus
Gain 0.89� 0.03 0.76� 0.03 0.73� 0.05 0.79�0.03
Fig. 3 Data of vergence to ramp stimuli. Vergence velocity
responses (mean � SE) of one patient with a vermis lesion (red)
and a control subject (black); target velocity is indicated by a
red dashed line; latencies are indicated by coloured arrows in
A. Vergence mean velocity (absolute values = abs., �SE) of
controls (black column) and patients (grey) for convergence
and divergence; significant differences are indicated by aster-
isks in B. Divergence but not convergence is significantly
reduced in patients.
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errors and disparity velocities of less than 3�/s (Erkelens et al.,
1989a). Semmlow and co-workers (1986) suggested stimulus
velocities up to 2�/s to elicit slow vergence, velocities larger
than 4�/s to evoke fast vergence. Accordingly, for slow vergence
we have chosen 1.5�/s and 7�/s disparity angle for fast vergence.
Furthermore these stimulus properties are comparable to our pre-
vious studies in healthy human subjects and patients (Rambold
et al., 2004, 2005a, 2006).
Fig. 4 Fast vergence responses to step targets [vergence position (Verg Pos), vertical eye position (Vert Pos) and peak vergence
velocity (Verg Vel)] in a patient (left) and an age-matched control subject (right) for divergence and convergence. Horizontal target
position is shown in red.
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As the timing of stimulus onset was not predictable it is unlikely
that predictive components influenced our vergence ramp
responses (Kumar et al., 2002).
Recent clinical evidence for selective deficits of vergence track-
ing of a slowly moving target in depth but preserved fast vergence
responses (Rambold et al., 2004) suggested that both types of
vergence have distinctly different neural control and hence differ-
ent anatomical representations. Based on the evidence for pontine
projections to the cerebellum (introduction) we hypothesized that
vergence eye movements to either fast or slowly moving targets
or both may be impaired in cerebellar lesions.
Cerebellum and eye movementsWe specifically examined patients with focal and acute cerebellar
lesions. Unlike previous studies on smooth pursuit in spinocerebel-
lar ataxia or other cerebellar degenerations, lesions of cerebellar
stroke patients can be identified to be confined to the cerebellum.
We focussed our analysis on structures which are known to be
involved in vergence in animal studies and in the cerebellar control
of smooth pursuit eye movements (SPEM), i.e. vermis (Nitta et al.,
2008a), the underlying deep nuclei (Gamlin et al., 1996) and the
flocculus (Tsubuku et al., 2004).
Conjugate eye movements
There are two pathways conveying SPEM signals to the cerebel-
lum: one involves the posterior vermis (lobule VI and VII) and the
underlying deep cerebellar nuclei and the other the flocculus/
paraflocculus (Leigh and Zee, 2006). In our study–except for
three patients–the flocculus was usually not involved. Our cere-
bellar patients showed impaired SPEM, not only in the closed loop
but also in the open loop phase which is in accord with pre-
vious studies on cerebellar degeneration (Moschner et al., 1999)
or infarctions (Straube et al., 1997; Moschner et al., 1999).
Accordingly, latency was prolonged and the initial acceleration
was reduced in the step-ramp paradigm. Smooth pursuit gain
to sinusoidal stimulation was particularly reduced in our patients
with vermis lesions as has been shown elsewhere (Vahedi et al.,
1995). In a non-human animal study (Takagi et al., 2000), vermis
ablation with sparing of the deep cerebellar nuclei in monkeys
caused a decrease in SPEM gain, a decrease in peak acceleration
and a decrease in pursuit velocity, which is in accord with our
patients with vermis lesions. In contrast, vermis was spared in
cerebellar patients examined by Straube and coworkers who
found reduced smooth pursuit initiation using the step-ramp para-
digm (Straube et al., 1997).
Patients also had conjugate saccadic dysmetria with decreased
saccadic gain. As it is well known that experimental and clinical
lesions of the deep cerebellar nuclei cause saccadic hypermetria
(Selhorst et al., 1976; Robinson et al., 1993) the saccadic hypo-
metria in our patients is consistent with vermis impairment (Takagi
et al., 1998). In contrast, saccadic dysmetria is not found in floc-
culus lesions (Rambold et al., 2002a). Therefore both SPEM
and saccade deficits are compatible with lesions of the posterior
vermis.
Vergence
Vergence to slowly moving targets
Vergence to slowly moving targets was impaired in our cerebellar
patients. Gain of slow vergence to sinusoidal moving targets
and slow vergence velocity in the ramp paradigm was significantly
reduced in patients. Therefore our data provide some evidence for
an important role of the cerebellum in the processing of slow
vergence eye movements in humans. This is in accord with pre-
vious animal (Donaldson and Hawthorne, 1979; Gamlin et al.,
1996; Zhang and Gamlin, 1998; Takagi et al., 2003; Nitta et al.,
2008a), human PET (Richter et al., 2000, 2004) and human
lesion studies (Ohtsuka et al., 1993). A functional imaging study
in humans showed activation of the cerebellar hemispheres and
the vermis during the near response and disparity vergence
(Gulyas and Roland, 1994). The slow vergence deficits of our
patients are probably not caused by an impairment of the pursuit
system in 3D space since there was no correlation between both
slow vergence and conjugate smooth pursuit responses.
Interestingly, divergence but not convergence eye movement
responses to ramp targets were impaired. This is in line with an
animal study which showed reduced divergence acceleration,
divergence velocity and delayed divergence responses after
ablation of the dorsal vermis with sparing of the deep cerebellar
nuclei (Takagi et al., 2003). In contrast, in a more recent animal
study convergence (ramp velocity 10�/s) were impaired after cir-
cumscribed vermis inactivation (muscimol) of regions containing
Fig. 5 Horizontal sinusoidal smooth pursuit gain (A), initial
acceleration (B) and latency (C) in step-ramp pursuit and
horizontal saccade gain (D) are shown for controls (black) and
patients (grey); significant differences are indicated by asterisks.
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largely convergence-modulated neurons: a reduction of conver-
gence eye velocity by 20% in the ramp paradigm (Nitta et al.,
2008a). Divergence was less affected (Nitta et al., 2008b). Several
reasons might account for the differential lesion effects on diver-
gence and convergence ramp responses. First, while ablation
affects both cell soma and fibres of passage, muscimol inactivates
neurons only. Secondly, stimulus velocities were different in both
studies. While Takagi and colleagues stimulated small vergence
step targets of 0.5� and 1� (Takagi et al., 2003), Nitta and
colleagues used step targets of 10� amplitude and ramp target
velocities of 10�/s (Nitta et al., 2008a). Finally, convergence-
and divergence-related neurons are anatomically separated
in the cerebellum, not only in the fastigial oculomotor region
(FOR) and posterior interposed nucleus (IP) (Mays et al., 1986;
Gamlin et al., 1996, 2002; Zhang and Gamlin, 1998; Nitta et al.,
2008a) but also in the posterior vermis (Nitta et al., 2008a). Our
selective divergence impairment in the ramp paradigm indicates
separate organization of both, convergence and divergence eye
movements. Divergence-related neurons in the IP (Zhang and
Gamlin, 1998) receive projections from the ventral paraflocculus
(Nagao et al., 1997) and vermis (Leigh and Zee, 2006). Since the
paraflocculus contains divergence-related cells (Tsubuku et al.,
2004) the parafloccular-IP pathway has been suspected to be
involved in the control of divergence eye movements while
the dorsal vermis/FOR pathway may be rather related to conver-
gence (Nitta et al., 2008a). As divergence-related cells were found
sparsely in the vermis when compared to convergence-related
neurons (Nitta et al., 2008a), divergence-related control mechan-
isms may be more susceptible to vermis lesions and may show a
greater vulnerability while convergence may be better compen-
sated in cerebellar lesions. Although these arguments may explain
the divergence deficit they do not account for the additional con-
vergence impairment during sinusoidal vergence.
Esodeviation was found after vermis ablation (Takagi et al.,
2003) but not with vermis inactivation (Nitta et al., 2008a).
Esodeviation was also found in patients with cerebellar degenera-
tion reflecting an increase in convergence tone (Versino et al.,
1996). This might be related to sparing of the fastigial oculomotor
Fig. 6 Vergence to slow vergence stimuli. Gain of sinusoidal vergence velocity is displayed in A for controls (black), patients with
vermis lesions (grey) and patients without vermis lesions (white). Slow vergence mean velocity (B) and latency (C) of the ramp
paradigm are shown for convergence and divergence separately; significant differences are indicated by asterisks.
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region (FOR) since inactivation of these deep cerebellar nuclei also
cause convergence deficits with exodeviation (Scheurer et al.,
2001). Binocular static misalignment was neither reported in
vermis inactivation (Nitta et al., 2008a) nor found in our study.
Vergence to fast moving targets
Step tasks elicit fast vergence eye movements which are coded
by the fast vergence system, in contrast to slow vergence eye
movements which underlie visual feedback. Fast vergence
responses to step targets were unaffected in our patients. This
contradicts animal data with impairment of convergence step
responses after vermis inactivation (Nitta et al., 2008a). After
cerebellar lesions the monkeys showed much slower convergence
velocities (15–20�/s) than prior inactivation (48–87�/s) and had
a prolonged latency of convergence in the vergence step task.
However, divergence responses could not be analysed due to
concomitant saccades. Interestingly, while vermis lesions elicit
impairment of both conjugate eye movement systems, smooth
pursuit and saccades, fast vergence seemed to remain unaffected
in our patients. This is some additional evidence that fast and
slow vergence are under separate neural control. It remains to
be investigated in future studies whether the normal fast vergence
responses in our patients are related to (i) extracerebellar control
mechanisms of fast vergence, (ii) the fact that we missed critical
cerebellar lesion sites in our patient study group, or (iii) more
rapidly adaptive recovery mechanisms in fast vergence.
Eye movements in patients withvermis lesionsBased on animal data we pursued the hypothesis that the cere-
bellar vermis is involved in the processing of vergence eye move-
ments. Fortunately, a large number of our patients showed vermis
involvement which allowed statistical comparison with patients
with vermis sparing cerebellar lesions. This is of interest since sig-
nificant vergence tracking impairment to slowly moving targets
was particularly found in our patients with lesions involving the
vermis. It supports the concept of a crucial role of the cerebellar
vermis in controlling slow vergence eye movements in humans
as assumed by recent animal data (Donaldson and Hawthorne,
1979; Takagi et al., 2003) and imaging studies (Richter et al.,
2000, 2004; Nitta et al., 2008a). While animal lesion studies
of the cerebellum up to now only investigated vergence eye
movements in vermis lesions (Takagi et al., 2003; Nitta et al.,
2008a) our patients’ lesions were larger and not confined to
the vermis. Accordingly, we cannot infer from our data how far
only vermis lesions or other defined cerebellar structures cause
slow vergence deficits. At least two results argue against the
deep cerebellar nuclei to cause the vergence deficits. First, patients
with vermis sparing lesions of the deep cerebellar nuclei did
not show any significant difference in slow vergence compared
to healthy controls. Second, there was no saccadic hypermetria
which is usually found in lesions of the fastigial oculomotor
region (Robinson et al., 1993). Therefore, the deep cerebellar
nuclei alone can probably not account for the slow vergence
deficit in our patients.
In conclusion, this is the first study on a comparative investiga-
tion of fast and slow dynamic vergence in patients with cerebellar
lesions. Our a priori hypothesis of a critical cerebellar role in
vergence was derived from animal lesion and single unit recording
data as well as anatomical ponto-cerebellar projections of ver-
gence modulated neurons. Our patient data implicate the cerebel-
lum, noticeably the vermis, in the control of slow but not fast
vergence. We cannot exclude that lesions of other cerebellar
structures not involved in our patients might evoke fast vergence
deficits. However, we provide additional evidence for a separate
neural control of fast and slow vergence, not only in the pons
(Rambold et al., 2004, 2005b) but also in the cerebellum.
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