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J Neurophysiol 91: 1913-1918, 2004. First published December 3, 2003; doi:10.1152/jn.01044.2003
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Does Head Rotation Contribute to Gaze Stability During Passive Translations?

Min Wei and Dora E. Angelaki

Department of Neurobiology, Washington University School of Medicine, St. Louis, Missouri 63110

Submitted 29 October 2003; accepted in final form 30 November 2003


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 ACKNOWLEDGMENTS
 REFERENCES
 
Active translations of human subjects are nearly perfectly compensated by a combined rotation of both the eyes and the head. Because vestibuloocular reflex (VOR) gain is less than perfect during passive translations with near targets in head-fixed subjects, there is a possibility that the compensatory head rotation observed during natural behavior represents a vestibularly driven head reflex [translational vestibulocollic reflex (TVCR)]. The TVCR could elicit a horizontal rotation of the head during lateral linear acceleration that contributes to gaze stabilization. To investigate this hypothesis, we examined whether a horizontal rotation of the head contributes to gaze stability during passive lateral translation in rhesus monkeys whose head was free to rotate in the horizontal plane. Motion frequency was varied between 0.5 and 5 Hz while animals fixated targets at distances of 12–102 cm. We did not find evidence supporting the existence of a TVCR. Specifically, during motion at frequencies between 0.5 and 2 Hz, horizontal head rotation was negligible. During 4- and 5-Hz oscillations, there was a clear and consistent horizontal rotation of the head, but responses were always anticompensatory to gaze stabilization; that is, the head rotated in the same direction as head translation and oppositely to the direction of gaze rotation. Furthermore, there was no difference in gaze stability between the head-free and head-fixed conditions. Thus we conclude that the compensatory head rotation observed in human studies of active gaze movements could represent a strategy and/or a motor command contribution to gaze stabilization, rather than a simple vestibularly driven reflex.


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 ACKNOWLEDGMENTS
 REFERENCES
 
The translational vestibuloocular reflex (TVOR) generates compensatory eye movements to keep binocular gaze stable on objects of interest (Miles 1993Go, 1998Go; Paige and Tomko 1991aGo,bGo; Schwarz and Miles 1991Go; Schwarz et al. 1989Go). Because a linear displacement of the head must be compensated by a rotation of gaze in space, to maintain focus on a point in space, TVOR amplitude scales inversely proportional to viewing distance (Angelaki and McHenry 1999Go; McHenry and Angelaki 2000Go; Paige and Tomko 1991bGo; Schwarz and Miles 1991Go; Schwarz et al. 1989Go; Telford et al. 1997Go). However, in both humans and monkeys, the dependency of the TVOR on viewing distance is less than ideal, such that TVOR responses are typically undercompensatory for near targets (Schwarz and Miles 1991Go; Telford et al. 1997Go).

Despite less-than-ideal TVOR gains during passive movements, studies with human subjects actively moving through their environment have reported nearly perfect image stabilization (i.e., retinal slip <4°/s; Crane and Demer 1997Go; Moore et al. 1999Go). In these studies, involving walking and running, translation of the head in one direction was always associated with a head rotation in the other direction (Bloomberg et al. 1992Go; Crane and Demer 1997Go; Demer and Viirre 1996Go; Hirasaki et al. 1999Go; Moore et al. 1999Go; Pozzo et al. 1990Go). This synergy was observed for both horizontal and vertical translations, which were coupled to yaw or pitch head rotations, respectively. Importantly, because the rotational vestibuloocular reflex (RVOR) gain (eye velocity divided by head rotational velocity) was often as low as 0.55 under these conditions, these compensatory head movements contributed to gaze stability. Interestingly, the ratio of head rotation to translation increased inversely proportional to target distance (Bloomberg et al. 1992Go; Moore et al. 1999Go), as would be expected from a functionally compensatory process.

In another recent human study involving actively generated translatory hip-and-head movements, gaze stabilization was partly achieved through an eye-in-head rotation and partly through a head-in-space horizontal rotation in the opposite direction to translation (Medendorp et al. 2002). Thus a head horizontal rotation appears to be a clear constituent of gaze stabilization in human subjects during actively generated lateral body movements. The origin of this compensatory head rotation remains unknown. There are at least two possible explanations for the observation that a head rotation contributes to gaze stability during active translations. First, it could represent an active strategy adopted by the subjects to circumvent a less-than-ideal TVOR performance. Alternatively, it could represent a vestibularly driven (vestibulocollic) reflex (TVCR) that causes the head to rotate in a direction opposite to translation (i.e., in a compensatory fashion; Hirasaki et al. 1999Go; Moore et al. 1999Go). In support of the latter hypothesis, Takahashi et al. (1990Go) reported that passive vertical translation induced compensatory pitch head movements whose amplitude increased with frequency in the range of 1–3 Hz. In addition, compensatory pitch head movements during locomotion were degraded in patients with bilateral vestibular deficits (Grossman and Leigh 1990Go; Pozzo et al. 1991Go) and after space flight (Bloomberg et al. 1997Go; Reschke et al. 1994Go).

The vestibulocollic reflex hypothesis—that is, the idea that a vestibularly driven horizontal rotation of the head opposite to the direction of translation contributes to gaze stability—is based on the conjecture that the RVOR is suppressed during the head rotation (as is the case for actively generated gaze shifts; Guitton and Volle 1987Go; Roy and Cullen 1998Go; Tabak et al. 1996Go; Tomlinson and Bahra 1986Go). In fact, the low RVOR gains during the oppositely directed translation associated with walking and running (Demer and Viirre 1996Go) would be consistent with such a hypothesis. During translation to the right, for example, gaze would be redirected to the left through a leftward rotation of both the eyes and the head (Fig. 1A). Of course, a head contribution to gaze stability would be appropriate only for reducing the conjugate component of the retinal slip. Thus a TVCR contribution should be most obvious during lateral and vertical translations, but not as large during fore–aft motion, when vergence eye movements dominate the response. Interestingly, only the conjugate eye movement component is consistently undercompensatory during passive translation in head-fixed animals; Vergence velocity gains are typically close to unity (Angelaki and Hess 2001Go; McHenry and Angelaki 2000Go).



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FIG. 1. A: schematic illustrating a combined rotation of both eyes and head to maintain fixation on a near target during translation. B: eye and head rotation responses during gaze pursuit (0.1 Hz, ±30°). Horizontal eye-in-space position (Epos) and head-in-space position (Hpos) are plotted for several cycles of gaze pursuit (Stm: visual target motion). C: during head rotation, there is an added "active" translation of the eyes that can be computed from the geometry for each of the left and right eyes (blue and red lines, respectively). In the illustrated schematic, R is the distance between the eyes and the axis of head rotation, {theta} is the head rotation amplitude, {beta} is the initial head position angle relative to the lateral motion axis, and d is half the interocular distance.

 
Whether the observed head rotation/translation synergy reported in human studies represents an active strategy or is linked through a compensatory process (e.g., through a vestibularly driven, head reflex) is not easily ascertained with actively generated movements. To distinguish between these 2 alternatives, passive lateral displacements have been used in the present study. The TVCR hypothesis would be consistent with the following predictions: 1) there should be a compensatory horizontal rotation of the head (where the head rotates in the opposite direction of translation; e.g., Fig. 1A), which 2) contributes more to gaze stabilization for near-target viewing. Thus we compared gaze stability during translation in head-fixed rhesus monkeys with the gaze movements evoked when the head was free to rotate in the horizontal plane. We found no evidence for either one of these predictions. Preliminary results of this work were previously presented in abstract form (Wei and Angelaki 2003Go).


    METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 ACKNOWLEDGMENTS
 REFERENCES
 
Experimental setup and protocols

Data presented here were obtained from 4 juvenile rhesus monkeys (Macacca mulatta). All animals were implanted with a lightweight delrin head ring and dual eye coils on each eye, as described in detail elsewhere (Angelaki 1998Go; Angelaki et al. 2000Go). Eye and head movements were recorded using a 3-magnetic field system (CNC Engineering). All animals were trained with juice rewards to fixate targets at different distances. All surgeries and experimental protocols were in accordance with institutional and National Institutes of Health guidelines.

During experiments, animals were seated in a primate chair with their head positioned such that the horizontal stereotaxic plane was earth-horizontal. Passive displacements were generated using a linear sled (Neurokinetics, Pittsburgh, PA). The linear acceleration stimuli consisted of 5-Hz sinusoidal oscillations (0.25 cm peak amplitude and 0.25 G peak acceleration). In 3 of the animals, lower-frequency translational motions were also delivered (4 Hz: ±0.4 cm, ±0.25 G; 2 Hz: ±1.6 cm, ±0.25 G; 1 Hz: ±5.0 cm, ±0.20 G; and 0.5 Hz: ±9.9 cm, ±0.10 G). These protocols were tested first with the head fixed, as well as under conditions where the head was free to rotate in the horizontal plane (but with all other degrees of freedom restrained). This was done by fixing the monkey's head ring to a 2.5-in. center-bore bearing that could be locked in place (head-fixed condition) or released to allow the head to freely rotate in the horizontal plane about a vertical axis that was centered on the interaural line (head-free condition). To measure the rotation of the head, a dual coil (Hess 1990Go) was mounted on the head ring, as close to the eye coils as possible. Both eye coils and the head coil were always kept within a radius of 3 cm from the center of the magnetic field coils and within the homogeneous part of the field (measured to have <5% error). We verified that animals with their heads partially restrained as described above could freely engage both the eyes and head to follow visual targets, as illustrated in Fig. 1B for horizontal gaze pursuit (0.1 Hz, ±30°).

The viewing distance dependency of the TVOR was tested by requiring the animals to fixate horizontal targets, along the midsagittal plane, at distances of 12, 18, 32, or 102 cm in a softly illuminated room. All target spots were created by back-projecting a laser that was controlled by a mirror galvanometer system (General Scanning) onto a screen placed at different viewing distances. Binocular eye-in-space positions were computed on-line to monitor fixation based on geometrical target position windows (Angelaki et al. 2000Go). During motion, periods of target presentation (1.5–2.5 s) were alternated with periods in total darkness (1–1.5 s). Stimulus presentation and data acquisition were controlled with custom-written scripts within the Spike2 software environment using the Cambridge Electronics Device (CED, model power 1401) data-acquisition system. Data were antialias filtered (200 Hz, 6-pole Bessel) and digitized by the CED at a rate of 833.33 Hz (16-bit resolution). Positive eye and head movement directions were leftward and downward.

Data analyses

Data analysis was performed off-line using custom-written scripts in Matlab (Mathworks, Natick, MA). Horizontal and vertical eye movements were calibrated using a daily fixation task, then differentiated using a polynomial filter (Savitsky and Golay 1964Go). Calibration of the dual head coil inside the 3-field magnetic system was according to the procedure described by Tweed et al. (1990Go). Briefly, each coil's sensitivity vector was computed from the direction cosines recorded from the demodulated signals, with those for straight-ahead corresponding to the zero head position. Fast phases were identified and removed based on time and amplitude windows set for the second derivative of the eye velocity vector amplitude. The identified fast phases were visually displayed on a plot of the eye position components to interactively correct potential misidentification. Sinusoidal modulations in eye and head velocity were quantified by fitting a sum-of-sinusoids (1st and 2nd harmonics) to the data using a nonlinear, least-squares algorithm based on the Levenberg–Marquardt method. A similar fitting procedure was also applied to the stimulus (output of a linear accelerometer mounted on the primate chair).

The magnitude of the compensatory gaze movement during translation, which we will refer to as the TVOR response, was computed by taking the ratio of peak eye velocity (in °/s) to peak linear head velocity (in cm/s) for each individual movement cycle. Thus the TVOR response has units of °/cm. Phase values have been expressed as eye velocity (positive to the left) relative to linear head velocity (positive direction is to the right). Based on this, the phase of the compensatory horizontal eye velocity during lateral motion should be approximately 0°. Head movement amplitude and phase were expressed similarly relative to peak linear head velocity. For each cycle, a vergence angle was also computed as the difference between right and left eye positions. A "vergence-defined viewing distance" was estimated on a cycle-by-cycle basis from the mean vergence angle and interocular distance and expressed as meter-angles in units of m–1 (Paige and Tomko 1991aGo). One meter-angle corresponds to a vergence state where the 2 gaze directions intersect 1 m away from the subject. Data were analyzed separately for motion in the presence of visual stimuli and in complete darkness. During motion in darkness, analyses focused on movement cycles during which the vergence angle deviated by <10% from that with the target on for a particular viewing distance. This was done because changes in TVOR gain precede changes in vergence by several tens of milliseconds (Snyder et al. 1992Go). Because the goal was to quantify the relationship between TVOR and vergence angle under steady-state conditions, cycles when vergence angle was varying (decaying) were excluded.

During translation with the head free, any active rotation of the head will further translate the eyes relative to the target. The amount of head rotation–induced right eye translation (in the same direction as the passive translation) can be calculated to be (Fig. 1C)

(1)
where R is the distance between the eye and the axis of head rotation, {theta} is the head rotation amplitude, {beta} is the initial head position angle relative to the lateral motion axis, and d is half the interocular distance. Equation 1 was used to compute the active translation of the right eye for each cycle of the sinusoidal displacement of the sled. As illustrated by Eq.1 and for the range of head movements observed here, the larger the head rotation, the larger the active translation of the eye with respect to the target that was stationary in space. Thus to compute the actual TVOR response (TVOR-corrected) relative to the total (passive and active) displacement of the eyes, we calculated the ratio of peak eye velocity (in °/s) to the total peak linear head velocity (in cm/s) for each individual movement cycle (the total peak linear velocity includes both the passive translational stimulus and the actively generated translation of the eye relative to the target).

Statistical comparisons were based on linear regression and ANCOVA.


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 ACKNOWLEDGMENTS
 REFERENCES
 
We measured horizontal eye and head rotation responses during passive lateral translation in 4 monkeys with their head fixed or free to rotate in the horizontal plane. Because targets had zero vertical elevation, a purely horizontal gaze rotation would be appropriate for gaze stabilization. Thus for head rotation to contribute to gaze stability, a compensatory horizontal rotation of the head should be evoked under these conditions. Examples of the eye-in-space and head-in-space responses from one of the animals are illustrated in Fig. 2. With the head fixed, only the eye contributed to gaze stabilization (Fig. 2A). When the head was free to move horizontally during 5-Hz translation, there was a simultaneous horizontal rotation of the head, although in the opposite direction to the rotation of the eyes (Fig. 2B). Thus as the head translated to the right and the eyes rotated to the left in compensatory fashion (positive Evel), the head rotated to the right (negative Head velocity). The head rotation was present during both motion with the target on as well as in darkness (Fig. 2B; Target On and Target Off).



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FIG. 2. Eye and head rotation responses elicited during 5-Hz lateral motion while a monkey fixated a central target. A: responses with the head fixed. B: responses with the head free to rotate in the horizontal plane. Horizontal eye-in-space position (Epos) and velocity (Evel) for the left (L) and right (R) eyes for viewing distances of 102 cm (Far Target, left) and 12 cm (Near Target, right). Horizontal rotation velocity of the head (Head) has been illustrated below the eye traces. Each trial started when the animal fixated the target (Target On) and continued with a period in darkness (Target Off). Head acceleration (Hacc) was measured using a linear accelerometer mounted on the animal's head holder. Gaps in eye movement traces represent fast phases that were eliminated using a semiautomated desaccading procedure.

 
Peak head velocity amplitudes are summarized for all animals in Fig. 3, A and B. The rotation amplitude was plotted either as a function of motion frequency at a single viewing distance (18 cm; Fig. 3A) or as a function of the vergence-defined inverse distance for 5-Hz translation (Fig. 3B). Head rotation was small for motion frequencies <2 Hz, but significantly larger for high frequencies [4 and 5 Hz; F(1,8468) = 1992, P < 0.001]. In general, peak amplitudes were rather idiosyncratic, with one animal having larger responses than the other three. The amplitudes of head rotation at 4 and 5 Hz were larger in complete darkness than when the target was on [F(1,6341) = 8.4, P = 0.003]. Although small, there was also a significant dependency on viewing distance, with the far targets being associated with larger head rotations than the near targets [F(1,6341) = 30, P < 0.001]. The phase of these head rotation responses at high frequencies was opposite to the phase of the TVOR (0°).



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FIG. 3. A and B: peak amplitude and phase of the horizontal rotation of the head (expressed relative to the passive translational stimulus) are plotted (A) as a function of frequency at a viewing distance of 18 cm or (B) as the inverse vergence-defined viewing distance during passive translation at 5 Hz. Notice that the head rotation at high frequencies is in the opposite direction (phase ~ 180°) from what would have been compensatory for gaze stabilization (0°). Data from each of 4 animals are shown with different symbols. Open symbols: Target On. Filled symbols: Target Off. Error bars in B (plotted only for filled symbols) illustrate SDs. C and D: scaling of the translational vestibuloocular reflex (TVOR) (defined as eye-in-space motion) as a function of inverse distance. C: data from one animal during lateral motion with the head fixed (black symbols) or free to rotate in the horizontal plane (gray symbols). Horizontal axis plots the inverse viewing distance, as defined by the vergence posture during each cycle of whole-body motion. Solid and dashed lines indicate the best linear fits to the data. D: TVOR regression lines during lateral translation with the head fixed (black solid lines) or free (gray dashed lines) are shown for all animals during motion while fixating a central target at different viewing distances. Dotted lines in C and D show the expected behavior if viewing distance scaling was ideal (slope of 0.57).

 
To investigate whether these head rotation components improved gaze stability, we also compared the TVOR (defined as eye-in-space) in the head-fixed and head-free conditions. The dependency of the TVOR on viewing distance under both head-fixed and head-free conditions during 5-Hz passive lateral motion are shown for data from one animal in Fig. 3C (black vs. gray symbols, respectively). The regression lines for all 4 animals are summarized in Fig. 3D (solid black lines: head-fixed condition; dashed gray lines: head-free condition). The TVOR during 5-Hz passive lateral translation with the head fixed or free to rotate in the horizontal plane are also summarized for data from all animals at the near (12 cm) and far (102 cm) viewing distances in Fig. 4A. In agreement with Fig. 3D, TVOR responses for near-target viewing tended to be larger in the head-free condition. The largest increase in TVOR was observed for the animal with the greatest head rotation contribution (compare Figs. 3A and 4A, open and solid squares). The larger TVOR for near-target viewing could be attributed to the fact that, because the head rotates about an axis that is behind the eyes, there is an active ocular translation that was not taken into account in Fig. 4A. To test this hypothesis, we recomputed the TVOR response (TVOR-corrected) relative to the total (passive and active) displacement of the eyes with respect to the space-fixed target (see METHODS). Mean values from all animals for 5-Hz motion are summarized for all viewing distances in Fig. 4B. The TVOR-corrected responses were similar to the TVOR with the head fixed [F(1,7784) = 0.93, P = 0.25], suggesting that, under the present experimental conditions, there was no improvement in TVOR amplitude when the head was free to rotate in the horizontal plane.



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FIG. 4. Comparison of the TVOR for head-fixed and head-free conditions. TVOR amplitude was computed as the horizontal component of gaze rotation relative to (A) the passive translation stimulus or (B) the total (passive and active) lateral displacement of the eyes relative to the target (see METHODS). Mean data from each of 4 animals are shown with different symbols and different viewing distances are shown with different colors. Error bars in A represent SDs. Open symbols: Target On. Filled symbols: Target Off. Data from the right eye. Dotted lines: Unity-slope line. Solid line in B: linear regression fitted through the data (y = 0.97x – 0.03, R2 = 0.94).

 

    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 ACKNOWLEDGMENTS
 REFERENCES
 
The goal of the present study was to investigate whether a horizontal rotation of the head could be a component of gaze stabilization during passive lateral translational movements. This hypothesis was motivated by the consistent demonstration of a compensatory head rotation during active translation in human subjects (Bloomberg et al. 1992Go; Crane and Demer 1997Go; Demer and Viirre 1996Go; Hirasaki et al. 1999Go; Medendorp et al. 2002; Moore et al. 1999Go; Pozzo et al. 1990Go). This observation, coupled with the presence of nearly perfect image stabilization with near-target viewing during natural activities, has raised the possibility that the compensatory head rotation represents a vestibularly driven head reflex (e.g., translational vestibulocollic reflex; Medendorp et al. 2002; Moore et al. 1999Go). As will be summarized below, although there exists substantial neurophysiological evidence to support such a hypothesis, we found no evidence for a compensatory head horizontal rotation under the present experimental conditions.

The main evidence in support of the TVCR hypothesis is the existence of an extensive and strong utriculospinal connectivity, in sharp contrast to sparse short-latency utriculoocular projections. For example, electrical stimulation of the utricular nerve evoked synaptic potentials in essentially all neck motoneurons (Bolton et al. 1992Go; Ikegami et al. 1994Go). In fact, several recent studies have concluded that most of the otolith-activated vestibular nuclei neurons seem to participate in vestibulospinal (rather than vestibuloocular) reflexes (Bolton et al. 1992Go; Ikegami et al. 1994Go; Kushiro et al. 2000Go; Sato et al. 1996Go, 1997Go; Uchino et al. 1997Go). These vestibulospinal otolith-activated neurons project not only to neck flexors and extensors, but also to other muscles like the sternocleidomastoid, whose main function is head rotation (Kushiro et al. 1999Go). Interestingly, unlike the reciprocal sacculospinal connectivity, utricular projections to extensor and flexor motoneurons of the same side are of the same polarity (Ikegami et al. 1994Go; Uchino et al. 1997Go). Thus whereas stimulation of one sacculus activates neck extensors bilaterally and inhibits neck flexors bilaterally (suggesting a clear role in antigravity posture), stimulation of one utricle causes excitation of both flexors and extensors on the ipsilateral side. In fact, this differential organization of utriculospinal and sacculospinal connectivity parallels a similar difference in the spinal projections between horizontal and vertical semicircular canals (Isu et al. 1988Go; Shinoda et al. 1994Go; Suguichi et al. 1995; Uchino et al. 1990Go, 1997Go; Wilson and Maeda 1974Go). Thus one could speculate that utriculo–neck pathways could be better suited for horizontal than vertical head movement control in response to linear accelerations in the horizontal plane. Nevertheless, the functional significance of these differences has yet to be explored. To our knowledge, the only otolith–neck reflex that has been investigated is a gravity-orientation reflex previously studied in the EMG activity of neck muscles in decerebrate, canal-plugged animals during roll rotations (Schor and Miller 1981Go; see also Wilson et al. 1995Go).

Given such an extensive, short-latency connectivity between the utricle and neck muscles, we had hypothesized (see also Hirasaki et al. 1999Go; Moore et al. 1999Go) that a specific otolith vestibulocolic reflex (referred to as translational vestibulocolic reflex, or TVCR) might exist. Such a postulated TVCR could function, in parallel to the otolith–ocular reflexes, to provide gaze stabilization during translation. Despite strong neurophysiological support for the TVCR hypothesis, we found no evidence for a compensatory horizontal TVCR under the present experimental conditions. In fact, the horizontal head velocity elicited during passive lateral translation was anticompensatory for gaze stabilization; that is, the head rotated in the same direction as the head translation and oppositely to the direction of gaze rotation. Coupled with the fact that this observation was limited to high frequencies, these head movements most likely represent inertial rather than vestibular reflex components. Moreover, the slight dependency of head rotation on viewing distance observed here was opposite to that reported during active translation in humans. Although the head was only partially unrestrained, because motion was restricted along the interaural axis and the targets had zero vertical elevation, if a compensatory TVCR existed, a purely horizontal head rotation should have been called for. Yet, we did not find such evidence in the present experiments. Thus the compensatory head rotation observed in active human studies might more likely represent an active strategy rather than a vestibularly driven reflex (Medendorp et al. 2002). Alternatively, it is possible that the gain of the TVCR might be low under the present experimental conditions, but higher in more natural situations, e.g., when the head is allowed to both rotate and translate in the horizontal plane or during active movements just as the vestibuloocular gain is modulated during active head movements (Guitton and Volle 1987Go; Roy and Cullen 1998Go; Tabak et al. 1996Go; Tomlinson and Bahra 1986Go).


    ACKNOWLEDGMENTS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 ACKNOWLEDGMENTS
 REFERENCES
 
GRANTS

The work was supported by National Eye Institute Grant EY-12814.


    FOOTNOTES
 
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Address for reprint requests and other correspondence: D. Angelaki, Department of Neurobiology, Washington University School of Medicine, 660 South Euclid Avenue, St. Louis, MO 63110 (E-mail: angelaki{at}pcg.wustl.edu).


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 DISCUSSION
 ACKNOWLEDGMENTS
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Eyes on Target: What Neurons Must do for the Vestibuloocular Reflex During Linear Motion
J Neurophysiol, July 1, 2004; 92(1): 20 - 35.
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