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1Department of Neurobiology, Washington University School of Medicine, St. Louis, Missouri; and 2Department of Neurology, Zurich University Hospital, Zurich, Switzerland
Submitted 8 July 2004; accepted in final form 14 February 2005
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ABSTRACT |
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INTRODUCTION |
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; Blohm et al. 2003; Blouin et al. 1998; Hallett and Lightstone 1976; Herter and Guitton 1998; Israel and Berthoz 1989; Mays and Sparks 1983; McKenzie and Lisberger 1986; Medendorp et al. 2002; Ohtsuka 1994; Pelisson et al. 1989; Schlag et al. 1990; Zivotofsky et al. 1996). Hallett and Lightstone (1976) were the first to demonstrate this updating ability for horizontal and vertical displacements of the eyes, whereas more recently, Medendorp et al. (2002) extended this view by demonstrating that updating also accounts for head perturbations in the torsional dimension. Note that by using the term updating we do not necessarily imply that the visual targets are stored in any one particular map or coordinate frame (e.g., eye or space). Rather, we mean that new information about the intervening movement is appropriately taken into account to keep track of the body's orientation in space.
To update accurately, the brain requires either information regarding the amplitude and direction of the intervening movement or some exteroceptive sensory information (e.g., vision, gravity, etc.) to determine body orientation at various points in time (i.e., before and after a movement). In the case of active head movements used by Medendorp et al. (2002), such information can be provided either by motor signals (in the form of efference copies of the outgoing motor command before the movement is executed) or by sensory signals that arise during and after the movement. These sensory signals include proprioceptive means (directly from the joints and muscles) and vestibular signals (from the canals and otolith organs). In addition, both body proprioceptors (Mittelstaedt 1992) and the otolith organs (Fernandez et al. 1972) are stimulated as the body changes its orientation relative to gravity, so gravitational cues may also represent an important cue for updating. Thus as subjects actively moved their heads (relative to their bodies) from one location to the next, signals from all these sources (i.e., efference copies of the motor command that moved the head, proprioceptive signals from the stretched neck muscles, and vestibular signals during the head rotation) could have been responsible for the rotational updating reported by Medendorp et al. (2002).
To determine whether vestibular signals alone can account for updating in 3 dimensions and whether accurate updating still holds during passive as opposed to active head movements, we used a memory-saccade experiment in which efference copy signals were eliminated. We found that subjects could update the remembered locations of space-fixed targets with sensory signals alone, in the absence of efference copy cues. We then conducted the same experiment with subjects lying on their backs, but still rotated about a nasooccipital axis. Without changing their body position relative to gravity, their ability to update was greatly diminished. These results have been presented in abstract form (Klier et al. 2004).
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METHODS |
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Eight subjects (4 male and 4 female) ranging in age from 27 to 39 yr old were recruited to participate in the experiment. All but one (EK) were completely naïve to the purpose of the experiment and none had any known neuromuscular or neurological damage. All subjects gave informed consent to the experimental protocol that was approved by the Ethics Committee of the Canton of Zurich, Switzerland.
Measuring 3-dimensional eye position
Three-dimensional (3D) eye positions were measured using the magnetic search coil technique and 3D Skalar search coils (Skalar Instruments, Delft, The Netherlands). The magnetic field system consisted of 3 mutually orthogonal magnetic fields, generated by a cubic frame with side lengths of 0.5 m, operating at frequencies of 80, 96, and 120 Hz. The 3D eye position was calibrated by using a new algorithm that simultaneously determined the orientation of the coil on the eye and offset voltages based on 9 target fixations in close-to-primary and secondary gaze positions (see APPENDIX).
Experimental protocol
Subjects sat on a chair that was mounted on a 3D turntable (ACUTRONIC Switzerland, CH-8608 Bubikon, Switzerland) capable of rotating the subjects about the roll axis. Their bodies were fixed to the chair by 3 restraining methods. First, aviation safety belts secured the upper and lower torso to the chair. Second, evacuation pillows filled the empty spaces under the arms and around the neck. Finally, a malleable thermoplastic mask was molded to each subject's face and fasted to the chair behind the subject's head. This mask kept the subject's head fixed relative to the rest of the body so that movement of the chair caused the head and body to move as one unit (i.e., the head was on the rotation axis). Visual targets were produced by a computer-controlled laser and projected onto a spherical projection screen (ACUTRONIC Switzerland) located 1.45 m in front of the subject (the screen provided a visual angle of 100°).
A timeline of the torsional updating paradigm is illustrated in Fig. 1. In complete darkness, the subjects were rotated in the roll plane (i.e., torsionally) about a space-fixed, nasooccipital axis (i.e., either left ear down or right ear down) to one of 7 possible tilt angles (0, ±30, ±45, ±90°). Positive tilt angles cause the left ear to move down (i.e., counterclockwise tilt), whereas negative tilt angles cause the right ear to move down (i.e., clockwise tilt). In the 0° tilt condition the subject remained upright and thus it served as a control. The chair moved with a constant acceleration/deceleration phase of 180°/s2 so that a strong vestibular signal could be provided throughout the movement. In this rotated position, a central target appeared on which the subjects had to fixate. At 2 s after the onset of the central target, a peripheral target briefly flashed for 100 ms. This peripheral target could appear in any one of 8 directions (4 cardinal and 4 oblique), and at any one of 2 target eccentricities (10 and 20°). Subjects had to ignore the flashed target, but remember its location in space. Subjects were then rotated back to an upright position while continuing to fixate the central target. At 1.5 s after the flash, the central target was extinguished, which cued the subjects to make a saccade to the remembered location of the peripheral target. The subjects were instructed to be as accurate as possible and to make only one eye movement to reach the final target (subjects were clearly able to follow these instructions because the number of trials with second saccades accounted for only 7% of all trials). The peripheral target did not reappear and thus subjects had no feedback about their performance and were not trained in the task. Finally, a tone instructed the subjects to end their fixation and relax before the next trial.
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Four out of the 8 original subjects were then retested on the same experiment, except now they were rotated in a supine position. Because of acceleration limits in the axis necessary to produce torsional rotations from a supine position, the experiment could be run with only a constant acceleration/deceleration phase of 90°/s2. Thus for a fair comparison of the data, 3 out of these 4 subjects were subsequently retested in the upright condition with similar constant acceleration/deceleration phase of 90°/s2 (the fourth subject was no longer available).
Data analysis
Raw data from each subject's right eye, sampled at 833 Hz, was first converted into rotation vectors, which indicate the horizontal, vertical, and torsional positions of the eye. These positions were subsequently transformed into eye velocity by taking the derivative of eye position (dE/dt = where E is the 3D eye position). Finally, angular eye velocity (
) was computed from the previous 2 values by the equation = 2[(dE/dt + E x dE/dt)/(1 + |E|2)] (where "x" designs the cross-vector product). All saccade trajectories to the remembered target locations were automatically selected using the following criteria. The start of a saccade was selected when the square root of the sum of squares of the horizontal, vertical, and torsional angular velocities exceeded 10°/s. The end of a saccade occurred when the same value decreased below 10°/s. These data, along with the actual locations of the targets in space, allowed us to plot saccade trajectories and endpoints, compute polar and Cartesian errors, and conduct statistical analyses (t-test, ANOVAs, and Tukey post hoc analyses) on our data.
Finally, a 3D analysis, measuring how well Listing's law was obeyed by the memory saccade endpoints, was made by first fitting the memory saccade endpoints with a 3D plane using the equation ET = a + bEV + cEH (where ET, EV, and EH are the torsional, vertical, and horizontal components of final eye position). The torsional SD (TSD) of the plane (i.e., a measure of the plane's thickness) was then computed by the formula
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RESULTS |
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Saccade trajectories for one subject, toward the 20° targets, are shown in Fig. 2. Saccades to horizontal/vertical targets are shown in gray, whereas saccades to oblique targets are shown in black. As previously demonstrated, the former are straighter, whereas the latter are often more curved (King et al. 1986; Smit and Van Gisbergen 1990; Smit et al. 1990). What is important to note, however, is that from all 7 tilt angles, the saccades seem to be directed rather accurately toward their desired goal. If the subjects were not able to compensate for the intervening movement, then one would expect to see a pattern in which the saccade trajectories are biased in a counterclockwise direction for positive tilt angles and in a clockwise direction for negative angles. Specifically, if subjects were completely unable to update target locations, then, for example, a target flashed directly upward (in space) when a subject is tilted 90° clockwise would be 90° counterclockwise relative to the subject at the time of presentation, and would remain 90° counterclockwise even after the subject was rotated back to an upright position. Also, this bias should be more pronounced as the size of the tilt angle increases. As will be presented quantitatively below, this was generally not the case.
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; Wipfli et al. 2001). The average latencies (±SD) for saccades made from the 6 nonzero tilt angles were 0.29 ± 0.04 s for the 10° targets and 0.29 ± 0.03 s for the 20° targets. An ANOVA indicates that the latencies from all 8 tilt angles were statistically different from one another [F(6,97) = 3.508, P = 0.003], however, a post hoc Tukey test indicates that none of the differences is found between any of the tilt angles (i.e., ±30, ±45, ±90°) and the upright (i.e., 0°) condition (Tukey HSD, P > 0.5; the only significant differences found were between the 30 and ±90° tilt angles). A similar ANOVA shows that eccentricity was not a significant factor in the latency of saccades [F(1,97) = 0.119, P = 0.731].
Data representing final trajectory endpoints from all 8 subjects are shown in Fig. 3 for the 20° endpoints. Here, the actual target locations are identified by black x's, the average endpoint for each subject is shown by the gray or black filled circles (gray for horizontal/vertical endpoints and black for oblique endpoints), and the average endpoint across all subjects is shown by the hollow black/gray circles. Again, as with the trajectories in the previous figure, the endpoints to all 8 possible targets remain in distinct clusters and never overlap with neighboring endpoints. For the various tilt angles, the saccade endpoints to the 10° targets (not shown) seemed to be more tightly clustered than those to the 20° targets. Again, this type of amplitude-dependent precision has been previously shown (Becker 1972). Across both target eccentricities, some subjects appeared to be undershooting, whereas others seemed to be overshooting the targets, although qualitatively there is no overall observable pattern. Across subjects there also does not seem to be an overall trend for positions to be shifted in a positive or negative horizontal direction. Saccade endpoints from the 0° tilt angles appear to be most closely clustered around the real location of the targets in space. This is also generally true for the 30 and 45° tilt angles. The only tilt angles to display an inkling of the pattern of errors expected if updating were less than optimum are the 90° tilt angles. Here, the final endpoints seem to be deviated in a clockwise direction for –90° tilt angles and skewed in a counterclockwise direction of 90° tilt angles (this is true for both 10 and 20° endpoints). To determine the accuracy of updating, we performed the following quantitative analyses.
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We first quantified endpoint errors in polar coordinates (Fig. 4A). The 2 measurements we obtained were amplitude errors (
a) and directional errors (
). Amplitude errors indicate whether subjects were either undershooting (negative-amplitude errors) or overshooting (positive-amplitude errors) the targets. Directional errors indicate the direction of subjects' endpoint errors relative to the direction of the actual target in space. Positive directional errors indicate that the subject's endpoint was displaced counterclockwise of the real target (e.g., directional error = direction of subject's endpoint – direction of real target location = 55° – 45° = 10°), whereas negative directional errors indicate a clockwise error (e.g., directional error = direction of subject's endpoint – direction of real target location = 35° – 45° = –10°). Thus this measure is the critical test for determining whether updating had occurred.
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). In addition, we performed a multifactor ANOVA to determine the effects of target amplitude, target direction, and tilt angle on these amplitude errors. All 3 variables had a significant effect on these errors, most interestingly tilt angle [F(6,1504) = 7.5, P = 0.000]. A Tukey post hoc analysis revealed that amplitude errors made from 0, ±30, and +45° tilts were different from amplitude errors made from –45 and ±90° tilts.
Figure 5 plots directional errors as a function of tilt angle for all 8 subjects. Errors to the 10° targets are indicated by the black circles, whereas errors to the 20° targets are shown by the white circles. Best-fit lines to the 10 and 20° data are also shown by the dotted and dashed–dotted lines, respectively. These graphs indicate the extent to which updating occurs by the following rationale: if subjects perfectly updated the locations of the flashed targets, then one would expect no errors from all tilt angles (i.e., a slope of 0). In contrast, if subjects were completely unable to update the target locations, then, for example, a subject tilted 90° clockwise would consistently mislocalize flashed targets in space in a 90° counterclockwise direction (positive directional errors). Thus no updating would predict a slope of 1 (dashed line). Finally, it is known that when a subject's head-fixed body is rotated in the roll plane, the eyes counterroll in their orbits by approximately 10% of the roll amplitude (Crawford and Vilis 1991; Haslewanter et al. 1992; Klier and Crawford 1998). Thus a slope of 0.9 (solid line) would be expected if the subjects were updating the location of the target relative to the eyes (as opposed to the location of the target relative to the head).
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), also holds for passive movements. Incidentally, note that conducting a statistical analysis similar to the t-tests conducted by Medendorp et al. (2002) also reveals that our slopes were significantly different from 0 (a repeated-measures t-test in which a column of computed slopes is compared with a column of zeros, P = 0.009 for the 20° amplitude targets), whereas the Medendorp (2002) subjects' slopes were not statistically significantly different from 0. This is also revealed by showing that our subjects' slopes were statistically significantly higher than the slopes in the Medendorp (2002) study (t-test on 20° target eccentricities, P = 0.01).
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Finally, we examined whether the torsional eye position at the time of target presentation was correlated with the observed directional errors. If such a correlation exists, this would imply that a visual mislocalization arising from ocular counterroll when the target was initially presented was partly the cause of the observed errors. For individual subjects, plots of directional error versus torsional eye position across trials produced slopes that covered a large range from –0.07 to –1.80, and across the population average slopes were –0.67 (r2 = 0.03) for 10° targets and –0.55 (r2 = 0.04) for 20° targets. These large ranges and extremely low correlations imply that no such relationship existed. However, when we then compared subjects' individual directional error slopes in Fig. 5 to their average torsional eye position at the time of the flash, a pattern emerged. The larger the ocular torsion was when the target was presented, the larger the directional error slopes were in Fig. 5 [10° targets, slope = –10.93 (r2 = 0.78); 20° targets, slope = –6.22 (r2 = 0.42)].
Cartesian coordinate errors
Final endpoint errors were also analyzed in Cartesian coordinates. This type of analysis complements the previous one by indicating whether subjects consistently missed the targets to the right (positive x errors) or left (negative x errors) of the targets, or whether they consistently landed above (positive y errors) or below (negative y errors) the targets. Average x Cartesian errors (±SD), across all 7 tilt angles and 8 target directions, were 0.11 ± 0.20 and –0.42 ± 0.28°, whereas average y errors were 0.62 ± 0.17 and 0.59 ± 0.54°, for the 10 and 20° eccentricities, respectively. In contrast to the polar coordinate amplitude errors, these errors were generally smaller and centered around zero.
Endpoint torsion
The analyses regarding the accuracy of the endpoints have focused on the horizontal and vertical components. However, because head-fixed saccades are known to obey Listing's law (Ferman et al. 1987; Tweed and Vilis 1990; Helmholtz 1925), whereas eye movements associated with the vestibuloocular reflex are known to be driven out of Listing's plane during roll head movements (Crawford and Vilis 1991; Misslisch and Hess 2000; Misslisch et al. 1994), we also analyzed the torsional component of the memory endpoints to determine whether they obeyed Listing's law. Because each of the subject's was run twice, we had a total of 16 pairs of calibration–memory endpoint pairs. The average TSD (±SD) for the calibration planes was 1.7 ± 1.3, whereas the TSD for the memory planes was 1.3 ± 0.8. These values were not significantly different (t-test, P = 0.473). In addition, the average (±SD) torsional offset of the calibration planes, –1.0 ± 1.2, was not significantly different from the average (±SD) torsional offset of the memory endpoints, –0.3 ± 1.4 (t-test, P = 0.1). Together, both these analyses imply that the memory endpoints landed in a 3D surface that was identical to the surface describing Listing's plane (i.e., there was no accumulated torsion at the end of the updated memory saccades).
Supine directional errors
If efference copies of the motor command are not required for updating, as the previous analyses indicate, then which of the remaining sensory commands provide the necessary cues? To answer this question we had several of the subjects repeat the passive torsional updating task in a supine position where their bodies no longer rotated relative to gravity. Supine polar coordinate directional errors were computed similarly to the upright errors (directional error = direction of subject's endpoint – direction of real target location). Plots of directional error as a function of tilt angle are plotted in Fig. 6 for the 4 subjects who were retested, along with best fit slopes for the 10 and 20° amplitudes (red lines) and slopes of 1 and 0.9 (black lines). Note that errors were generally larger in the supine condition, sometimes exceeding 180°. [We do not convert these large angles to their complementary angles (i.e., 360 – x) because the sign indicates the direction in which the targets were mislocalized; positive/negative errors indicate counterclockwise/clockwise mislocalizations, respectively.] The average slopes (±SD) were 0.69 ± 0.05 for the 10° amplitudes and 0.71 ± 0.10 for the 20° amplitudes (red lines). As in the upright condition, these slopes were significantly different from slopes of 0, 0.9, and 1, although they were also different from the subjects' slopes in the upright condition (t-test, P = 0.000 for both 10 and 20° amplitudes). This indicates that the subjects' ability to update was significantly reduced. Average saccade latencies in the supine position for all 7 tilt angles was 0.29 ± 0.07 s for the 10° eccentricities and 0.28 ± 0.07 s for the 20° eccentricities. These latencies were not different from those in the upright condition (t-test, P = 0.85 for 10° amplitudes and P = 0.81 for 20° amplitudes).
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Finally, because the subjects could be rotated only at a constant acceleration/deceleration phase of 90°/s2 in the supine position, we repeated the upright experiment with this new acceleration/deceleration profile. This was conducted on the 3 available subjects and their slopes are also plotted in Fig. 6 (blue lines). As expected, accurate updating was obtained with average slopes (±SD) of 0.08 ± 0.05 for the 10° amplitudes and 0.07 ± 0.08 for the 20° amplitudes. These slopes were not different from the upright slopes at the higher acceleration rate (t-test, P = 0.12 for the 10° amplitudes and P = 0.62 for the 20° amplitudes). Thus the ability to update correctly was maintained in the upright condition, even with this slower acceleration.
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DISCUSSION |
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) and body proprioceptors (Mittelstaedt 1992; Yates et al. 2000).
The fact that vestibular information can be stored and used by the oculomotor system to reproduce a body displacement with a saccadic eye movement has been suggested by a number of studies. The classical paradigm typically used in these studies has been the "vestibular memory-contingent" saccade task, where subjects match the amplitude of a proceeding horizontal or vertical angular head displacement conducted in the dark with voluntary ocular saccades of equal but opposite cumulative angular displacement (Bloomberg et al. 1988, 1991; Israel et al. 1993). The accuracy of these saccades was preserved in patients with lesions of the posterior parietal cortex (PPC) (Berthoz 1997; Israel et al. 1995). In contrast, patients with supplementary eye field (SEF) lesions had no abnormalities of retinotopic saccades, although vestibular memory saccades were affected (Israel et al. 1995; Pierrot-Deseilligny et al. 1991, 1993).
Despite a clear contribution of vestibular signals to memory-contingent saccades, their role in visuospatial updating has been more controversial. The difference between the 2 tasks is that only with visuospatial updating in a memory-saccade paradigm do the vestibular signals interact with the retinotopic goal for a saccade. When subjects have performed such tasks with yaw rotation, Israel et al. (1999) reported improvement in updating accuracy after a few trials of performing the task in the presence of visual feedback. Similarly, in monkeys trained to perform either retinotopic or nonretinotopic saccades after an intervening horizontal rotation of the head and body, Baker et al. (2003) demonstrated clear updating, although with greater variability than double-step or retinotopic memory saccades. However, note that here too the memorized target reappeared at the end of each trial and the animals were highly trained. In contrast, when subjects underwent yaw rotations in the absence of visual feedback, little or no updating was reported (Blouin et al. 1998). In the present torsional updating experiments, we provided no visual feedback while rotating the subjects both from upright and supine positions and found minimal errors in the former condition (i.e., with gravity cues) and larger errors in the latter condition (i.e., without gravity cues). Therefore we suggest that these gravitational signals play a critical role in head-on-body and whole-body updating. In their absence, subjects must either be overtrained or provided with visual feedback to properly localize the remembered targets in a world-fixed reference frame. Because world-fixed targets could be localized in the upright but not supine orientations, we speculate that gravity cues maybe important for defining an allocentric reference frame.
Although our subjects were able to update quite well to 20° eccentric targets while passively rotated to upright positions, they did not perform as well as those in the related Medendorp (2002) study in which subjects actively rotated their heads. The difference can be attributed to several factors including the amplitude of head rotation. In the latter study, subjects never had to take into account head rotations that exceeded 45°, whereas in the present study, the largest errors were seen with the larger body rotations. In addition, directional errors were correlated with initial torsional eye position when the target was flashed and this mislocalization error was greater with the larger torsional eye positions from our larger tilt angles. Also, the additional signals provided by an active paradigm (i.e., efference copies and neck proprioception) may be responsible for the smaller errors observed. So although efference copies are not essential for updating, they may still be used when present.
Three-dimensional aspects of updating
Medendorp et al. (2002) were the first to show that updating occurs in the torsional dimension (in addition to horizontal and vertical dimensions). Our study not only corroborates their finding, but suggests that vestibular/body proprioceptive signals represent a key source of this updating signal. If a 3D, rotational vestibular signal is used for updating, this would imply that the process by which updating occurs cannot geometrically be explained by simple vector subtraction (Duhamel et al. 1992; Goldberg and Bruce 1990; Quaia et al. 1998). For example, with such a model and targets represented in a retinotopic frame, a target initially seen 15° to the right would be remapped to a location 10° right if the eye made a 5° rightward movement (i.e., old target location – eye movement = new target location, or, 15° – 5° = 10°). However, if this arithmetic were to hold true for roll rotations about the torsional axis, then any uniform subtraction of torsion about the line of sight would result in final gaze positions with large systematic horizontal and vertical errors as well as large torsional components (e.g., extend a pointing arm straight out and rotate it about the index finger). Rather, in 3 dimensions, the remembered target location must be rotated about the axis of rotation during the intervening movement, but in the opposite direction.
Alternatively, this 3D mathematical rotation would be unnecessary if the target was not kept in its original retinotopic frame, but rather was placed in some gravity-related spatial frame of reference immediately after viewing. In this situation, the target's location could be derived after any rotation made relative to gravity as the target's location is in a space-fixed frame immutable by the subjects' movements and the gravity vector sensed by the otoliths and other proprioceptors is constantly available. In this case, the computational burden would shift from updating the target's location in a retinotopic, egocentric frame toward maintaining a space-fixed, allocentric frame based on graviceptive inputs. Our current results cannot support or refute either of these 2 models, but points to experiments exploiting gravitational cues as a possible means of differentiating between these reference frames for updating.
In a recent set of experiments, Sommer and Wurtz (2002, 2004a,b) provided evidence for a neural pathway from the superior colliculus (SC), by mediodorsal thalamus (MD), to the frontal eye fields (FEF). After inactivation of MD, the authors found deficits in a monkey's ability to perform a double-step saccade task, and thus they speculated that this pathway represents a neural substrate for the updating mechanism that uses corollary discharge signals, stemming from the SC, to update spatial information in the frontal cortex. Although there is no doubt that multiple extraretinal signals and probably multiple pathways implementing updating exist (including different sources for eye and head movements), there is a conceptual problem in embracing the notion that SC signals can represent the major source of appropriate extraretinal information. As has been demonstrated by several studies, the SC represents gaze (i.e., both eye and head)–related information in only 2 dimensions (Klier et al. 2001; Van Opstal et al. 1991). Thus the output of the SC does not provide the correct 3D information required to perform accurate updating for eccentric object locations. Even when considering shifts in gaze arising from saccadic eye movements, one could argue that corollary discharge signals must originate from motor centers downstream from the colliculus, areas where torsional signals are added on to motor commands (Klier et al. 2003).
In fact, there is ample evidence that the efference copy signals used for visuospatial updating arise mostly downstream of the SC and upstream from ocular motoneurons (Schiller and Sandell 1983; Sparks and Mays 1983; Sparks et al. 1987; Tanaka 2003). The best evidence supporting this point arises from electrical stimulation–induced perturbations in eye position before the execution of memory saccades. For example, appropriate visuospatial updating occurs for perturbations in eye position produced by electrical stimulation of most pontine sites that contain medium lead burst neurons (Sparks et al. 1987). In contrast, the saccadic system does not appropriately update for the eye movements elicited by stimulation of either the abducens or trochlear nerve (Schiller and Sandell 1983; Sparks and Mays 1983; Sparks et al. 1987).
Pathways for vestibular signals to sensorimotor cortex
When the concept of updating is generalized to include head and body movements, like those used in the present study, or those previously used by Medendorp et al. (2002), it is immediately obvious that the necessary extraretinal signals must originate from motion centers in the brain stem (and/or cerebellum). Under the assumption that spatial updating and the underlying rotational remapping of retinal signals occurs in the visuomotor cortex (Andersen et al. 1997; Duhamel et al. 1992; Goldberg and Bruce 1990), there exist at least 2 possible pathways by which vestibular signals can reach these sensorimotor areas. The first pathway involves vestibular projections through the ventrolateral thalamus to the so-called parieto-insular vestibular cortex (PIVC) (Grusser et al. 1990a,b), an area that is bidirectionally interconnected with the FEF (Guldin et al. 1992; Huerta et al. 1987). Because no interconnection was found between frontal oculomotor areas and any of the other vestibular cortical areas (Guldin et al. 1992), it has been suggested that PIVC provides the necessary vestibular signals for vestibular memory-contingent saccades (Berthoz 1997). However, the FEF–PIVC connection is weak in rhesus monkeys (Huerta et al. 1987). Second, there is no evidence that PIVC is connected to SEF, the cortical area that, based on lesions studies, has been implicated in the control of vestibular memory saccades (Israel et al. 1995; Pierrot-Deseilligny et al. 1991, 1993).
Alternatively, the vestibular signals needed for spatial updating could follow a similar route as other extraretinal signals, i.e., through projections to the paralamellar mediodorsal and intralaminar nuclei of the thalamus (ILN). In support of this notion, labeled terminals have been reported in the ILN after tracer injections into the vestibular nuclei (Asanuma et al. 1983; Kotchabhakdi et al. 1980a,b; Lang et al. 1979; Magnin and Kennedy 1979; Nakano et al. 1985; Warren et al. 2003), and retrograde transport after HRP injections into the ILN have labeled cells in the rostral medial, superior, and lateral vestibular nuclei (McGuinness and Krauthamer 1980; Royce et al. 1991; Russchen et al. 1987). In turn, the ILN has widespread projections to both the frontal and parietal cortexes, including FEF (Huerta et al. 1986; Jasper 1949; Kaufman and Rosenquist 1985; Orem and Schlag 1973; Scollo-Lavizzari and Akert 1963; Starzl and Magoun 1951), SEF (Huerta and Kaas 1990; Shook et al. 1990, 1991), and the PPC (Kaufman and Rosenquist 1985). In support of the hypothesis that the vestibular contributions to spatial updating follow a pathway through the ILN, patients with thalamic lesions localized in the internal medullary lamina are unable to perform vestibular memory-contingent saccades (Gaymard et al. 1994). This discussion highlights that both the neural mechanisms for this updating, as well as the origin and course of extraretinal signals to the sensorimotor centers in the cortex, remain unclear. It is important that future studies address both the neuroanatomical and computational aspects of these sensorimotor transformations and provide a functional understanding of ascending sensory and motor signals to the visuomotor cortical centers.
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APPENDIX |
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A common problem in search coil measurements is the difficulty of discriminating the output voltages that arise from the rotation of the search coil in the magnetic field from those DC voltages that are picked up by the leads, plugs, and other parts of the measuring chain (Hess et al. 1992). We developed a simple linear algorithm that separates the coil orientation–dependent output signals from the remaining DC signals, which we call collectively DC offset signals. This approach is an extension of the one described by Hess et al. (1992) and is applicable for 3-field magnetic fields without the need of coil precalibration before implantation.
In the following calculations we consider a dual search coil, consisting of a direction coil (
= [dx dy dz]T) and a torsion coil (
= [tx ty tz]T) in a certain geometric configuration (ideally but not necessarily orthogonal to each other). In the following we use the subscripts 1 to 3 to denote the 3 different outputs according to the x-, y-, and z-magnetic field. The superscript "T" stands for "transpose," meaning that a row vector becomes a column vector and vice versa. The output of the dual search coil in each of the 3 directions and torsion coil channels can be summarized as the vector sum of the orientation-dependent signals R
and R and unknown DC offset signals 
and 
 | (A1) |
 | (A2) |
) and the torsion coil () in the magnetic field. If the dual search coil is in reference position, R, expressed as a rotation matrix, is the unity matrix, R = I (diagonal elements = 1, off-diagonal elements = 0). If the orientation R of the dual search coil and the DC offset signals and are known, we can compute the sensitivity and the relative orientation of the direction and torsion coil from the 6 output signals 
and 
as follows (||·|| denotes the length of a vector, · denotes scalar product)
 | (A3) |
 | (A4) |
 | (A5) |
) through the angle , we obtain the following system of vector equations
 | (A6) |
 | (A7) |
 | (A8) |
and 
implicitly as functions of the unknown DC offset vectors and and the vector gradients du/ and d/d, which depend on the DC offset vectors and and the particular rotation R() as follows
 | (A9) |
 | (A10) |
We used a minimum of 5 symmetrically arranged fixations in horizontal and vertical directions around straight ahead to obtain good numerical estimates of the vector gradients d/d and d/d. For horizontal fixations (rotation angle 
) we estimated Eqs. A9 and A10 by taking the derivative from the sinusoidal least-squares fits of Eqs. A1 and A2 to the direction and torsion coil output
 | (A11) |
 | (A12) |
) we estimated Eqs. A9–A10 by taking the derivative from the analogous curves fitted to the direction and torsion coil output
 | (A13) |
 | (A14) |
/d and d/d at hand (obtained by taking the derivative of the fitted curves A11–A14) one can solve the system of linear Eqs. A6–A8 for the 2 DC offset vectors = [x1 x2 x3]T and = [y1 y2 y3]T using singular value decomposition. This approach, which was used in the present analyses, provides an accurate measurement of horizontal, vertical, and torsional eye positions after correction for offset voltages in a 3-field magnetic system. |
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GRANTS |
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ACKNOWLEDGMENTS |
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FOOTNOTES |
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Address for reprint requests and other correspondence: E. M. Klier, Department of Neurobiology, Box 8108, Washington University School of Medicine, 660 South Euclid Avenue, St. Louis, MO 63110 (E-mail: eliana{at}cabernet.wustl.edu)
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