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J Neurophysiol 88: 1726-1742, 2002;
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The Journal of Neurophysiology Vol. 88 No. 4 October 2002, pp. 1726-1742
Copyright ©2002 by the American Physiological Society

In Multiple-Step Gaze Shifts: Omnipause (OPNs) and Collicular Fixation Neurons Encode Gaze Position Error; OPNs Gate Saccades

André Bergeron and Daniel Guitton

Department of Neurology and Neurosurgery, and Montreal Neurological Institute, McGill University, Montreal, Quebec H3A 2B4, Canada


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
CONCLUSIONS
REFERENCES

Bergeron, André and Daniel Guitton. In Multiple-Step Gaze Shifts: Omnipause (OPNs) and Collicular Fixation Neurons Encode Gaze Position Error; OPNs Gate Saccades. J. Neurophysiol. 88: 1726-1742, 2002. The superior colliculus (SC), via its projections to the pons, is a critical structure for driving rapid orienting movements of the visual axis, called gaze saccades, composed of coordinated eye-head movements. The SC contains a motor map that encodes small saccade vectors rostrally and large ones caudally. A zone in the rostral pole may have a different function. It contains superior colliculus fixation neurons (SCFNs) with probable projections to omnipause neurons (OPNs) of the pons. SCFNs and OPNs discharge tonically during visual fixation and pause during single-step gaze saccades. The OPN tonic discharge inhibits saccades and its cessation (pause) permits saccade generation. We have proposed that SCFNs control the OPN discharge. We compared the discharges of SCFNs and OPNs recorded while cats oriented horizontally, to the left and right, in the dark to a remembered target. Cats used multiple-step gaze shifts composed of a series of small gaze saccades, of variable amplitude and number, separated by periods of variable duration (plateaus) in which gaze was immobile or moving at low velocity (<25°/s). Just after contralaterally (ipsilaterally) presented targets, the firing frequency of SCFNs decreased to almost zero (remained constant at background). As multiple-step gaze shifts progressed in either direction in the dark, these activity levels prevailed until the distance between gaze and target [gaze position error (GPE)] reached ~16°. At this point, firing frequency gradually increased, without saccade-related pauses, until a maximum was reached when gaze arrived on target location (GPE = 0°). SCFN firing frequency encoded GPE; activity was not correlated to characteristics or occurrence of gaze saccades. By comparison, after target presentation to left or right, OPN activity remained steady at pretarget background until first gaze saccade onset, during which activity paused. During the first plateau, activity resumed at a level lower than background and continued at this level during subsequent plateaus until GPE ~8° was reached. As GPE decreased further, tonic activity during plateaus gradually increased until a maximum (greater than background) was reached when gaze was on goal (GPE = 0°). OPNs, like SCFNs, encoded GPE, but they paused during every gaze saccade, thereby revealing, unlike for SCFNs, strong coupling to motor events. The firing frequency increase in SCFNs as GPE decreased, irrespective of trajectory characteristics, implies these cells get feedback on GPE, which they may communicate to OPNs. We hypothesize that at the end of a gaze-step sequence, impulses from SCFNs onto OPNs may suppress further movements away from the target.


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
CONCLUSIONS
REFERENCES

Critical to normal perception is the ability to voluntarily fixate a target of interest for controlled periods of time without gaze being swept away by unwanted saccadic eye movements. This fundamental motor requirement is thought to be fulfilled at the brain stem reticular level by "omnipause" neurons (OPNs), which are located in the nucleus raphe interpositus and whose tonic activity during fixation inhibits the burst generator that drives saccades (reviewed by Moschovakis et al. 1996). In accordance with this gating function, OPNs in cat and monkey (head-fixed) pause for the duration of eye saccades (Cohen and Henn 1972; Everling et al. 1998; Evinger et al. 1982; Keller 1974, 1977; King and Fuchs 1977; Langer and Kaneko 1990; Luschei and Fuchs 1972). OPN gating function may extend to saccadic gaze shifts made with the head unrestrained because OPNs also pause for the duration of these movements (Paré and Guitton 1998; Sylvestre et al. 2001).

When saccades are made, descending signals appropriately gate OPN activity. Two candidate structures for this function are the frontal eye fields (FEF) and rostral superior colliculus (SC), both of which contain neurons with fixation-related discharges that are thought to project onto OPNs (SC: Büttner-Ennever et al. 1999; Gandhi and Keller 1997; Munoz and Guitton 1989, 1991; Munoz and Wurtz 1993a,b; Ohtsuka and Nagasaka 1999; Paré and Guitton 1994; FEF: reviewed in Hanes et al. 1998; Segraves 1992). In this paper we are concerned with the collicular projection.

It has been hypothesized that fixation neurons in the rostral SC (SCFNs) contribute to suppressing saccades via direct excitatory projection to both OPNs and collicular interneurons that inhibit the SC's motor map (Munoz and Guitton 1989, 1991; Munoz and Istvan 1998; Munoz and Wurtz 1993a,b; Munoz et al. 1991). Direct projections of identified SCFNs onto OPNs have not been explicitly shown, but nevertheless, there is compelling circumstantial evidence supporting such a connection. 1) For eye saccades and single-step head-unrestrained gaze shifts, superior colliculus fixation neurons (SCFNs) recorded in the intermediate to deep layers of the rostral SC can display an activity pattern quite similar to OPNs (monkey SCFNs: Everling et al. 1998; Munoz and Wurtz 1993a; cat: Bergeron and Guitton 2000a; Munoz and Guitton 1989, 1991; Munoz et al. 1991; Peck 1989; Peck and Baro 1997). 2) The rostral SC has preferential monosynaptic excitatory projections onto OPNs (Büttner-Ennever et al. 1999; Gandhi and Keller 1997; Paré and Guitton 1994; Yoshida et al. 2001). Some of these projections arise from the crossed predorsal bundle (Büttner-Ennever et al. 1999) and SCFNs project in this pathway (Bergeron and Guitton 2000a; Munoz and Guitton 1991). 3) When either the OPN or SCFN regions are electrically stimulated, it is possible to interrupt a gaze shift during its trajectory or to delay its onset (SC: Gandhi and Keller 1999b; Munoz and Wurtz 1993b; Munoz et al. 1996; Paré and Guitton 1994, 1998; OPN region: Evinger et al. 1982; Keller 1974; Keller and Edelman 1994; King and Fuchs 1977). 4) During attentive fixation, SCFNs are more active (Munoz and Wurtz 1993a), and during this behavioral state, stronger stimulation of the SC's motor map is required to trigger a saccade (Paré et al. 1994). 5) When the SCFN region is deactivated pharmacologically, monkeys make irrepressible saccades to visual targets (Munoz and Wurtz 1993b).

Despite the anatomical and physiological evidence supporting the role of the rostral SC in modulating OPN activity, such a specialized role for SCFNs has been questioned (Everling et al. 1998; Gandhi and Keller 1999a,b; Krauzlis et al. 2000). Indeed, the tonic discharge pattern of OPNs may not, during certain tasks, be a simple replica of the SCFN discharge. For example, in monkeys performing a "gap" saccade task---wherein the fixation point is extinguished a few hundred milliseconds (the gap) before target presentation---the tonic discharge frequency of SCFNs diminishes during the gap period, whereas that of OPNs does not (Everling et al. 1998). A further difference is that OPNs pause for all small saccades, whereas SCFNs burst, or remain active, for small contraversive saccades (Krauzlis et al. 2000; Munoz and Wurtz 1993a; Peck and Baro 1997).

To probe how SCFNs might influence OPNs, we compare in this study the discharge characteristics of both cell types during horizontal multiple-step gaze shifts (Fig. 1, B and D). These movements are composed of a variable number of gaze saccades, of variable amplitude, interspersed with fixation periods of variable duration (Bergeron and Guitton 2000a). In this particular behavior, the visual axis becomes relatively immobile (plateaus) at a number of locations prior to reaching the salient target. Some cats frequently use multiple-step gaze shifts to reorient their visual axis. We showed in Bergeron and Guitton (2000a) that most cat SCFNs paused during the gaze saccades as well as during the plateaus at the beginning of horizonal contralaterally directed multiple-step sequences. SCFN activity resumed only when the visual axis arrived, in the dark, at a particular angular distance from the target position. The subsequent tonic activity was not modulated in relation to saccades in the gaze trajectory. By comparison, Paré and Guitton (1998) showed, for a single example of a multiple-step gaze shift, that an OPN paused for every saccadic gaze step and fired tonically during every fixation period; a pattern quite different from that of SCFNs.



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Fig. 1. Examples of discharges of (A and B) a superior colliculus fixation neuron (SCFN; cell N26 in right SC) and of (C and D) omnipause neuron (OPN; cell G2a) during single-step (A and C) and multiple-step (B and D) gaze shifts. Traces from top to bottom show, respectively, gaze (G); head (H); and eye (E) cell firing where each action potential is indicated by a vertical tic mark; the averaged discharge, the spike density histogram obtained by replacing each action potential by a Gaussian of 10-ms width; marker trace indicating, by the thickened portion, when ambient lighting was extinguished putting animal in complete darkness. Gaze = eye-in-space = eye-in-head + head-in-space. Vertical tic mark on G trace indicates time when target was presented. , when ambient lighting was extinguished; open circle , when it was re-illuminated.

Here we compare SCFN and OPN discharges during horizontal multiple-step gaze shifts to the left and right. We confirm that during gaze saccades the firing pattern of OPNs is "motor-like" and reliably indicates, by its alternating periods of tonic activity and pauses, whether the gaze trajectory is in the fixation or saccade modes. By comparison, SCFNs do not carry motor-like signals. We show further, for both cell-types, that the tonic activity during gaze plateaus increases as the angular distance between the visual axis and the target [gaze position error (GPE)] goes to zero. Thus information on how close the visual axis is to a salient target is available in a very low-level brain stem region, notably OPNs, which are just two synapses away from ocular motoneurons.

Brief reports of some of these results have been presented previously (Bergeron and Guitton 2000b, 2001).


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
CONCLUSIONS
REFERENCES

Animal preparation

All surgical and experimental protocols were approved by the Animal Care Committee of the Montreal Neurological Institute and complied with the Canadian Council on Animal Care policy on the use of laboratory animals. Cats underwent initial training and were selected because they frequently oriented using multiple-step rather than single-step gaze shifts. Note however that the relative use of multiple-steps varied from day to day. Seven cats were prepared for chronic single-unit recordings in the brain stem: five (cats N, M, P, H, and T) for the study of SCFNs in the rostral SC and two different animals (cats G and L) for the study of OPNs in the nucleus raphe interpositus.

Anesthesia was induced with an intramuscular injection of ketamine hydrochloride (10 mg/kg). The cats were intubated and maintained on anesthesia using halothane. During surgery, heart rate, respiratory rate, and body temperature were monitored. A wire coil consisting of three turns of teflon-coated multistrand stainless steel wire (California Fine Wire) was sutured to the sclera of one eye for recording eye movements (Robinson 1963). The wire leads passed subcutaneously to an acrylic skull explant that was anchored to the skull with T-shaped stainless steel bolts. A stainless steel cylinder, constructed to hold a small micropositioner (Narashige), was positioned vertically on the midline of the cranium surface at the antero-posterior stereotaxic coordinate A-P: 0 (Berman 1968) to permit access to the SC for single-unit recording. For access to the OPN region, the cylinder was positioned just rostral to the lambdoid crest, centered on the midline, and tilted 25° back from the frontal plane.

We determined, using antidromic stimulation in two cats (N and T), whether a collicular cell was a tecto-reticular neuron. We implanted into the predorsal bundle and fixed to the explant a bipolar concentric stimulating electrode (SNEX-100; Kopf). This electrode was lowered into the brain stem at an angle 20-30° posterior to the frontal plane, to a site just rostral to the abducens nucleus (stereotaxic coordinates P 5.5, H -5.0, ML 0; Berman 1968) within the predorsal bundle. The final stimulating electrode position was determined by trial and error during surgery: the electrode position was adjusted while continuously stimulating such that a recording microelectrode in the SC could record antidromically activated SC cells and/or strong evoked potentials.

The connector for the eye-coil, the recording cylinder, and the stimulating electrode were embedded in the explant. A screw, attached to the explant, held a second search coil used to measure head movements. A thin stainless steel U-shaped crown was also embedded in the posterior perimeter of the explant for the purpose of attaching the cat's head to a universal joint; it attached to a freely rotating vertical shaft (see Behavioral procedures).

After the surgery, an intramuscular injection of gentamicin (15 mg/kg) or cefazolin (35 mg/kg) was administered as a prophylatic measure against infection. This treatment was continued on a daily basis for 10 postoperative days. At the end of the surgery, an analgesic medication (buprenorphine hydrochloride, 0.01 mg/kg) was given and continued for 2 days. Cats recovered for >= 10 days before experimental procedures commenced.

Behavioral procedures

During the experiments, the alert cat was enveloped in a loosely fitting cloth bag and placed in an open-top box that gently restrained its body and limb movements. The animal box allowed full ranges in horizontal and vertical-up head motion except for downward head motion, which was restricted to about 35° below normal head posture. Only horizontal gaze shifts were analyzed in this study. Two cats---cat M for SCFNs and cat L for OPNs (see Tables 1 and 2, respectively)---were studied with the head completely unrestrained. For the others, the U-shaped crown in the explant was attached, via two universal joints, to a vertical shaft rotating in low-friction bearings. The universal joints minimized constraint on the animal's orienting behavior. The results, summarized in Tables 1 and 2, suggest cell discharges were not affected by whether or not the head was attached to the shaft. Information about calibration procedures for our search coil in magnetic field technique (Robinson 1963) have been reported elsewhere (Guitton et al. 1984).


                              
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Table 1. Parameters describing SCFN activity


                              
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Table 2. Parameters describing OPN activity

To obtain gaze shifts we used a "barrier paradigm" (Munoz and Guitton 1991). A cat faced an opaque black barrier of variable width (10-60°) directly in front at a distance of about 35 cm. The target was pureed cat food placed in a small (3°) receptacle attached to a stem held by the experimenter. Initially in a trial, the food target was hidden behind the barrier and consequently there was no visible target of significance to the cat. To obtain an orienting gaze shift, the receptacle (not stem) was suddenly protruded out from the barrier at the edge of one of the two vertical sides. In this condition, the hungry cat redirected its visual axis from its initial position on the blank screen to the target and was fed. To obtain the time of target appearance, the rapidly moving food target intercepted an infrared detector located at the very edge of the barrier, which generated a marker pulse fed to the computer. The target's trajectory also was measured using a search coil attached to the food receptacle. The calibration of this coil signal was obtained by referring it to the actual physically measured target position. Using these two methods, our estimate of the time of appearance of the target's edge was within ±3 ms.

The barrier paradigm permitted a wide range of gaze shift amplitudes, not only because of the variable barrier width, but also because the overall gaze shift required to fixate the target depended on the initial gaze position that varied from trial to trial. Ambient lighting was provided by a fluorescent light with very fast decay time (~100 µs). Visually guided gaze shifts were performed in the light. These were randomly interleaved with gaze shifts made in complete darkness to the remembered location of the target. To obtain such memory-guided gaze shifts, ambient lighting was extinguished for 1 s, beginning 120 ms after an infrared detector was triggered by the passing food target. When the light was turned on, the cat frequently generated a "corrective" gaze saccade, but these were small, on average 2.1 ± 1.7° (SD) for our seven cats. We took final intended gaze position as that within the last 200 ms before ambient lighting was reestablished.

Single-unit recording

Munoz and Wurtz (1993a) proposed five criteria for a cell to be classified as a monkey SCFN: 1) SCFNs are located in the rostral SC; 2) their tonic activity increases when the animal actively fixates a visible target; 3) this activity persists when the target momentarily disappears but the animal maintains fixation in the dark; 4) for saccades >15°, the tonic activity of most cells pauses at the onset of ipsilateral and contralateral saccades and the pause lasts for the duration of the saccades; and 5) at the end of primarily contraversive saccades to a target, the tonic activity of most cells exceeds that at the start, even if the target has disappeared and the saccade is made in the dark. In prior work we have shown that SCFNs in the head-unrestrained cat---the condition studied here---have very similar properties, save for criterion 4: cat SCFNs pause at the onset of primarily contralateral gaze shifts (Bergeron and Guitton 2000a; Munoz and Guitton 1989, 1991; Munoz et al. 1991). We also showed that many of these SCFNs are tecto-reticular neurons. By comparison, for the head-fixed cat, Peck and Baro (1997) describe omnidirectional pauses for large saccades.

Before recording SCFNs, we first confirmed that our electrodes were in the rostral SC by exploring the SC's motor map using electrical stimulation (train duration, 300 ms; frequency, 300 Hz; current, 5-30 µA). The map's organization was deduced based on the amplitude and direction of gaze shifts evoked at different electrode positions (Paré and Guitton 1994). With this method it was possible to predict the stereotaxic location of the rostral SC's fixation zone. We then confirmed this location by applying electrical stimulation and verifying that we could interrupt a gaze shift in mid-flight. We recorded SCFNs in the intermediate and deep layers---about 1.2-3 mm below the dorsal surface---of the rostral zone of the SC. When we encountered a cell in the rostral SC, we first verified qualitatively that its discharge properties were compatible with criteria 2-5 above, as applied to the cat and described in our prior studies. We then focused on obtaining as much data as possible on the discharge properties during multiple-step gaze shifts.

By stimulating antidromically, in cats N and T, the main descending axons at a site in the predorsal bundle just rostral to the abducens nucleus, it was possible to verify in these cats whether the recorded SCFNs were tecto-reticular neurons. Our techniques have been described in Guitton and Munoz (1991). Stimulation consisted of a biphasic current pulse (30 µA) that was isolated from ground (Grass S88, PSIU 6). The antidromic nature of the evoked spike was determined according to the criteria described by Lipski (1981). For the two cats studied with this technique, cells identified as tecto-reticular neurons are indicated in Table 1.

The region explored to find OPNs extends from the rostral margin of the abducens nucleus <= 1.2 mm anterior, 1.0-3.0 mm below the floor of the IVth ventricule, and ±0.6 mm lateral from the midline (Evinger et al. 1982; Ohgaki et al. 1987; Paré and Guitton 1998; Strassman et al. 1987). To record single-unit activity we used tungsten microelectrodes (1-2 MOmega ; Frederick Haer). The electrode was advanced manually through a cannula to 5 mm over the region investigated, and the hydraulic microdrive lowered the electrode while searching for cells. Action potentials were amplified, filtered (band-pass 300 Hz to 10 kHz), and displayed on an oscilloscope. The identification of OPNs was based on their discharge properties during head-fixed eye-saccades and single-step head-unrestrained gaze shifts, which have been well described in numerous studies (head-fixed, reviewed in Moschovakis et al. 1996; head-unrestrained, Paré and Guitton 1998; Phillips et al.1999). During the experiments, target, eye and gaze positions, cell activity, light offset, and duration of dark period were stored on DAT tape (TEAC RD-200T) for off-line analysis.

Data analysis

The gaze and head coils gave signals proportional to eye and head positions in space, respectively. Gaze (G) = eye-position-in-space = eye-in-head (E) + head-in-space (H). In off-line analysis, using the data stored on DAT tape, we calculated E from G and H. Movement traces were filtered at 1 kHz and digitized at 2 kHz with data acquisition software and subsequently analyzed with MatLab. The start and end of saccadic eye and gaze trajectories were determined by a velocity threshold corresponding to 25°/s. For saccadic head movements the threshold was 15°/s, respectively. Action potentials were converted to logic pulses via a time-amplitude window discriminator (BAK Electronics). Spike density histograms were generated by substituting for each spike a Gaussian function with a width of 10 ms (MacPherson and Aldridge 1979; Richmond et al. 1987) and then summing all the Gaussians together to generate a continuous function in time. Mean firing frequency was calculated by counting the number of spikes in an interval and dividing by the duration of that interval. The relevant interval durations are given in RESULTS.

During multiple-step gaze shifts, we will show in RESULTS that the firing frequency during plateaus increased smoothly as GPE decreased to zero (e.g., Figs. 1B and 3A). To describe the change in firing frequency with gaze position error, we fitted through the data the following Gaussian relationship
ff=&Dgr;ff ∗ <IT>e</IT><SUP>−GPE<SUP>2</SUP>/(2&sfgr;<SUP>2</SUP>)</SUP> + ff<SUB>i</SUB> (1)
where ffi is the firing frequency at large GPE, ffe is the firing frequency at the end of a multiple-step sequence, Delta ff = ffe - ffi, and sigma  is a constant providing a measure of the width of the bell-shaped curve and equivalent to 1 SD in statistical analyses.

To determine how well this nonlinear equation fits the data, we used GraphPad Prism version 3.0 for Windows (GraphPad Software Inc.) to perform the nonlinear regression analyses. We specified parameter ffi and the software adjusted sigma  and ffe to provide the optimal fit to the data points. In the two tables summarizing the data analysis, we provide three quantitative criteria that evaluate the goodness of fit: the nonlinear regression coefficient (R2), the "Runs test," and the 95% confidence limits on the fitted parameter sigma .

The nondimensional value R2 quantifies the goodness of fit and is a fraction between 0 and 1 given by the equation
<IT>R2</IT><IT>=1.0−</IT><IT>SS</IT><SUB><IT>reg</IT></SUB><IT>/</IT><IT>SS</IT><SUB><IT>tot</IT></SUB> (2)
where SSreg is the sum of squares of the distance of the experimental points from the nonlinear curve and SStot is the sum of squares of the distance of the points from a horizontal straight line through the mean of all y axis values. This is the same equation used for linear regression analysis, and R2 gives the variance-accounted-for (VAF). When R2 = 1, all points lie on the curve. Note that R2 cannot be used as the only criterion for goodness of fit. A high R2 indicates that the points are close to the curve and accounts for much of the variance, but in a nonlinear fit, the curve can deviate systematically from the data points being, say, above a certain sequence of points and then below the next sequence, etc. Hence the "Runs test" is used, which gives the probability (P, one-tail) that the points are randomly distributed about the curve. In statistical analysis, a probability of 5% or less is commonly used as the criterion for stating that two populations are statistically different; i.e., for rejecting the null hypothesis. Accordingly, we used the criterion that P should be >5% for the fit to be statistically acceptable; i.e., that there is greater than a 1 in 20 chance that the observed distribution of points about the fitted line could have been obtained following a pick of data from a random distribution. For example, a low P value such as 0.01 indicates that in a large population of points, randomly distributed about the curve, there is less than a 1% chance of selecting a subgroup with the observed distribution of points about the curve; i.e., the fit is not good and another nonlinear curve might be tried. The value P = 0.05 is the least expected; as we shall see, 85% of our fits had a P > 0.20.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
CONCLUSIONS
REFERENCES

To obtain many trials with multiple steps, it was generally necessary to record from a cell for at least about 1 h; a difficult problem in the head-unrestrained condition, because head movements cause small displacements of the brain stem relative to the microelectrode tip, and contact with a cell is easily lost. Thus difficulties imposed by recording stability and multiple-step behavior limited the number of cells that could be studied in each cat. Recording stability was more of a problem with SCFNs than with OPNs. For each SCFN and OPN that we retained for analysis, we had between 8 and 60 (average about 20) of each of single- and multiple-step gaze shifts from which we could quantitatively assess a cell's discharge pattern.

SCFN discharges during contralateral and ipsilateral multiple-step gaze shifts

We report here on 18 cells recorded in the rostral SC of five cats and classified as SCFNs based on prior descriptions of SCFN discharges during single-step gaze shifts in the head-unrestrained cat and head-fixed monkey (see Single-unit recording). For these same neurons, we reported previously that following the initial pause in activity at gaze shift onset, the appearance of the first spike after the pause was determined by GPE (Bergeron and Guitton 2000a). Two cats were studied for antidromic responses. In cat T, we recorded only one SCFN, an identified tecto-reticular neuron. In cat N we identified 5/10 SCFNs as tecto-reticular neurons (labeled in Table 1). Note that this observation does not imply that 50% of SCFNs in cat N were output cells. Indeed, in cat N the antidromic stimulating electrode ceased to function while we recorded cell N37a. (In Table 1, the cells are listed from top to bottom in the chronological order that they were tested.) The mean conduction time of our tecto-reticular neurons was 0.56 ± 0.23 ms.

We begin with an illustrative example (Fig. 1) of the discharge of a typical SCFN during a single-step gaze shift (Fig. 1A, see also Bergeron and Guitton 2000a; Munoz and Wurtz 1993a). This will serve as an introduction to the discharges associated with multiple steps, the behavior of interest in this paper. Note that this saccadic gaze shift is composed of an eye saccade summed with a rapid head movement. When the gaze saccade ended, the visual axis was stabilized in space by an ocular counter-rotation that compensated for head rotation. In our paradigm, just before target presentation, the cat's gaze was immobile on a blank opaque barrier devoid of salient targets. In this condition, SCFN discharge frequency was low. SCFN discharges in monkey are also low when there is no salient target (Munoz and Wurtz 1993a). After target presentation, this low tonic "background" discharge paused for large (for this cell, about >10°) single-step gaze saccades directed contralaterally (Fig. 1A, Table 1), but not ipsilaterally (data not shown). In this example, the discharge resumed about halfway through the gaze saccade, and firing frequency reached a maximum at the end. Note the small burst evoked by the onset of ambient lighting in this and other discharges illustrated in this figure.

During single steps, gaze moved without interruption, in a saccade-like trajectory, until it arrived on target. In multiple steps, the progression of gaze toward the target was interrupted by periods of relative gaze immobility. Figure 1B shows the discharge of the same SCFN, cell N26, during a multiple-step gaze shift and its associated eye and head components. The cat moved its visual axis through a total angle of about 30° using three gaze saccades separated by two gaze position plateaus of different duration. During the plateau phases, the eye moved opposite to and compensated for head motion and gaze velocity was usually very low, frequently zero, as in the present example.

For this SCFN, there was a pause before the onset of the contralateral gaze shift, similar to that for the single step (Fig. 1A). The activity resumed at a certain point during the multiple-step sequence. We showed in Bergeron and Guitton (2000a), for those single-step and multiple-step gaze shifts in which there was a pause in activity at gaze shift onset, that the first spike in the resumption of SCFN discharge after the pause occurred when the visual axis arrived, not at overall gaze shift end but, at a specific angular distance from the target; i.e., a specific GPE. This discharge property was independent of the number and amplitude of steps and the duration of inter-step plateaus. Every cell had its "preferred" GPE at which activity resumed after the pause, irrespective of whether gaze was in a plateau position or moving during a saccade. In Bergeron and Guitton (2000a), we did not provide a quantitative analysis of the tonic discharge pattern of SCFNs during the plateau phases of movements in either the ipsilateral or contralateral directions. This information must be known to better understand the encoding of movement commands by the collicular motor map and also to evaluate the possible influence of SCFNs on OPNs. We provide this information here.

Figure 2 shows the activity of SCFN, cell M56, during a number of multiple-step gaze shifts in the contralateral (A-D) and ipsilateral (E-H) directions, respectively. The multiple-step gaze shifts vary in overall amplitude from about 25° (bottom traces) to 60° (top traces). In Fig. 2, A-D, the same contralateral gaze shifts are shown, but they are aligned on different criteria; the beginning of the first step (Fig. 2A); the end of the first step (Fig. 2B); the end of the second step (Fig. 2C); and the end of the multiple-step sequence (Fig. 2D). In Fig. 2, E-H, the same ipsilateral gaze shifts are shown aligned, as in A-D, on different features of a gaze shift. The different alignments on the end of sequential gaze steps permit an analysis of the change in tonic activity during plateaus as gaze approaches the target. Furthermore, these different alignments permit important comparisons with the OPN discharge illustrated in Fig. 5.



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Fig. 2. Discharges of SCFN, cell M56, during multiple-step gaze shifts of different amplitudes. The same contralateral gaze shifts are shown in A-D except that in each panel, traces are aligned on a different feature of the gaze trajectory. The same holds for the ipsilateral gaze shifts in E-H. A and E: traces aligned on onset of multiple-step sequences (vertical dotted line). B and F: traces aligned on end of the 1st gaze saccade. C and G: traces aligned on end of 2nd gaze saccade. D and H: traces aligned on end of multiple-step sequence. Action potentials corresponding to each gaze trajectory are shown below the gaze traces; the respective order, from top to bottom, of the traces is the same. The cumulative discharge, expressed as a spike density histogram, is shown below the action potentials. Same symbols and conventions as in Fig. 1.

For these overall large gaze shifts, Fig. 2, A and B, shows that the activity of SCFN M56 ceased just after target presentation, before the first gaze saccade in all contralateral trials, thereby yielding a clear cessation of activity (pause), as seen in the histogram at gaze onset and during the first contralateral gaze saccade. By comparison, Fig. 2, E and F, shows that near the start and during the first ipsilateral gaze saccades, there was a slight reduction, not a pause, in overall activity.

Comparing each panel in Fig. 2 shows that the firing frequency at the end of the second step (C and G) was lower than that at gaze-end (D and H) and higher than at gaze-start (A and E). Indeed all SCFNs, of which cell M56 is an example, displayed a gradual increase in activity to reach a maximum firing frequency at the end of both contralateral and ipsilateral multiple-step gaze shifts in the dark. To analyze this property quantitatively, we calculated (see METHODS) the mean firing frequency in all plateaus having a duration >75 ms and velocity <25°/s. The mean firing frequency at the end of a multiple-step sequence (ffe) was calculated in the 200-ms period following the last gaze saccade.

Figure 3, A and B, shows quantitatively, as a function of GPE, the pattern of increase in mean firing frequency of cell M56 during plateaus between the start and end of contralateral and ipsilateral gaze shifts, respectively (see Data analysis). Recall that GPE = 0° is synonymous with gaze-end. Note, in Fig. 3, A and B, that the firing frequency, ffi, during plateaus at large GPEs---i.e., the early phases of the gaze displacement---was lower than the background firing frequency, ffo, measured just before target presentation when the cat faced the opaque barrier. Furthermore, for this cell, ffi for contralateral movements (Fig. 3A) was 0, but not for ipsilateral movements (Fig. 3B). Figure 3, C and D, shows analogous results for a SCFN (cell P47a) whose direction-dependent activity pattern was opposite to that of cell M56: its tonic activity during the initial plateaus, at large GPE, being zero for ipsilateral gaze shifts but not for contralateral gaze shifts. Note that cell M56 (Fig. 3, A and B), as all cells in cat M, was recorded in an animal whose head was completely unrestrained. By comparison, cell P47a was recorded in a cat whose head was attached to the universal joint-vertical shaft arrangement (see METHODS). Figure 3 and Table 1 suggest that the SCFNs recorded in cat M had characteristics similar to those in the other cats.



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Fig. 3. Mean firing frequency of SCFNs during gaze position plateaus () increases as gaze-position error (GPE) of plateau decreases. Data from 2 SCFNs are shown. Cell M56 paused (i.e., ffi = 0) at the start of all contralateral gaze shifts about 28° (A), but not before ipsilateral gaze shifts (B). Cell P47a paused before ipsilateral gaze shifts about 30° (D) but not before contralateral gaze shifts (C). A Gaussian function (see METHODS, Eq. 1) is fit to the data points. triangle , threshold GPE defined as occurring at GPE = 1.64sigma . ffo, firing frequency before target presentation when cat faced opaque barrier. ffi, asymptotic value of firing frequency during plateaus at large GPEs. Parameters in Eq. 1 are A: Delta ff = 54, ffi = 0, sigma  = 9.8; B: Delta ff = 46, ffi = 8, sigma  = 12.8; C: Delta ff = 65, ffi = 16, sigma  = 12.8; D: Delta ff = 72, ffi = 0, sigma  = 8.5. Points within the 5° range in GPE, delimited by the vertical dotted lines in A and B, are from plateaus whose firing frequency was further analyzed in Fig. 4.

For contralateral movements (Table 1), 15 of the 17 SCFNs for which we had sufficient data had discharge characteristics similar to those of cell M56: there was a pause in the histograms at the start of the gaze shifts (ffi = 0), and subsequently, firing frequency increased inversely with GPE. For one other cell (P47a), there was a reduction, not a pause, in activity relative to ffo at the start, but like all cells the activity increased as the gaze shift progressed. [In the remaining cell (H1), we had insufficient data.] By comparison, for ipsilateral gaze shifts (Table 1), the modulation of firing frequency was more variable: ffi was either statistically less, equal to, or greater than ffo, and on average for the population, ffi = 17 was not different from ffo = 15 (P > 0.05). In three cells, the discharge was not modulated (NM in Table 1) with GPE. Note that we found no cells with histograms showing ffi = 0 for gaze shifts in both directions.

The data in Fig. 3 suggest that when modulated, the ff rises smoothly as GPE decreases and makes a smooth transition to peak firing frequency at GPE = 0°. Examples of mathematical relations that could be used to fit this behavior are Gaussian and sigmoid functions. We analyzed all cells using GraphPad Prism (see METHODS) to determine whether either of these functions had a better fit to the data points. For all cells, we found that a sigmoid function did not provide a better fit (F test, P > 0.05). Furthermore, there were no significant differences (P > 0.05) in the ability of these functions either to maximize the variance-accounted-for (R2) or to improve the results of the Runs test (see METHODS). We chose the Gaussian function (Eq.1) because it has been widely used in describing other properties of collicular neural activity, e.g., population activity profiles on the motor map (Ottes et al. 1986) or movement fields of saccade-related cells (e.g., Edelman and Goldberg 2001).

For cells M56 and P47a, the best-fit curves using Eq.1 are shown in Fig. 3 with parameters, Delta ff and sigma , given for this and other cells in Table 1. Note that it was not possible to analyze the relationship between firing frequency during plateaus and GPE for the SCFNs marked by asterisks in Table 1 because the multiple-step gaze trajectories in certain directions had gaze-plateau positions that did not cover a sufficiently large range of GPEs. For our sample, both the VAF (R2) and the Runs test indicate that Eq. 1 is a plausible model: P was always >0.05, and P > 0.2 in 85% of the sample. The mean R2 values show that, on average, the VAF was 0.59 ± 0.5 and 0.53 ± 0.2 for contralateral and ipsilateral movements, respectively. Note also that the experimentally derived mean Delta ff = ffe - ffi = 49 and 36 spikes/s for contralateral and ipsilateral movements, respectively, is similar (t-test, P > 0.05) to the value calculated by Eq.1, 50 and 45 spikes/s, respectively. The mean firing frequency during plateaus at large GPEs (ffi, the horizontal asymptote in Fig. 3) was significantly lower for contralateral (1 spike/s) than for ipsilateral (17 spikes/s) movements (t-test, P < 0.05). This is because of the much greater likelihood of a pause in the former. Note also in Table 1 that the mean firing frequency (ffe) at the end of ipsilateral and contralateral movements was statistically similar (t-test, P > 0.05). Note that ipsilaterally and contralaterally directed gaze shifts end at opposite positions relative to the body midline. Therefore there is no modulation of gaze-end firing frequency with either head, gaze and target positions relative to the body.

Noisy firing rates are characteristic of movement-related discharges in SC (e.g., Edelman and Goldberg 2001; Goossens and Van Opstal 2000). In Fig. 3, the considerable variability in the value of ffe is a specific example of the important inter-trial variability in firing frequency. Noisy firing rates can lead to large relative variations in the estimate of mean firing frequency, particularly for the combination of low firing frequency and short plateau duration. For example, a mean firing frequency of 20 spikes/s implies that in a 100-ms plateau there will be 2 spikes. Clearly, a variability of ±1 spike in the count will lead to a large range, 10-30 spikes/s, in the estimate of mean frequency.

Apart from the dependence of firing frequency on GPE and the presence of unaccountable-for noise, there is the possibility that part of the variability in firing frequency at a given GPE might be reduced if a dependence were found on some characteristics of the eye, head, or gaze trajectories. Although no clear rationale for this can be offered, we nevertheless attempted for each cell to find a link between mean firing frequency during gaze plateaus at a fixed GPE and some feature of the concurrent eye position, head, or gaze velocity. For our example cell M56, we analyzed the discharge during plateaus that occurred within the 5° range of GPEs spanned by the vertical dotted lines in Fig. 3, A and B. This range was selected because it contained a large number of points. We found no significant modulation of SCFN M56 activity with either head velocity (Fig. 4, A and B), eye position (Fig. 4, C and D), or gaze velocity (data not shown) during plateaus. We analyzed each cell in our population using the same range of GPEs but with a mean of the range that varied from cell to cell, selected to ensure sufficient points for analysis. In no cell was there a significant modulation of firing frequency; the mean linear regression correlation coefficients were r = 0.22 ± 0.12 (for eye position), r = 0.22 ± 0.13 (for head velocity), and r = 0.23 ± 0.14 (for gaze velocity).



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Fig. 4. Lack of dependence of plateau firing frequency (cell M56) on either head velocity (A and B) or eye position (C and D). A and C and B and D are for contralateral and ipsilateral movements, respectively. Points are from plateaus occurring at a relatively fixed value of GPE, within the 5° ranges spanned by the vertical dotted lines in Fig. 3, A and B. Ranges are located to maximize number of points between vertical lines. Linear regression lines do not have significant slopes.

The open triangle on each panel in Fig. 3 marks the point on the GPE axis where the Gaussian function reaches 1.64 · sigma  from its peak. This is the point where 5% of the area under the curve lies on one side and 95% on the other. This point conveniently identifies the GPE at which the change in firing frequency begins to increase significantly above its asymptotic low value (ffi) at large GPE. We call the value of GPE marked by the triangle, the cell's "threshold GPE." As indicated in Fig. 3, A and B, for SCFN M56, the threshold GPE = 16° and 21° for contralateral and ipsilateral movements, respectively. Note in Table 1 that the threshold GPE varied across cells. Note also that the identified tecto-reticular SCFNs did not have discharges that differed from those of the other cells. Therefore we did not treat them as a separate population. The range of threshold GPEs encoded by SCFNs for contralateral gaze shifts was 6-30°; the mean ± 95% confidence limits = 15° ± 6°. For ipsilateral gaze shifts, the threshold GPE of some cells could not be determined because their activity remained fixed after target presentation and was not modulated (marked NM in Table 1) with GPE. If we exclude these points from our population characteristics, we obtain for ipsilateral gaze shifts the range 6-21° (mean = 17° ± 5°).

For cells that paused at the beginning of multiple-step gaze shifts, indicated by ffi = 0 in Table 1, we calculated in Bergeron and Guitton (2000a) the equivalent of the present threshold GPE as the value of GPE at the time of the first spike that follows the pause in activity at gaze onset. These values are given in Table 1 for the same trials used to calculate the Gaussian fits. The two calculation methods give similar results. For example, for contralateral movements, the "time-of-first-spike" method gives a mean GPE ± SD =13° ± 6° whereas, for the same cells and trials, the present analysis using Eq. 1 gives a mean threshold GPE ± 95% confidence limits = 14° ± 6°. There is no significant difference between the two calculation methods (t-test, P > 0.05). The advantage of the present approach is that it permits a quantitative evaluation of the full discharge pattern and a convenient analysis of those firing frequency profiles that show no pause in activity at gaze shift onset.

OPN discharges during leftward and rightward multiple-step gaze shifts

OPNs are located close to the midline, and we could not determine with certainty whether a neuron was on the right or left sides of this axis. Therefore when describing OPN discharge characteristics, we refer to gaze shifts as being toward the left or right, not ipsilateral or contralateral. For comparison with SCFNs, 14 OPNs were recorded in two different cats and classified as OPNs according to their discharge pattern during single-step gaze shifts (Paré and Guitton 1998). We have not reported on the present OPNs in a previous paper. Figure 1C illustrates the characteristic pause in OPN tonic activity that is known to begin just before the onset of single-step gaze saccades of all amplitudes and directions and end just before the end of these gaze saccades (Paré and Guitton 1998). Thus the tonic discharge of OPNs ceases (pauses) for a time period equal to the duration of the gaze, not saccadic eye or head movement, trajectory. Note also that, unlike SCFNs (e.g., Fig. 1A), OPNs discharged briskly up to the onset of a gaze saccade even when the animal's visual axis was fixed on the opaque barrier on which there was no target of interest. This difference between the discharges of SCFNs and OPNs, before gaze shift onset, is reminiscent of that shown by Everling et al. (1998) during the gap task in monkey.

In a multiple-step sequence (Fig. 1D), the pattern of activity is similar to that for single-steps; OPNs are active during every gaze position plateau and pause for every gaze saccade. This figure also suggests that the activity is not related to the characteristics of the head trajectory and that the tonic firing frequency during plateaus increase as GPE goes to zero. We will consider these points below. Figure 5 shows the discharge of a typical OPN, cell G4d, during a series of multiple-step gaze shifts. Different trials during right and left gaze shifts are aligned in the same manner as for the SCFN in Fig. 2. The activity pauses just before the beginning of each gaze saccade in both the left and right directions and then increases abruptly at the end of each step. This activity pattern is clearly very different from that seen in SCFNs (Fig. 2). In particular, the high tonic OPN activity that precedes and follows the first gaze step is strikingly different from that in SCFNs.



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Fig. 5. Discharges of OPN, cell G4d, during multiple-step gaze shifts of different amplitudes. The same rightward gaze shifts are shown in A-D except that in each panel, traces are aligned on a different feature of the gaze trajectory. The same holds for the leftward gaze shifts in E-H. A and E: traces aligned on onset of multiple-step sequences (vertical dotted line). B and F: traces aligned on end of the 1st gaze saccade. C and G: traces aligned on end of 2nd gaze saccade. D and H: traces aligned on end of multiple-step sequence. Respective action potential traces are shown below the gaze traces as in Fig. 2; their order of presentation is the same. Cumulative discharge, expressed as a spike density histogram, is shown below the action potentials. Same symbols and conventions as in Figs. 1 and 2.

Note however, a striking similarity between the discharges of the two cell types. For right (Fig. 5, A-D) and left (Fig. 5, E-H) gaze shifts, the activity of this typical OPN during each plateau increases as each step brings gaze closer to the final destination. Thus activity in OPN G4d at the end of the multiple-step sequence was higher than at the start, just as for SCFNs. The increase in activity of OPN G4d as GPE went to zero is shown quantitatively in Fig. 6, A and B, for left and right movements, respectively. Note that the firing frequency during plateaus at large GPE (ffi), is lower than that before target presentation (ffo). This property is similar to that of SCFNs.



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Fig. 6. Mean firing frequency of OPN, cell G4d, during gaze position plateaus () increases as GPE of plateau decreases. A, C, E, and G: movements to left. B, D, F, and H: movements to right. A and B: same format as for SCFNs in Fig. 3. Parameters in Eq. 1 are A: Delta ff = 98, ffi = 50, sigma  = 4.3; B: Delta ff = 80, ffi = 64, sigma  = 5.5. C-H: analysis showing firing frequency does not depend on time of plateau relative to gaze-end. C and D: for the plateaus identified by the points within the ranges in A and B, time of occurrence of a plateau is not correlated to the GPE of the plateau. For these same points, the firing frequency during the plateau is significantly correlated to the GPE of the plateau (E and F) but not to the time of occurrence of the plateau (G and H).

Figure 6 and Table 2 show that Eq.1 provides a realistic description of the dependence of this OPN's firing frequency on GPE. The VAF was 68% and 77% for right and left movements, respectively, and the Runs test indicated that the distribution of points about the line did not differ significantly from Gaussian. For cell G4d, the threshold GPE ± 95% confidence limits was 9° ± 1° and 7° ± 1° for right and left movements, respectively. These values are not significantly different from each other (t-test, P > 0.05). The quantity Delta ff, calculated from the best-fit procedure, was 80 and 98 for right and left movements, respectively. These numbers are very similar to the experimental values, Delta ff = ffe - ffi = 82 and 102, respectively, calculated from the data. However for this cell, the asymptotic value of mean firing frequency (ffi) at high GPE for rightward movements, 64 spikes/s, was significantly different (t-test, P < 0.05) than the value, 50 spikes/s, for leftward movements.

Table 2 lists the parameters for all OPNs. Complete data for left and right movements were obtained in 10/14 OPNs. The remaining four OPNs provided data for one direction of movement only (asterisks in Table 2). Across the population, there was a significant difference (t-test, P < 0.05) between the mean threshold GPEs for right (10° ± 4°) and left (6° ± 3°) movements. This difference was not due to an over-representation of cells for which we had only movements to the right. Indeed, when we consider only those 10 cells for which we had data for movements to both sides, the right-left difference was still significant. Given that we could not assign OPNs to a particular side of the brain, we believe this difference is due to a sampling bias. Indeed, there was no significant difference (t-test, P > 0.05) across the OPN population when averages are compared for ffe and ffi for left and right movements, respectively. Note also from Table 2 that the cells recorded in cat L, whose head was completely unrestrained, have characteristics similar to those in the other cats.

As shown in Fig. 6, there was, for all cells, considerable scatter about the best-fit line. Can we account for it? We have proposed that multiple-steps gaze shifts are created by a nystagmic eye movement pattern (Fig. 1, B and D) generated by alternating vestibular-driven quick and slow phases (Bergeron and Guitton 2000a; Guitton et al. 1984). Brain stem inputs onto OPNs, important for the generation of quick-phases, are eye position and head velocity (e.g., Galiana 1991; see DISCUSSION). To verify whether firing frequency was modulated by these inputs, we analyzed the discharge during plateaus that occurred at a nearly fixed GPE. This procedure is similar to that used in our analysis of SCFNs (Fig. 4). For the OPN population we found no significant modulation, during plateaus, of OPN firing frequency with either head velocity (r = 0.21 ± 0.1), eye position (r = 0.24 ± 0.15), or gaze velocity (r = 0.25 ± 0.14).

Combining the results of the present analysis of SCFNs with those in our initial study (Bergeron and Guitton 2000a), we conclude that it is GPE, not time, that is critical for the development of the firing frequency pattern in these cells. It is also important to verify this property in OPNs. We saw, in Fig. 6, A and B, that the GPE of a plateau is important for determining the OPN firing frequency profile. However, in any one multiple-step gaze shift, time and GPE are correlated, and one might argue that the OPN discharge is not dependent on GPE but rather on the time relative to gaze-end. To distinguish between the influence of each quantity, for OPN G4d, we selected regions along the abscissa in Fig. 6, A and B, indicated by the vertical lines, for which the time of occurrence of a plateau was not correlated to the firing frequency during the plateau (Fig. 6, C and D; r = 0.1 and 0.03 for left and right movements, respectively; not significant; P > 0.05). For these same data, we found that firing frequency was significantly correlated to the GPE of the plateau (Fig. 6, E and F; r = 0.47 and 0.46, respectively; P < 0.005), but not to the time of the plateau (Fig. 6, G and H; r = 0.25 and 0.13, respectively; P > 0.05). We performed this analysis for all our OPNs. In six cells, time and GPE were always correlated, and thus we could not distinguish between these parameters. In the remaining eight cells, the mean ± SD correlation coefficient between firing frequency and GPE averaged across left and right movements was r = 0.40 ± 0.17, whereas for time r = 0.16 ± 11. We conclude that OPN firing frequency, like that of SCFNs, is influenced by GPE and not by the time relative to the end of the gaze shift.

Population activity of SCFNs and OPNs during multiple-step gaze shifts

Figure 7, A and B, shows, for all our SCFNs, the best-fit curves, using Eq.1, through each cell's discharge for contralateral and ipsilateral multiple-step gaze shifts. (Recall that the parameters applicable to each curve are given in Table 1.) In each panel, the thick line represents an estimate of the population discharge and was obtained by calculating the average line through the ensemble of Gaussian fits. Figure 7, D and E, and Table 2 give the same information for OPNs.



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Fig. 7. Dependence of firing frequency on GPE for each cell in our sample. Best-fit Eq. 2 is shown for each SCFN for the contralateral (A) and ipsilateral (B) directions, and for each OPN in the right (D) and left (E) directions. Thick heavy line indicates the average of all curves. This provides a measure of the average global discharge of the SCFN and OPN populations at each value of GPE and for each direction of movement indicated above each panel. C: thick full line is the global SCFN population discharge for the average of combined contralateral (A) and ipsilateral (B) movements. Dotted lines indicate ±2 SD. F: thick full line is the global OPN population discharge ±2 SD for the average of combined right (D) and left (E) movements. Heavy dashed lines in C and F show the global firing frequency of a subpopulation of cells selected on the basis that the variance-accounted-for (R2) of the Gaussian fit for each cell >= 0.65 (Tables 1 and 2).

The thick curves in Fig. 7, A, B, D, and E, provide insight into how the hypothetical global discharge in a population of SCFNs and OPNs encodes GPE. Figure 7C shows the population average, ±2 SD, for combined ipsilateral and contralateral SCFN discharges, obtained as the mean of the thick lines in Fig. 7, A and B. We show this because OPNs may receive combined projections from both SCs, a point that will be considered in the DISCUSSION. For comparison, Fig. 7F shows the population average ±2 SD for the mean of the left and right population OPN discharges. The heavy dashed lines in Fig. 7, C and F, show the population average of only those cells in Tables 1 and 2 for which R2 >=  0.65; this is very similar to the population averages.

Relationship between firing frequencies at start and end of trials

For most OPNs and all SCFNs, the firing frequency (ffo), before target presentation, when the cat faced the opaque barrier in the light but with no salient target, was lower than the firing frequency in the dark at GPE = 0 (ffe) (see Tables 1 and 2). Figure 8 compares ffe to ffo for OPNs and SCFNs. Note that the two frequencies are linked: the higher the ffo, the higher the ffe. Furthermore, the points seem to fall about a line parallel to, and offset from, the dotted unity diagonal line. This suggests that the effect of landing on target is to add a constant frequency increment to ffo. The average ffo for all SCFNs recorded was 15 ± 11 spikes/s (Table 1) and for OPNs was 93 ± 34 spikes/s (Table 2). By comparison, SCFNs had a mean (pooling both contralateral and ipsilateral) of ffe = 51 ± 20 spikes/s and OPNs a mean (left plus right) of 132 ± 54 spikes/s. The average increase in frequency (ffe - ffo) for SCFNs and OPNs was very similar, 36 and 39 spikes/s, respectively. Perhaps SCFNs provide this increment to OPNs.



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Fig. 8. Dependence of ffe at end of multiple-step sequence on ffo at start of trial, before target was presented.

Response of SCFNs and OPNs to light onset during fixation

It is well known that many cells in the SC's deep layers, including tecto-reticular neurons, show a transient increase in discharge after the appearance of a visual stimulus in their receptive field (Berthoz et al. 1986; Guitton and Munoz 1991; reviewed in: Guitton 1991; Sparks 1986). In particular, SCFNs have visual responses with receptive fields that include the area centralis (Munoz and Guitton 1989, 1991; Peck 1989; Peck and Baro 1997). OPN also have visual responses with receptive fields near central vision (Everling et al. 1998; Evinger et al. 1982).

In our paradigm, a burst discharge could be evoked in 12/14 OPNs and all SCFNs when ambient lighting was turned on after the cat's gaze had reached, in the dark, the location of the remembered target. We calculated the onset of the burst as the point where the neural activity reached 2 SD above background firing rate whose average was ffe. Figure 9, A and B, shows histograms giving the mean onset latency of the visual response for each cell. The population averages were as follows: SCFNs, 54 ± 20 ms; OPNs, 58 ± 22 ms. This difference was not significantly different and thus yielded no insight into whether SCFNs drove OPN visual responses.



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Fig. 9. Latency of visual responses measured at GPE = 0, when ambient light turned on. Histograms show number of SCFNs (A) and OPNs (B) with visual response latencies that fall into specific time intervals.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
CONCLUSIONS
REFERENCES

Research in oculomotor control has led to the definition of a neural fixation system (Goldberg 2000; Leigh and Zee 1999). Apart from SCFNs and OPNs, neurons implicated in fixation behavior have been found in the substantia nigra pars reticulata (Hikosaka and Wurtz 1983), thalamus (Schlag and Schlag-Rey 1984), subthalamic nucleus (Matsumura et al. 1992), zona incerta (Ma 1996), frontal eye field (Bruce et al. 1985; Burman and Bruce 1997; Hanes et al. 1998), supplementary eye field (Bon and Luchetti 1992, 1995; Lee and Tehovnik 1995; Schall 1991; Schlag et al. 1992), prefrontal cortex (Suzuki and Azuma 1977), and posterior parietal cortex (Lynch et al. 1977; Sakata et al. 1980). The role of each of these nodes and how they interact both anatomically and functionally is not understood.

Controversy as to whether SCFNs gate saccades

In this paper we are concerned with the collicular fixation zone and its link to OPNs. In the classic visually triggered saccade task---a target comes on when the fixation point goes off---SCFNs discharge tonically during the fixation period, are silent for the duration of the saccade to the target, and discharge again when gaze is on target. This discharge pattern, being similar to that of OPNs, has suggested that SCFNs gate and suppress saccades (Munoz and Guitton 1989, 1991; Munoz and Wurtz 1993a; Munoz et al. 1991; Quaia et al. 1999). They can do this via two known routes: 1) by inhibiting the SC's motor map, via collicular inhibitory interneurons (Munoz and Guitton 1991; Munoz and Istvan 1998; Paré et al. 1994) and 2) by activating OPNs (Büttner-Ennever et al. 1999; Everling et al. 1998; Gandhi and Keller 1997; Munoz and Guitton 1989, 1991; Munoz and Wurtz 1993a,b; Munoz et al. 1991; Paré and Guitton 1994), which, in turn, inhibit the brain stem saccadic burst generator (reviewed in Scudder et al. 2002).

The role of SCFNs in providing the "go" and "stop" signals for saccades has been questioned. Regarding the latter, lesions of the SC's rostral pole do not produce hypermetric saccades (Munoz and Wurtz 1993b) as would be predicted if the stop signal were removed. Evidence against the go signal has been obtained by investigating what triggers short latency (about 100 ms) "express" saccades. These saccades are generated in the "gap-task" in which a fixation point is extinguished a short time (the gap) before target presentation (for discussion, see Dorris et al. 1997; Everling et al. 1998