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Vision, Central NeuroReport NeuroReport 10, 873±878 (1999) MANY neurons in area VIP encode the location of visual stimuli in a non-retinocentric frame of reference. In this context the question needed to be addressed whether the underlying coordinate transformation of the incoming visual signals could be generated within area VIP or whether this information would have to arrive from other areas. We tested 74 neurons in area VIP of two awake monkeys for an in¯uence of eye position while animals performed a ®xation task. More than half of the neurons (40/74) revealed an eye position effect. At the population level, however, this effect was balanced out. We suggest that local connections within area VIP could be used to generate an encoding of visual information in a non-retinocentric frame of reference. NeuroReport 10:873±878 # 1999 Lippincott Williams & Wilkins. Key words: Area VIP; Eye position; Head-centered encoding; Monkey Introduction The ventral intraparietal area (VIP) is part of the dorsal stream of the macaque visual cortical system [1]. Neurons in these dorsal stream areas have been implicated in the processing of visual spatial information and in the encoding of motion signals. Neurons in area VIP combine both response features in the sense that they have spatially congruent visual and tactile receptive ®elds (RFs) and are also directionally selective for moving visual and tactile stimuli [2±4]. In addition, many neurons respond to rotational vestibular stimulation [5]. When all three sensory modalities are present, preferred directions for visual, tactile and vestibular stimulation are codirectional [6,7]. This orderly arrangement of responsiveness across modalities previously led us to investigate the reference frame used for the encoding of sensory signals from all three modalities. We found that a subset of cells in area VIP encodes visual spatial information in a non-retinocentric (such as head-centered) frame of reference [8]. With regard to the latter observation, the question remains concerning the necessary parameters and related signal processing to construct such a (potentially) craniocentric spatial encoding at the single cell level. Several theoretical studies have shown previously that a combination of visual signals and information about the position of the eyes in the head can be used to provide such a non-retinocentric encoding [9±13]. However, the population of eye position0959-4965 # Lippincott Williams & Wilkins Eye position encoding in the macaque ventral intraparietal area (VIP) F. Bremmer,1,2,CA W. Graf,1 S. Ben Hamed1,3 and J.-R. Duhamel1,3 1 CNRS, ColleÁge de France, 11 place Marcelin Berthelot, F-75005 Paris, France; 2 Department of Zoology and Neurobiology, Ruhr-University Bochum, D-44780 Bochum, Germany; 3 Institute of Cognitive Science, CNRS UPR 9075, 67 boulevard Pinel, F-69675 Bron, France CA,2 Corresponding Author and Address in¯uenced cells would need to ful®ll certain prerequisites in order to allow a non-retinocentric encoding. These conditions would be met if (i) the preferred directions, i.e. the gaze directions accompanied by the strongest discharge of the cells, were uniformly distributed, and if (ii) the eye position effect, observed at the single cell level, was balanced out at the population level (see [14]). In the present study we tested neurons in area VIP for an in¯uence of eye position during active ®xation in darkness. More than half of the cells revealed a statistically signi®cant eye position effect (distribution free ANOVA). Two dimensional regression analysis was used to quantify the effect and proved to be a statistically signi®cant or near signi®cant model for more than half of the cells. This 2-D regression analysis allowed de®ning for each single cell the direction of the steepest slope of the regression plane, i.e. the preferred direction. Preferred directions were uniformly distributed. Furthermore, the eye position effect was at equilibrium at the population level. We thus conclude that within area VIP all necessary information is available for generating a non-retinocentric encoding of visual spatial information. Materials and Methods Experiments were performed in two female macaque monkeys, one rhesus monkey (M. mulatta, 4.6 kg) and one fascicularis monkey (M. fascicularis, 3.8 kg). Vol 10 No 4 17 March 1999 873 NeuroReport All animal care, housing and surgical procedures were in accordance with national French and international published guidelines on the use of animals in research (European Communities Council Directive 86/609/ECC). Most of the experimental methods employed in this investigation have been described previously [8]. Behavioral paradigm and recordings: During training and the recording sessions, the animals were restrained in a primate chair (with the head ®xed only during recordings) while performing ®xation tasks for liquid rewards. Rewards were given for keeping the eyes within an electronically de®ned window of 2 3 28 centered on the ®xation target. A PC running the REX software package (NIH) controlled behavioral paradigms and data acquisition. At the end of the training or the experimental sessions, the monkeys were returned to their cages. The animal weights were monitored daily and supplementary fruit and/or water were provided if necessary. For extracellular recordings, tungsten-inglass electrodes (Frederick Haer, Inc., impedance 1± 2 MÙ at 1 kHz) were advanced using a hydraulic microdrive (Narishige) which was mounted on the recording chamber. Neuronal activity and electrode depth were noted to establish the relative positions of landmarks, such as gray and white matter and neuronal response characteristics. During recording sessions, area VIP was identi®ed by its location within the intraparietal sulcus and by its typical physiological response characteristics, with regard to the neighboring areas LIP and MIP: VIP neurons show selectivity for the direction of visual stimulus motion and are often also directionally selective regarding tactile responses to stimulation of the face or the head area [8]. One animal is still used in ongoing experiments; in the other monkey histological analysis veri®ed that recording sites had been located in area VIP. Animal preparation: Monkeys were prepared for recordings by implanting a head holding device under general anesthesia (ketamine, Propofol) and sterile surgical conditions. Scleral search coils were implanted in each eye for monitoring eye position movements. The wire leads were connected to a plug on top of the skull. A recording chamber for microelectrode penetrations through the intact dura was anchored ¯at to the skull centered at P 3.5, L 12. Recording chamber, eye coil, plug and head holder were all embedded in dental acrylic which itself was connected to the skull by self-tapping screws. Analgesics, antibiotics, etc. were given postoperatively. Recording started 1 week after surgery. 874 Vol 10 No 4 17 March 1999 F. Bremmer et al. Visual target presentation, data analysis, and histology: During the experiments, the animals were viewing a translucent screen subtending the central 80 3 708 of the visual ®eld. A ®xation target (diameter 0.58, luminance 0.5 cd/m2 ) was back-projected by a liquid crystal display system in random order at nine different locations on the screen without any further visual stimulation. Locations were the center of the screen plus eight concentrically located points 158 away from the center ([x, y] [08, 08], [08, 158], [158, 08], [10.68, 10.68]). Presentation of ®xation targets (starting at t 0 ms) lasted for 2000 ms. The animal's eye position had to be within the electronically de®ned window not later than t 700 ms. Trials were aborted if the animal broke ®xation after this time (t 700 ms) and the end of the trial (t 2000 ms). Mean neuronal activity was recorded throughout the trial and analyzed for each ®xation location for an epoch between t 1000 ms and t 2000 ms, thus guaranteeing that eye position had been maintained continuously within the electronically de®ned window for > 300 ms before onset of the analyzing epoch. Differences in activity were tested for statistical signi®cance with a distribution-free ANOVA. Twodimensional linear regression analysis was applied to quantify the eye position effect. For validating the planar model as ®t to the observed data, an F-test was employed. Standard histological techniques were applied to reconstruct the recording locations [2,3]. Results A total of 74 neurons was recorded from two left hemispheres of two monkeys. The activity of more than half the cells (40/74; 54%) was in¯uenced by the differential position of the eyes in the orbit during ®xation in darkness. With respect to this eye position effect area VIP is structured very homogeneously since cells showing an eye position effect were found throughout area VIP without any obvious clustering into intra-areal sub-regions. Furthermore, no evidence for any eye position map could be found, i.e. neighboring cells varied their preferences for eye positions in an unsystematic manner. The eye position effect: single cell level: The modulatory effect of eye position was quanti®ed using a two-dimensional linear regression analysis. In the illustrated example (Fig. 1), discharges were strongest for ®xation locations right and downward (ANOVA: P , 0.0001). Activity decreased for eye positions leftward and upward. Figure 1A shows the mean discharges (s.d.) for the different ®xation Eye position effects in area VIP NeuroReport B 40 ikes/s) 40 30 30 p Activ. (S Activ. (Spikes/s) 6 s.d. A 20 10 20 10 0 C L LU U RU R RD D LD Fixation location 20 2 10 2 g) 0 (de al 10 rtic Ve 0 0 20 10 g) 0 l (de nta izo 2 20 21 r Ho z(Spikes/s) 5 0.479x 2 0.196y 1 23.46 r2 5 0.875. p , 0.002 FIG. 1. Eye position effect during ®xation in darkness: single cell level. (A) Mean activity values ( s.d.) observed at nine different ®xation locations (C center; LU left up; U up; RU Right Up; R Right; RD right down; D down; LD left down; L left). In this case, discharge rates were strongest for ®xation locations right and downward. (ANOVA: P , 0.0001). The dotted lines indicate the ideal values, i.e. those discharges perfectly matching the regression values. (B) The shaded plane represents the two-dimensional linear regression to the mean discharge values (r2 0.875, P , 0.002). The x±y plane in this plot represents the central 40 3 408 of the tangent screen. The base point of each drop line depicts the ®xation location on the screen, and the height of each line depicts the mean activity value during ®xation at this location (same data as in A). locations. Dotted lines indicate ideal data, i.e. values perfectly matching the regression values. Since approximation of a regression plane with horizontal and vertical eye position as independent variables is equivalent to the approximation of a cosine function with gaze angle as independent variable for a ®xed gaze amplitude (in our case 158) [14], the ideal data are located on a cosine-like tuning curve. The ideal discharge value for central ®xation is given by the intercept value of the regression plane. Figure 1B shows the same data (needle-like drop lines) in a 3D view. The shaded plane depicts the regression plane approximated to the mean discharge values, with regression parameters given below the diagram. The eye position effect: population level: A regression plane was approximated to the discharge of each individual neuron. For 37% (27/74) of the recorded neurons, this ®t was signi®cant at P , 0.05. For another 16% (12/74) of the neurons, the approximation was nearly signi®cant at P , 0.1. The eye position effect, which could be observed at the single cell level, was at equilibrium at the population level (Fig. 2). Average discharge values of the population of eye position-affected neurons for the different ®xation locations were not signi®cantly different (ANOVA: P . 0.8. Fig. 2A). A population discharge plane obtained by averaging the parameters of the individual regression planes illustrates the same result (Fig. 2B): the plane has virtually no slope. Thus, both mathematical approaches, i.e. average response of neuronal discharges as well as the average response plane, show an invariance of neuronal discharges with respect to eye position at the population level. The symmetry of the population response, i.e. the ¯atness of the population discharge plane, could result, e.g. from a roughly equal distribution of eye position effects across all parts of the oculomotor range. Alternatively, it could result from a small number of neurons ®ring at high rates in one part of the oculomotor range and a larger number of neurons ®ring at relatively low rates for the opposite part of the oculomotor range. We, therefore, also analysed the distribution of the gradients of the regression planes, i.e. the amount and the direction of the steepest increase of activity with eye position. The analysis indicated that the directions of the gradients were uniformly distributed (Fig. 3: central two-dimensional graph; ÷2 test: P . 0.8). For the population of eye position affected neurons, regression slopes tended to be normally distributed (Fig. 3: histograms on top of and to the right of the central scatter plot). In other words, for a number of neurons (like the one shown in Fig. 1 with increasing activity for down and rightward eye position, i.e. the gradient direction) there exists an almost equivalent number of neurons with roughly the same increasing activity in the opposite (left and upward) gradient direction. Discussion Most of the recorded neurons were visually responsive. One might argue that if the target within the de®ned control window was imperfectly ®xated, Vol 10 No 4 17 March 1999 875 NeuroReport F. Bremmer et al. A B ikes/s) 40 30 p Activ. (S Activ. (Spikes/s) 30 20 20 10 0 10 Ve rti 0 ca l ( 21 de 0 g) 2 20 10 0 C L LU U RU R RD D LD 20 10 g) 0 l (de nta 0 21 orizo 0 H 22 z(Spikes/s) 5 20.005x 2 0.015y 1 12.99 n 5 40 Fixation location FIG. 2. Eye position effect during ®xation in darkness: population level. (A Mean activity ( s.d.) for nine different eye positions obtained from those cells that showed a statistically signi®cant eye position effect (n 40). (Abbreviations as in Fig. 1). The discharge values for the different eye positions were not signi®cantly different (ANOVA: P . 0.8), indicating that the modulatory effect of eye position is balanced out at the population level. (B) The mean population response plane was obtained by averaging all regression planes obtained from those cells that showed a statistically signi®cant eye position effect (n 40). Both mathematical approaches (A and B) lead to the identical result: the resulting discharge plane proved to be ¯at. Number 10 5 Vertical slope [(Spikes/s)/deg] 0 0.5 0.0 20.5 10 5 0 20.5 0.0 0.5 Horizontal slope [(Spikes/s)/deg] FIG. 3. Distribution of the gradients of the regression planes obtained from those cells that showed a statistically signi®cant eye position effect. In the central scatter plot each single dot represents the gradient of an individual regression plane. Statistical analysis proved the directions of the gradients to be uniformly distributed. Histograms on top and to the right of the central scatter diagram show the distribution of slopes along only one oculomotor axis: horizontal (top) and vertical (right). Note that regression slopes tend to be normally distributed. different visual signals could have been produced at different eye positions, and that this in itself could have generated the observed effects. Such a visual origin of the observed effects can be excluded for several reasons. First, many of the cells (like that shown in Fig. 1) had visual receptive ®elds (RFs) excluding the foveal and parafoveal region. Thus, 876 Vol 10 No 4 17 March 1999 the ®xation target would not have stimulated the cells' RF at all. Secondly, if for the remaining cells the animals had been systematically off the target, these `target stimuli' still would not have modulated neuronal activity since neurons in area VIP do not respond to stationary visual stimuli [2,4±6,8]. Several theoretical studies have suggested that the functional properties of neurons affected by eye position might be used to accomplish a coordinate transformation of the incoming visual signals into a non-retinocentric frame of reference [9±12,14,15]. Such a non-retinocentric encoding could be centered with respect to the head (head-centered or craniocentric), to the body (body-centered or egocentric) or to the external world (world-centered or allocentric). The coordinate systems of all of these nonretinocentric types of encoding share the common property that their origin is not centered on the retina. For the sake of simplicity, any non-retinocentric frame of reference will be termed headcentered (or craniocentric) in the following. The basic motivation of the theoretical studies mentioned above was the observation that general sensorimotor processing involves several parts of the body aside from the eye. Thus, organizing appropriate motor outputs like avoiding an obstacle, reaching for an object, etc., would require coordinate systems centered on the respective output structure (head, body, limb etc.). The mathematical algorithms suggested by these studies allow the construction of such a kind of effector-centered encoding by combining, in a ®rst-stage transformation, information about the location of a visual Eye position effects in area VIP stimulus on the retina with information about the position of the eyes in the orbit. At the physiological level, however, several questions remained unanswered by these studies, in particular whether the resulting craniocentric encoding was carried out implicitly by a population of neurons or whether their function could be identi®ed explicitly at the single neuron level. In case of such an explicit encoding, the question would arise whether it occurred within the same area where the eye positionmodulated neurons are found, or whether it occurred outside this area in a population of neurons unaffected by eye position. In a previous study we showed that many neurons in area VIP encode the location of an object in space in at least head a-centered frame of reference: visual receptive ®elds remained spatially constant regardless of eye position [8]. Neurons with similar properties had been found earlier in another dorsal stream area, i.e. area V6 [16]. Clearly, there exist visual cortical areas with an explicit head-centered encoding at the single cell level. Interestingly, in addition to this explicit head-centered encoding, many neurons in both areas (VIP and V6) were found to encode in a `classical' eye-centered frame of reference. Finally, visual driven activity of about half of the eye- and head-centered VIP cells, as well as many V6 cells [17], was modulated by the position of the eyes in the orbit. Thus, eye position effects can also be found in areas with an explicit head-centered encoding at the single cell level. The present study goes one step further by showing that the distribution of eye position effects in area VIP is suited to generate this observed head-centered encoding: the preferred directions of the eye position effects are uniformly distributed. This observation indicates two different facts: (i) eye position cells can be found across all parts of area VIP, (ii) there exists no topographical map for eye position effects, i.e. there do not exist any clusters of cells showing the same preference for a speci®c eye position. In other words, for a large enough ensemble of cells no speci®c eye position exists that elicits a stronger or weaker average activity compared to others. As this study has shown, a relatively small number of eye position affected cells (n 40) sampled throughout area VIP is suf®cient to obtain such an unbiased population response. These discharge characteristics allow precise encoding of the position of the eyes in the head, and thus indicate the capability of the existing network to construct head-centered cells by a simple connectivity scheme [14]. This capability, however, does not prove that neuronal discharges of eye-position affected neurons in area VIP are indeed used to construct such head-centered cells. Such a (virtually impossible) proof would require NeuroReport identi®cation of all inputs to a head-centered cell and testing of all input cells for an in¯uence of eye position on their discharge. Head-centered encoding and the eye position effect: Head-centered cells have been described in three cortical areas of the macaque sensorimotor system: areas VIP and V6 [16] and the premotor cortex [18]. In all three areas, neurons affected by eye position were also found. As in the present study, eye position effects suited to generate headcentered encoding within the very same area were also shown to exist in premotor cortex [19]. Review of the published data suggests that also the distribution of the eye position effects in area V6 allows such a kind of encoding. Eye position effects have also been described in other areas of the macaque sensorimotor system: V3A, MT, MST, LIP, 7A and SEF [20±25]. In none of these, head-centered cells were described although the requirements, i.e. eye position in¯uenced cells with a speci®c population characteristic, were ful®lled. We thus consider the modulatory in¯uence of eye position on neuronal discharges to be a common phenomenon throughout the monkey cortical system that probably subserves an implicit representation of spatial information in a head-centered frame of reference. We propose that an explicit encoding at the single cell level, however, seems to be present only in areas which participate speci®cally in the control and sensory guidance of body parts other than the eyes. Conclusion The activity of more than half of the cells in area VIP is in¯uenced by eye position. The distribution of eye position effects in area VIP is similar to that observed previously in areas V3A, MT, MST, LIP, 7A, V6 and PMd. We thus consider the modulatory in¯uence of eye position on neuronal discharges to be a common phenomenon in monkey cortex, probably subserving an implicit representation of spatial information in a head-centered frame of reference. Cells explicitly coding in a head-centered frame of reference, as have been shown to exist also in area VIP, seem to be restricted to areas speci®cally involved in the control and sensory guidance of body parts other than the eyes. References 1. 2. 3. 4. Felleman DJ and Van Essen DC. Cereb Cortex 1, 1ÿ47 (1991). 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Bremmer F, Ilg UJ, Thiele A et al. J Neurophysiol 77, 944ÿ961 (1997). 23. Bremmer F, Distler C and Hoffmann K-P. J Neurophysiol 77, 962ÿ977 (1997). 24. Schlag J, Schlag-Rey M and Pigarev I. Exp Brain Res 90, 302ÿ306 (1992). 25. Galletti C and Battaglini PP. J Neurosci 9, 1112ÿ1125 (1989). ACKNOWLEDGEMENTS: This work was supported by grants from the European Union (HCM: CHRXCT930267) and the Human Frontier Science Program (RG71/ 96B). Received 6 January 1999; accepted 24 January 1999