European Journal of Neuroscience, Vol. 13, pp. 1177±1189, 2001 ã Federation of European Neuroscience Societies Activation of frontoparietal cortices during memorized triple-step sequences of saccadic eye movements: an fMRI study W. Heide,1 F. Binkofski,2 R. J. Seitz,2 S. Posse,3 M. F. Nitschke,1 H.-J. Freund2 and D. KoÈmpf1 1 Department of Neurology, Medical University at LuÈbeck, D-23538 LuÈbeck, Germany Department of Neurology, Heinrich-Heine-University, DuÈsseldorf, Germany 3 Institute of Medicine, fMRI Unit, Research Center JuÈlich, Germany 2 Keywords: double-step saccades, efference copy, human frontal eye ®elds, parietal eye ®elds, visuospatial attention Abstract To determine the cortical areas controlling memory-guided sequences of saccadic eye movements, we performed functional magnetic resonance imaging (fMRI) in six healthy adults. Subjects had to perform a memorized sequence of three saccades in darkness, after a triple-step stimulus of successively ¯ashed laser targets. To assess the differential contribution of saccadic subfunctions, we applied several control conditions, such as central ®xation with or without triple-step visual stimulation, selfpaced saccades in darkness, visually guided saccades and single memory-guided saccades. Triple-step saccades strongly activated the regions of the frontal eye ®elds, the adjacent ventral premotor cortex, the supplementary eye ®elds, the anterior cingulate cortex and several posterior parietal foci in the superior parietal lobule, the precuneus, and the middle and posterior portion of the intraparietal sulcus, the probable location of the human parietal eye ®eld. Comparison with the control conditions showed that the right intraparietal sulcus and parts of the frontal and supplementary eye ®elds are more involved in the execution of triple-step saccades than in the other saccade tasks. In accordance with evidence from clinical lesion studies, we propose that the supplementary eye ®eld essentially controls the triggering of memorized saccadic sequences, whereas activation near the middle portion of the right intraparietal sulcus appears to re¯ect the necessary spatial computations, including the use of extraretinal information (efference copy) about a saccadic eye displacement for updating the spatial representation of the second or third target of the triple-step sequence. Introduction Single-neuron studies in nonhuman primates have identi®ed four cortical areas with presaccadic neuronal activity, re¯ecting their speci®c involvement in the preparation and initiation of saccadic eye movements: the frontal eye ®eld (FEF; Bruce & Goldberg, 1985), the supplementary eye ®eld (SEF; Schlag & Schlag-Rey, 1987), the parietal eye ®elds, particularly the lateral intraparietal area (LIP; Barash et al., 1991) on the lateral bank of the intraparietal sulcus (IPS), and ± for delayed saccades and memory-guided saccades ± the dorsolateral prefrontal cortex (PFC; Boch & Goldberg, 1989; Funahashi et al., 1991). Other areas are also involved in the preparation of saccades, such as the anterior cingulate cortex (ACr). The probable location of these areas in human cerebral cortex has been inferred from lesion studies and functional brain imaging (Fox et al., 1985; Petit et al., 1993, 1996, 1997; Anderson et al., 1994; O'Sullivan et al., 1995; MuÈri et al., 1996; Sweeney et al., 1996; Luna et al., 1998). According to human lesions studies, each of these areas is critical for the control of certain saccadic subfunctions (Pierrot-Deseilligny et al., 1995; Heide & KoÈmpf, 1998): the FEF for the execution of internally generated intentional saccades, the SEF for the triggering of memorized saccadic sequences, the PFC for spatial working memory, and the posterior parietal cortex (PPC) for visually triggered Correspondence: Dr Wolfgang Heide, as above. E-mail: heide_w@neuro.mu-luebeck.de Received 25 April 2000, revised 5 January 2001, accepted 9 January 2001 re¯exive saccades and for saccade-related spatial transformations. The latter were investigated using a ¯ashed version of the double-step task that allows the dissociation of a target's retinal vector from its saccadic motor vector (Hallett & Lightstone, 1976). In this task two saccades have to be executed to the memorized locations of two peripheral targets that had been ¯ashed previously in rapid succession. As the second target has disappeared before the ®rst saccade, spatial accuracy of the second saccade requires updating of the second target's retinal coordinates by subtracting extraretinal information (e.g. efference copy) about the motor vector of the ®rst saccade. Normal human subjects perform this task quite accurately, except for systematic perceptual and saccadic mislocalization when the second target is presented as a very short ¯ash (2 ms) immediately before or during the ®rst saccade (Honda, 1989; Dassonville et al., 1992; Schlag & Schlag-Rey, 1995). Single-unit studies in monkeys have detected visually responsive neurons in the superior colliculus (Mays & Sparks, 1980), the FEF (Goldberg & Bruce, 1990) and the posterior parietal area LIP (Goldberg et al., 1990; Barash et al., 1991) that generate a spatially accurate signal preceding the second saccade of the double-step task. This implies the availability of extraretinal information about eye position or previous eye displacement in these neuronal structures. Particularly in the FEF (Umeno & Goldberg, 1997) and in area LIP the efference copy signal is present even prior to the ®rst saccade (by about 80 ms) and used to remap the neurons' receptive ®elds according to the anticipated eye displacement of the 1178 W. Heide et al. impending saccade (Duhamel et al., 1992a), thus updating the spatial representation of the second target for the maintenance of spatial constancy (Heide & KoÈmpf, 1997). In a computational model, Dominey & Arbib (1992) have proposed that this dynamic remapping of spatial target representations and the updating of retinal error caused by changes in eye position might take place in posterior parietal area LIP and is transferred from there to the FEF and the superior colliculus. More recently these authors (Dominey et al., 1997) postulated that the de®nite neuronal compensation for an eye movement (e.g. the ®rst saccade of the double-step task) occurring between target presentation and the corresponding saccade is accomplished by subtraction of a damped signal of the change in eye position and that it should take place on a subcortical level, downstream from the FEF, in order to account for the ®ndings of collision experiments where after electrical stimulation of the FEF during a visually guided saccade, the ®xedvector code of the stimulated saccade appears to be combined with the estimated eye position at the time of the ®ctive target presentation, thus compensating for eye displacement during the afferent and efferent delay periods. Nevertheless, the critical role of the PPC for these spatial transformations was con®rmed by clinical studies of doublestep saccades, where patients with posterior parietal lesions were speci®cally impaired, in terms of dysmetric second saccades, whenever the ®rst saccade had been directed into the contralesional hemi®eld (Duhamel et al., 1992b; Heide et al., 1995). The objective of this study was to delineate cortical activation patterns that might re¯ect these different subfunctions involved in the performance of memorized saccadic sequences in humans. In contrast to a similar study with positron emission tomography (Petit et al., 1996), we used functional magnetic resonance imaging (fMRI) with its higher spatial resolution, and we applied a different paradigm. Analogous with the double-step task, our subjects performed nonpredictive triple-step saccades. This should continuously activate cortical areas involved in spatial updating of target representations and in the processing of efference copy, whereas during the repetitive performance of a prelearned saccadic sequence, as applied by Petit et al. (1996), these computations might partly be compensated by learning and prediction, and signal intensity in parietal areas might decrease as an effect of task repetition (Dejardin et al., 1998). In order to isolate the cortical activity speci®c to the triple-step task from its basic visual and motor components, we used other paradigms for control, either with an identical visual stimulus (during central ®xation) or with a similar motor output, in terms of single visually or memory-guided saccades towards identical target locations. In contrast to triple-step saccades, these tasks require neither in-advanceprogramming of saccadic sequences nor spatial updating of target representations, but each saccade may be performed according to the target's retinal coordinates. So the direct comparison of triple-step and visually guided saccades should unveil cortical fMRI correlates of these speci®c cognitive demands of the triple-step task and should test the hypothesis that certain foci in the PPC are more involved or more active in this respect than other cortical areas (Dominey & Arbib, 1992; Heide et al., 1995; Colby & Goldberg, 1999). To control for the contribution of spatial working memory, we compared triple-step with single memory-guided saccades. Preliminary results have been published in abstract form (Heide et al., 1997). Methods Subjects and scanning procedures We examined six naive, healthy and nonstrabismic right-handed subjects, aged 27±41 years, with normal visual acuity and visual ®elds. All subjects gave their informed consent in written form, and the study was approved by the local ethics committee of the HeinrichHeine-University (DuÈsseldorf, Germany). Functional MR images of cerebral blood oxygen level-dependent signal changes (BOLD) were performed using a 1.5 Tesla Siemens `Vision' MRI system (SIEMENS Magnetom, Erlangen, Germany), equipped with echoplanar imaging (EPI) capabilities and standard radio frequency head coil for signal transmission and reception. Using a midsagittal scout image, 16 axial slice positions (0.1 mm interslice gap) were orientated in the anterior±posterior commissure plane covering the dorsal part of the brain above the temporal and occipital poles, thus not including primary visual cortex. The following sequences were used: gradient echoplanar imaging, TR = 3 s, TE = 66 ms, ®eld of view = 200 3 200 mm2, a = 90°, matrix size = 64 3 64, in-plane resolution = 3.125 3 3.125 3 4 mm3. In addition, high-resolution anatomical images of the entire brain were obtained by using a strongly T1-weighted gradient echo pulse sequence (fast low-angle shot) with the following parameters: TR = 40 ms, TE = 5 ms, a = 40°, 1 excitation per phase encoding step, ®eld of view = 25 cm, matrix size = 256 3 256, 128 sagittal slices with 1.25 mm single slice thickness. For each experiment, the protocol consisted of six cycles, alternating between activation and control conditions. Each condition lasted for 24 s, thus each cycle for 48 s, and one complete experiment for 288 s. The respective fMRI data were stored in 96 volume image ®les, each containing 3 s of recording. Visual stimuli and behavioural tasks For visual stimulation, a red laser spot (diameter 0.5°, luminance 23.1 cd/m2, background luminance < 0.02 cd/m2) was projected to a screen that was shown to the subjects by a mirror, positioned within the head coil 15 cm above the eyes. The target task was a triple-step stimulus (Fig. 1A), which is an extension of the double-step stimulus, designed to achieve higher levels of cortical activation, and has also been applied in monkey experiments (Tian et al., 2000). It started with the presentation of a central ®xation point. After 1.5 s, three peripheral targets of different horizontal eccentricities (5°, 7°, 8° or 10°) were ¯ashed successively for 265, 235 and 200 ms, respectively, in a pseudorandomized order. Target locations in the right and left visual hemi®elds were alternated and equally distributed within the whole sample of trials, thus excluding a directional or hemi®eld bias that might contaminate hemispheric lateralization. Subjects were instructed to maintain central ®xation during target presentation and to memorize the locations of the three targets. After a delay of 500 ms following the extinction of the third target, the ®xation point disappeared, and three saccades had to be performed in darkness towards these remembered locations in the correct order. After 3.3 s, the central ®xation point reappeared to start the next trial. Thus, altogether, each triple-step trial lasted for 6 s, and one activation condition (24 s) consisted of four different triple-step sequences. Three tasks served as control conditions without saccades: rest in darkness, ®xation of a central laser spot and central ®xation during triple-step stimulation, requiring the suppression of visually triggered re¯exive saccades to the targets. Three further control conditions implied the execution of saccades (Fig. 1), namely visually guided saccades, single memory-guided saccades, and self-paced saccades in darkness. The ®rst two of these tasks were identical to the triple-step task in terms of motor output: they led to the same number and sequence of saccades. In the visually guided task (Fig. 1B), target steps occurred every 1.5 s, with pseudorandom amplitudes. In the single memory-guided task (Fig. 1C), a single target was ¯ashed for 200 ms. After a delay of 500 ms following the extinction of the ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 Functional MRI of triple-step saccades 1179 Data analysis FIG. 1. Oculographic records during the saccade tasks in one of the subjects. In each example, the upper trace plots horizontal eye position (right eye, recorded with infrared re¯ection oculography outside the MRI scanner), the lower trace plots horizontal target position. Upward de¯ection means rightward deviation, ranging between 0° and 10° of visual eccentricity, downward de¯ection means leftward deviation, respectively. On the abscissa, time is plotted in milliseconds. (A) One sequence of triplestep saccades, with target positions of 10° right, 8° left and 5° right. After 6 s the central ®xation point reappears to start the next sequence. (B) Analogous sequences of visually guided saccades and (C) of single memory-guided saccades, with target positions identical to those in A. target, the ®xation point disappeared and a saccade had to be performed to the memorized target location in darkness. Two seconds after the start of the trial, the target reappeared and served as a ®xation point for the next trial. Self-paced saccades were alternating horizontal saccades of about 25° amplitude and a frequency of about 0.5±1.0 Hz, executed in darkness from the imagined left edge of the screen to its right edge and backwards. In all these tasks, each activation or control condition lasted for 24 s and was composed of four blocks of trials each lasting 6 s. Before each measurement, at least one cycle of the respective task was presented for practice. Performance was controlled by infrared re¯ection oculography (Fig. 1) outside the scanner prior to the experiments. In addition, a qualitative assessment of the subjects' eye movements was obtained by electro-oculographic recordings during fMRI measurements. For further control of subjects' ®xation behaviour inside the MRI scanner, we performed an additional fMRI experiment where the active condition consisted of central ®xation and the control condition of rest in darkness. As there was no signi®cant activation of any of the cortical saccade areas, not even of the frontal eye ®elds, we took this as a con®rmation that ®xation must have been fairly stable. Image analysis was performed on an SPARC II work-station (Sun Microsystems, Palo Alto, CA, USA) using MATLAB (Mathworks Inc., Natiek, MA, USA) and statistical parametric mapping (SPM96b, Wellcome Department of Cognitive Neurology, London, UK; Friston et al., 1994a, b, 1995a, b, 1997). First, the 96 volume images of each condition were automatically realigned to each tenth image to correct for head movement between scans (Friston et al., 1995a, 1997). Then the images were coregistered and transformed into a standard stereotactic space using the intercommissural line as the reference plane for transformation (Talairach & Tournoux, 1988). For the normalization procedure pixels were slightly smoothed to achieve isotropic voxels representing 4 3 4 mm2 in the x- and y-dimensions, with an interplanar distance of 4.4 mm. The effects of global volume activity and time were removed as confounds, using linear regression and sine/cosine functions (up to a maximum of 2.5 cycles per 75 scans). Removing the latter confounds corresponds to high-pass ®ltering of the time series to remove low-frequency artefacts, which can arise due to aliased cardiac and other cyclical components. In order to present the overall pattern of activation across subjects, the stereotactically transformed data sets from each subject were smoothed slightly by a Gaussian ®lter (root mean square radius of 4 mm) to compensate for individual variation in brain anatomy (Steinmetz et al., 1990). The alternating periods of `baseline' and `activation' were modelled using a simple delayed box-car reference vector accounting for the delayed cerebral blood ¯ow after stimulus presentation. Signi®cantly activated pixels were searched for by using the `General Linear Model' approach for time-series data suggested by Friston and colleagues (Friston et al., 1994a, b, 1995a, b, 1997; Friston, 1995; Poline et al., 1995; Worsley & Friston, 1995). Therefore we de®ned a design matrix comprising contrasts that tested for signi®cant activations during each task separately (tests for simple main effects). With these data group-activation maps were calculated by pooling the data for each condition across all six subjects. Only pixels passing a height threshold of Z = 2.33 (P < 0.01; degrees of freedom corrected for correlation between adjacent time points) and a cluster of at least 10 voxels (P < 0.05 for spatial extent, corrected for multiple comparisons) were considered as signi®cant. Only for intertask comparisons, e.g. triple-step saccades vs. visually guided saccades, where the change in MR signal intensity was expected to be much lower than in saccade tasks controlled vs. ®xation, the height threshold was set to Z = 1.64 (P < 0.05) for each voxel. These thresholds appeared reasonable on the basis of prior fMRI studies in this and other labs (Petit et al., 1997; Binkofski et al., 1998). They were de®ned a priori and used in all experiments for the analysis of both individual and group data. The activated voxels surviving this procedure were superimposed on `SPM-brain-projections' and on high-resolution, MR-anatomical scans. With the aid of published Talairach-coordinates (Roland & Zilles, 1996) and prominent sulcal landmarks of each individual brain (precentral, superior frontal, central, postcentral, intraparietal, cingulate and parieto-occipital sulcus), clusters of activated voxels were assigned according to their centre of mass activity to the following regions of interest in each hemisphere: posterior parietal cortex, primary sensorimotor cortex, posterior and anterior cingulate cortex, lateral and medial premotor cortex (including the FEF and the SEF). For these clusters we determined the numbers of signi®cantly activated voxels, as well as mean signal intensity changes relative to baseline (Z-values) of the voxels showing peak activation in each region of interest. If there were several foci of peak activation within one region of interest, we will mention only those voxels that are separated by a distance of at ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 1180 W. Heide et al. TABLE 1. Behavioural data: latencies and accuracies of saccades TRS VIS MEM Latency (ms) (for TRS: intersaccadic interval) 1st saccade 376 6 196 167 6 33 2nd saccade 439 6 202 161 6 24 3rd saccade 423 6 96 148 6 28 314 6 109 305 6 115 325 6 125 Amplitude gain 1st saccade 2nd saccade 3rd saccade 0.89 6 0.05 0.90 6 0.04 0.88 6 0.03 0.73 6 0.12 0.68 6 0.13 0.71 6 0.07 0.3° 6 0.1 0.2° 6 0.1 0.3° 6 0.2 1.2° 6 1.6 1.6° 6 1.6 1.9° 6 0.3 0.96 6 0.13 0.91 6 0.12 0.90 6 0.11 Error of ®nal eye position (°) 1st saccade 1.7° 6 1.6 2nd saccade 3.9° 6 3.0 3rd saccade 2.6° 6 0.9 Data are presented as means 6 SD. TRS, triple-step saccades; VIS, visually guided saccades; MEM, single memory-guided saccades. least 8 mm and that reach a Z-value of at least 4.0 (P < 0.0001) for tasks controlled against ®xation, and of at least 3.09 (P < 0.001) for intertask comparisons. We also determined Brodmann's areas (BA) that were most probably involved. Results Behavioural data Table 1 summarizes the behavioural data of saccadic performance recorded with infrared re¯ection oculography outside the scanner. Latencies of visually guided saccades were around 160 ms, as subjects performed a considerable amount of re¯exive saccades with latencies below 150 ms (37% on average). In contrast, latencies of memory-guided saccades were much longer, often exceeding 300 ms, and intersaccadic intervals of triple-step saccades were above 400 ms. Concerning saccadic accuracy, visually guided primary saccades usually undershot the target by about 11% (their gain being 0.89 on average), which can be attributed to their relatively short latencies. Target position was reached by means of a corrective saccade so that the error of ®nal eye position was almost 0° (below 0.3°, which re¯ects just the inaccuracy of the recording procedure). In contrast, due to their generation without visual feedback, the accuracy of triple-step saccades and single memory-guided saccades was much lower in terms of a higher standard deviation of their gain (ranging around 6 0.12) and a signi®cantly higher error of ®nal eye position (around 1.6°). The latter was maximal after the second and third saccades of the triple-step sequence (on average 3.9° and 2.6°, respectively), probably re¯ecting the fact that in contrast to singlememory-guided saccades, their spatial programming could not rely on retinotopic information, but had to use extraretinal information (efference copy) to update the spatial representation of the second and third targets. In addition, primary saccades in the single memoryguided task were more hypometric than in the visually guided task, whereas primary saccades in the triple-step task were quite often hypermetric. These ®ndings are in accordance with previous studies using the double-step task (Duhamel et al., 1992a; Heide et al., 1995). Functional MRI data Distributed frontoparietal networks of areas were activated by each of the saccade tasks. We will mention only those foci of activation whose reliability and statistical signi®cance was con®rmed by group analysis using SPM. Although we used common statistical limits, small foci of weaker activation might have been missed. The procedure of normalization, smoothing, and coregistration across subjects degrades anatomical precision. Nevertheless most foci of activation in the population data were circumscript, distinct and reliable across different tasks, and their location corresponded exactly to recent high-resolution fMRI studies using individual and group analysis (Luna et al., 1998; Berman et al., 1999). Due to the ®eld of view limits of our MRI sequences, our study was restricted to the dorsal parts of the cerebral hemispheres. Triple-step saccades vs. ®xation The performance of triple-step saccades, compared with pure central ®xation (without peripheral visual stimulation) as control condition, yielded signi®cant activations in the regions of the key areas (cortical `eye ®elds') known to be involved in the generation of saccades (Figs 2A and 3; Table 2, upper part), i.e. the FEF of both hemispheres, the left SEF and several distinct regions of the posterior parietal cortex (PPC). Further foci of activation were found bilaterally in the lateral premotor cortex (PMC), ventral and slightly anterior to the FEF (more than 12 mm apart), along the inferior portion of the precentral sulcus, at the border between BA6, 44, and 9 (for Talairach coordinates see Table 2). It is remarkable that there was no signi®cant activation of the PFC in any of these tasks. Lateral premotor activation in the region of the FEF showed two distinct peaks in each hemisphere located more than 10 mm apart. In accordance with previous reports (Paus, 1996; Petit et al., 1996; Luna et al., 1998; Berman et al., 1999) one of these peaks (called `sFEF' in Table 2) was centred around the superior portion of the precentral sulcus and its posterior bank, extending dorsally towards the posterior end of the superior frontal sulcus (as shown in Fig. 2A). The second peak was located more ventrally and laterally, centred around the middle portion of the precentral sulcus (called `iFEF' in Table 2). Both FEF foci were located in BA6. Anatomical analysis in each individual subject demonstrated that they were more or less restricted to the precentral sulcus and the lip of the precentral gyrus. Activation of medial premotor cortex centred on the left anterior BA6 on the dorsomedial wall of the hemisphere, where the human homologue of the SEF (as de®ned in the monkey) has been allocated in most recent fMRI studies of high spatial resolution (Luna et al., 1998; Berman et al., 1999; Grosbras et al., 1999; Petit & Haxby, 1999), anterior to the paracentral sulcus and superior to the cingulate sulcus. In most of their subjects these authors located the peak of SEF activation posteriorly to the anterior commissure line, thus with negative y-coordinates. In contrast, the medial premotor activation in our experiment peaked at a positive y-coordinate of +4, but extended far more posteriorly, beyond the anterior commissure line, and thus within the region of the SEF. The discrepancy of y-coordinates could be due to intersubject variability. Alternatively, the peak of activity at y = +4 could re¯ect a distinct area anterior to the SEF, which might be named `preSEF', analogous to the `preSMA' (Hikosaka et al., 1996; Petit et al., 1996; Grosbras et al., 1998), which has been reported to be located anterior to the classical supplementary motor area (SMA) called `SMA-proper'. In this experiment we observed no distinct peak of activation in the region of the corresponding `SEFproper' (with negative y-coordinates), but only when triple-step saccades were compared with central ®xation during triple-step visual stimulation as control condition (Table 2, lower part). There the population analysis revealed two signi®cant peaks of activity in each hemisphere. Their distance of 14 mm towards each other is suf®cient to assume two distinct foci of activation, possibly corresponding to the preSEF and the SEF-proper. So we have attributed the medial premotor activity in all our experiments to either the preSEF or the ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 Functional MRI of triple-step saccades 1181 FIG. 2. Activation maps (group statistics, SPM 96) during the performance of triple-step and visually guided saccades. (A and B) Triple-step saccades, relative to central ®xation. The sections are centred (A) in the region of the left superior FEF (sFEF; Talairach coordinates of the voxel with peak activation: x, y, z = ±32, ±8, 52) and (B) in the right PPC (20, ±72, 52). (C) Visually guided saccades, relative to central ®xation. Sections are centred in the region of the left SEF and preSEF (±4, 4, 48). (D) Triple-step saccades, relative to visually guided saccades. Sections are centred in the right IPL (44, ±48, 36). FEF, frontal eye ®eld; sFEF/iFEF, superior and inferior portion of the FEF; SEF, supplementary eye ®eld; preSEF, presupplementary eye ®eld; PMC, premotor cortex; ACc, caudal part of the anterior cingulate cortex; mIPS, middle portion of the intraparietal sulcus (IPS); IPL, inferior parietal lobule; SPL, superior parietal lobule; MP, medial posterior parietal region, extending into the precuneus (Prec.); ®xation 0, central ®xation without peripheral visual stimulation; ®xation N, central ®xation during triple-step visual stimulation. SEF itself, but we admit that this distinction remains hypothetical and cannot be proven de®nitely by our data, as SEF activation exhibits interindividual variability particularly in anterior±posterior direction. In the posterior parietal cortex (PPC), the triple-step task activated several regions, with right-hemispheric dominance, most of them centred along the IPS in each individual subject. When the control condition was central ®xation without peripheral visual stimulation (Table 2, upper part), these regions comprised the lateral bank of the middle portion of the IPS, extending into the inferior parietal lobule (IPL), further towards the medial bank of the posterior portion of the IPS, extending into the superior parietal lobule (SPL), and the posterior-most portion of the medial PPC (MP/Prec.), including the dorsal precuneus, adjacent to the parieto-occipital sulcus (Fig. 2B). Within these three parietal regions of interest, there were ®ve distinct clusters of activation in the left hemisphere, and six distinct clusters in the right hemisphere (Fig. 3; Table 2): two of the latter were located in the SPL, one of them in the posteromesial PPC (MP/Prec.), and three of them along the IPS, one in its posterior portion and two ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 1182 W. Heide et al. TABLE 2. Triple-step saccades vs. ®xation: clusters and foci of signi®cant activation (P < 0.01) Left hemisphere Region of interest n x Right hemisphere y z Z Location BA Triple-step saccades vs. central ®xation without peripheral visual stimulation Lateral premotor 139 ±32 ±8 52 6.26 sFEF ±48 ±4 40 7.39 iFEF ±48 4 28 5.62 PMC Medial premotor 71 ±8 4 48 7.51 (pre)SEF PPC 123 ±40 ±44 40 3.88 mIPL ±32 ±56 56 6.99 IPS/SPL ±20 ±72 56 6.58 SPL/MP ±16 ±76 44 4.35 MP/Prec ±16 ±60 68 3.62 MP/Prec 6 6 6/44 6 7 > 40 7 > 40 7 7 7 Triple-step saccades vs. central ®xation during triple-step visual stimulation Lateral premotor 144 ±32 ±8 56 7.14 sFEF ±44 ±4 44 7.58 iFEF ±48 4 28 6.01 PMC Medial premotor 52 ±4 4 48 5.76 preSEF ±8 ±4 60 4.96 SEF PPC 94 ±32 ±56 56 6.24 IPS/SPL ±20 ±72 56 6.85 SPL ±12 ±64 64 4.62 MP/Prec 6 6 6/44 6 6 7 > 40 7 7 n x y z Z Location BA 99 32 44 52 ±4 ±8 0 56 48 36 7.14 7.11 6.62 sFEF iFEF PMC 193 44 38 36 16 20 12 ±48 ±56 ±76 ±68 ±60 ±80 48 52 44 56 68 48 4.78 4.03 5.28 6.53 5.85 6.39 mIPS/IPL mIPS pIPS SPL SPL MP/Prec. 40 7/40 7/19 7 7 63 28 48 48 8 4 20 20 12 0 32 40 ±4 ±4 4 0 8 ±60 ±72 ±80 ±88 ±76 ±80 56 44 28 52 44 68 52 48 28 40 24 6.27 4.41 4.60 4.62 4.21 5.12 6.35 6.20 5.38 4.81 4.10 sFEF iFEF PMC SEF pSEF/ACc SPL SPL MP/Prec. Prec./Cu. pIPS/OC IPL/OC 6 6 6/44 6 6/32 7 7 7 7/19 7/19 39/19 210 6 6 6/9 n, numbers of voxels signi®cantly activated in each region of interest; x, y, z, Talairach coordinates (in mm) of the voxel showing peak activation in each cluster. Z, its Z-value; BA, Brodmann areas involved by each focus of activation. ACc, rostral part of the anterior cingulate gyrus; Cu, cuneus; sFEF/iFEF, superior and inferior portion of the frontal eye ®eld; IPL, inferior parietal lobule; IPS, intraparietal sulcus; mIPS, middle portion of the IPS; pIPS, posterior IPS; MP/Prec. medial posterior parietal region and adjacent dorsal precuneus; OC, lateral occipital cortex; PMC, lateral premotor cortex; Prec. precuneus; preSEF, presupplementary eye ®eld; pSEF/ACc, border between the ACc and the preSEF; SPL, superior parietal lobule. in its middle portion, extending towards its lateral bank into the adjacent IPL (BA40). The latter foci in the right IPS/IPL were speci®cally activated during triple-step saccades, but not during visually guided, single memory-guided or self-paced saccades (Fig. 3). When the control condition was central ®xation during triple-step visual stimulation (Table 2, lower part), triple-step saccades activated almost the same network of frontoparietal areas. As mentioned earlier, three additional foci were activated in the medial premotor region on the medial wall of the hemispheres, namely the region of left and right SEF-proper and of the right preSEF bordering the caudal portion of the anterior cingulate cortex (ACc). However, in contrast to central ®xation without triple-step stimulation as baseline condition, there was no signi®cant activation in the middle portion of the right IPS/IPL (Fig. 2B; Table 2). So this focus appears to be related to common features of the activation and control conditions, such as the triple-step stimulus itself or the required suppression of re¯exive visually triggered saccades towards the ¯ashed targets. Overall there was a prominent hemispheric asymmetry in this experiment, showing left hemispheric dominance for the lateral premotor areas (144 vs. 63 activated voxels) and right hemispheric dominance for the PPC (210 vs. 94 voxels; Table 2). Other saccade tasks When visually guided saccades were used as active condition and compared with central ®xation as control condition, a similar frontoparietal network was activated, though to a lesser extent than during triple-step saccades, re¯ected in lower numbers of voxels and lower Z-values. Foci of signi®cant activation (Fig. 2C; Table 3) were found in the superior and inferior portions of the FEF of both hemispheres, in the right lateral PMC, ventral to the FEF, in the region of the left preSEF, and in the PPC of both hemispheres, centred in the SPL and on the medial bank of the IPS. Another focus of activation located in the right precuneus did not reach statistical signi®cance (Z > 4.0) in this condition, but was activated much stronger in the memory-guided saccade tasks. In contrast to the triplestep task, there were no distinct peaks of activation in the regions of the SEF-proper, the right preSEF, and in the middle portion of the IPS or IPL (Fig. 3). When successive single memory-guided saccades were performed in the active condition and compared with central ®xation during peripheral visual stimulation (¯ashing of the saccade targets) as control condition (Table 4), the population data yielded foci of signi®cant activation in the inferior portion of the FEF (iFEF), in the right PMC, in the SPL bilaterally and in the right precuneus (MP/ Prec.), but not in the medial premotor region (SEF or ACc). Self-paced saccades, executed in darkness, with rest in darkness as control, activated the regions of the FEF and the ventro-anterior SEF bilaterally, and also the left and right ventrolateral PMC, the right ACc, and the left PPC (Fig. 3). Although the saccades were equally distributed across both horizontal directions and both hemi®elds, FEF activation was stronger in the left [two peaks at (28, ±8, 48), Z = 5.55, and at (±52, ±12, 44), Z = 7.88] than in the right hemisphere, where only the inferior portion of the FEF was activated [peak at (44, ±12, 44), Z = 7.91]. The peak of FEF activation during self-paced saccades was located 4±8 mm more posterior (within the precentral gyrus) than during the execution of visually guided or triple-step saccades. The ventrolateral PMC was activated bilaterally [peaks at (60, ±4, 32), Z = 6.51, in the left and at (56, ±4, 32), Z = 4.44, in the right hemispheres]. The premotor cortex on the medial wall was ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 Functional MRI of triple-step saccades 1183 FIG. 3. Task-dependent variability of cortical foci activated during the performance of visually guided saccades (vs. central ®xation), triple-step saccades (vs. central ®xation) and self-paced saccades (vs. rest in darkness). The respective voxels of peak activation (Z > 4.0) are plotted in Talairach space for each cluster of the population data. Compared with the coordinates in Tables 1 and 4, z-coordinates of the parietal foci were corrected for incongruency between Montreal Neurological Institute (MNI) templates and Talairach coordinates (Stephan et al., 1997) by subtracting 13 mm. For the sake of clarity, the right FEF is not shown in the sagittal plot (top left) and parietal foci not in the coronal plot (top right). The symbols for the different tasks are explained in the ®gure (lower right). For abbreviations see Fig. 2; pIPS, posterior portion of the IPS. TABLE 3. Visually guided saccades vs. ®xation: clusters and foci of signi®cant activation (P < 0.01) Left hemisphere Region of interest n x Lateral premotor 54 ±28 ±44 Medial premotor PPC 28 36 ±4 ±28 ±24 Right hemisphere y z Z Location BA n x ±8 ±8 52 44 4.36 5.59 sFEF iFEF 6 6 77 32 48 52 4 ±56 ±68 48 60 60 4.95 5.44 4.85 (pre)-SEF SPL SPL 6 7 7 28 20 [8 y z Z Location BA ±8 ±8 0 56 44 36 6.69 6.44 5.64 sFEF iFEF PMC 6 6 6/9 ±60 ±68 68 44 5.82 3.12 SPL MP/Prec. 7 7] For abbreviations see Table 2. Peak activation of the cluster in square brackets was not signi®cant in this study (Z = 3.12, thus remaining below the postulated limit of 4.0). activated bilaterally in the region of the preSEF, at its border to the cingulate cortex [peaks at (4, 8, 44) and (±4, 8, 44)], and more rostroventrally, in the right ACc (8, 12, 36). Posterior parietal activation was signi®cant in the left hemisphere, showing three foci along the IPS, namely on its lateral bank (IPL) at (±40, ±52, 48), Z = 4.14; on its medial bank (SPL) at (±32, ±60, 56), Z = 6.29; and around its posterior end at (±24, ±72, 48), Z = 4.8. Triple-step saccades vs. other saccade tasks In order to delineate patterns of activity that might be related to speci®c aspects of the triple-step task, we used the other saccade tasks as control conditions. This reduced not only the number of activated regions, but also their spatial extent and their activation level (Table 5). With triple-step saccades, controlled vs. visually guided saccades (Fig. 2D), there was no activity in the PMC, SPL or precuneus, but signi®cant activation was found in the region of the FEF (its superior portion bilaterally and its right inferior portion), in the right and left ACc, further in the rostral portion of the right ACr, in the right ventral PFC (BA10) and in the right IPL (BA40). The latter activation overlaps with the ventral border of the focus in the right middle IPS/IPL, evoked during the performance of triple-step saccades vs. pure central ®xation (Table 2). It appears to be speci®c for the execution of triple-step saccades, in contrast to all other types of saccades investigated in this study. If single memory-guided saccades were used as control, the triplestep task activated the regions of the FEFs (its right superior portion and its inferior portion bilaterally), the left SEF and preSEF, the right ACc (BA24), and the right medial PPC and dorsal precuneus as the only parietal region. A focus in the right dorsolateral PFC (BA9/46) did not reach signi®cance. Discussion Saccade-related fMRI activations revealed the classical frontoparietal saccade areas, as de®ned in experimental studies: FEF, SEF and several areas in the PPC. Some of the tasks activated also the AC and, unexpectedly, the lateral PMC, ventral to the FEF (Fig. 4). No signi®cant activation was observed in the dorsolateral PFC. This is probably due to the fact that delay periods of memory-guided saccades did not exceed 0.5 s, which might be too short for activating ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 1184 W. Heide et al. TABLE 4. Single memory-guided saccades vs. ®xation: clusters and foci of signi®cant activation (P < 0.01) Left hemisphere Region of interest n x Lateral premotor 43 ±44 PPC 28 ±32 Right hemisphere y z Z Location BA n x ±8 48 6.10 iFEF 6 88 44 48 48 ±56 60 4.84 SPL 7 71 24 12 y z Z Location BA ±8 0 8 48 48 24 5.43 5.6 4.7 iFEF iFEF/PMC PMC 6 6 6/44 ±72 ±80 52 48 5.54 6.08 SPL MP/Prec. 7 7 For abbreviations see Table 2. TABLE 5. Triple-step saccades vs. other tasks: clusters and foci of signi®cant activation (P < 0.05) Left hemisphere Region of interest n x y Triple-step saccades vs. visually guided saccades Lateral premotor, prefrontal 12 ±28 Medial premotor 15 Right hemisphere ±4 z Z Location ±8 52 3.43 sFEF 12 32 4.37 ACc BA n x y z Z Location BA 6 12 24 10 36 44 32 4 4 44 ±4 ±4 48 8 20 ±48 52 44 0 40 28 36 3.95 3.52 3.21 3.85 3.42 3.11 sFEF iFEF PFC ACc ACr IPL 6 6 10 24/32 32 40 ±8 ±8 24 12 56 44 24 32 4.14 4.01 2.91 4.12 sFEF iFEF PFC ACc 6 6 9/46] 24 ±80 48 5.02 MP/Prec PPC 11 Triple-step saccades vs. single memory-guided saccades Lateral premotor, prefrontal 38 ±44 ±12 Medial premotor PPC 29 ±8 ±8 4 ±8 44 4.73 iFEF 6 59 48 48 5.17 3.65 preSEF SEF 6 [10 17 32 48 36 4 10 12 7 ACr/ACc, rostral/caudal anterior cingulate gyrus; PFC, prefrontal cortex. Peak activation of the cluster in square brackets was not signi®cant in this study (Z = 2.91, thus remaining below the postulated limit of 4.0). For other abbreviations see Table 2. the classical areas controlling spatial working memory (Funahashi et al., 1993; Brandt et al., 1998). Each of the saccade tasks activated similar networks of cortical areas. Nevertheless, the activation patterns in the different tasks and task-control comparisons (Table 6) reveal some clear task-related dissociations that have implications for the cortical representation of saccade-related subfunctions and will be outlined in the following sections. Posterior parietal cortex and the representation of spatial transformations In congruence with the fMRI study by Luna et al. (1998), we found three main regions of saccade-related activation in the PPC: the lateral bank of the middle portion of the IPS (IPL), the medial bank of the posterior IPS (SPL), and the precuneus. Similar foci were activated by covert shifts of visuospatial attention (Nobre et al., 1997; Corbetta et al., 1998; Gitelman et al., 1999; Kastner et al., 1999; Nobre et al., 2000). Accordingly, neurons of area LIP in macaque monkeys respond not only in association with saccades to visual or remembered targets, but also with the allocation of an attentional vector to behaviourally relevant or salient objects in their visual receptive ®elds (Goldberg et al., 1990; Colby et al., 1996; Colby & Goldberg, 1999) and with the intention to perform a saccade to this spatial location (Andersen, 1995; Andersen et al., 1997). When the visual stimulus was spatially dissociated from the saccade goal in the antisaccade task, the presaccadic activity of most LIP neurons encoded the location of the visual cue, rather than the direction of the upcoming saccade (Gottlieb & Goldberg, 1999). However, it is improbable that parietal activations in our fMRI study re¯ect merely attentional shifts, as there were distinct activation patterns in the different saccade tasks. Visually guided saccades activated only the SPL, triple-step saccades all three regions bilaterally, more in the right hemisphere, which re¯ects right-hemispheric dominance for visuospatial and attentional processes involved in this task. In contrast, self-paced saccades activated only the left PPC. Our ®ndings demonstrate the existence of multiple saccade areas (`eye ®elds') in the human PPC, similar to macaques (Thier & Andersen, 1998). It is dif®cult to decide which of the parietal foci corresponds to macaque area LIP. According to the pioneering fMRI study by MuÈri et al. (1996), it should be the focus in the middle portion of the IPS. However, this area was not signi®cantly activated during visually guided or memory-guided saccades, but only during triple-step saccades. Therefore it cannot be related to the execution of saccades in general, nor to the allocation of visuospatial attention, nor to spatial working memory, but it must re¯ect some speci®c cognitive demand of the triple-step task. It was the only parietal focus that remained activated in the critical intertask-comparison (triple-step vs. visually guided saccades). Its location in caudal BA40 at the lateral bank of the IPS and its right-hemispheric dominance correspond to the common overlap of circumscribed parietal lesions that led to an impaired spatial performance of double-step saccades in stroke patients (Heide et al., 1995). As outlined earlier, these patients have de®cits in using efference copy signals to update the retinotopic representation of saccade targets in order to compensate for eye ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 Functional MRI of triple-step saccades displacement associated with a preceding saccade in contralesional direction. We therefore assume that activation of this area during triple-step saccades re¯ects the processing of these spatial transformations, as postulated for LIP neurons in monkeys, according to evidence from single neuron (Goldberg et al., 1990; Duhamel et al., 1992a; Andersen et al., 1997) and simulation studies (Droulez & Berthoz, 1991; Dominey & Arbib, 1992). The latter have proposed network models where the respective neurons (e.g. of area LIP) are components of a `sensor-related' map in which the locations of possible saccade targets are stored (memorized) with respect to current eye position (i.e. in retinotopic coordinates). Each time the eye direction changes the map is updated as neurons shift their spatial target representations in the direction of eye displacement. Our human data support the assumption that this dynamic remapping of FIG. 4. Schematic lateral and medial surfaces of a human brain, with cytoarchitectonic Brodmann areas of the premotor and parietal cortices. The scheme shows the network of cortical areas involved in the control of sequences of memory-guided saccades. The numbers indicate Brodmann areas. The SEF, ACr/ACc and precuneus are located on the medial wall of the hemisphere. ACr, rostral part of the anterior cingulate gyrus; mIPS, middle portion of the intraparietal sulcus (lateral bank) and the adjacent inferior parietal lobule; MP, medial posterior parietal cortex and dorsal precuneus; M1, primary motor cortex; CS, central sulcus; CMAr/CMAc, rostral and caudal part of the cingulate motor area. For other abbreviations see Fig. 2. 1185 receptive ®elds might take place in the human homologue of LIP within the PPC. However, the mechanism of this remapping remains unclear. Neuronal responses with evidence for remapping during double- or triple-step saccades were also found in the FEF of monkeys (Umeno & Goldberg, 1997; Tian et al., 2000). They might receive this information from LIP, but on the other hand, there is experimental evidence from colliding saccade studies (Dominey et al., 1997) that the de®nite neuronal compensation for an intervening saccadic eye displacement takes place downstream from the FEF, probably in subcortical structures, such as the cerebellum, and appears to be accomplished by subtraction of a damped signal of the change in eye position, in order to compensate for sensorimotor transmission delays. Consequently, these authors speculate that cortical remapping mechanisms (e.g. in LIP) might be different, possibly achieving compensation for an eye displacement by taking into account allocentric cues that are provided by a consecutive presentation of double- or triple-step visual targets without a temporal gap. As this was the case in our studies, we cannot exclude this interpretation, but we consider it improbable, as in cases of parietal lesions the de®cit was not spatiotopic, i.e. it could not be described in allocentric or egocentric coordinates. Rather it was dependent on the direction of eye displacement (motor vector) during the ®rst saccade, indicating that this information is not adequately provided by efference copy signals to update the spatial representation of the second saccade goal (Duhamel et al., 1992b; Heide et al., 1995). The importance of the focus in the right mid-IPS for spatial transformations during visuomotor tasks is supported by numerous other functional imaging studies (Dieterich et al., 1998; Goebel et al., 1998; Vallar et al., 1999; Harris et al., 2000). Surprisingly, this focus was not activated in our study when the triple-step stimulus appeared in the control condition, during central ®xation. Therefore its activation might be in¯uenced by the suppression of visually triggered saccades towards the triple-step targets (Law et al., 1977) or by the triple-step stimulus itself. It could re¯ect the coding of stimulus shape (Sereno & Maunsell, 1998) or the spatial representation of its trajectory. Such a relationship would be in line with recent PET and fMRI studies where imagery of visually guided ®nger movements or of graphomotor trajectories activated the same site in the middle IPS (Seitz et al., 1997; Binkofski et al., 2000). According to fMRI and lesion data (Binkofski et al., 1998), the anterior IPS is a critical site for the control of grasping visual objects and therefore is likely to contain the human homologue for macaque area AIP (anterior intraparietal), located anterior to LIP. Accordingly, the middle IPS may represent the LIP-homologue. As further support for this assumption, a PET study by Kawashima et al. (1996) revealed a reaching-related focus in the anterior IPS and a saccade-related focus adjacent to it, more posterior in the IPS. TABLE 6. Survey of cortical areas showing signi®cant activation during the different task-control combinations Task FEF PMC VIS ± FIX SP ± REST MEM ± FIX TRS ± FIX TRS ± VIS TRS ± MEM ++ ++ ++ ++ ++R > L ++ +R ++ +R ++ PFC +R* SEF/preSEF ACc +L(preSEF) ++(preSEF) +R ++L > R +L +R ++ +R ACr IPL/IPS +L +R ++ +R SPL/IPS MP/Prec. ++ +L ++ ++R > L +L +R ++ +R Upper part of table, tasks vs. central ®xation or rest; lower part, intertask comparisons. VIS, visually guided saccades; FIX, central ®xation; SP, self-paced saccades; REST, rest in darkness; MEM, single memory-guided saccades; TRS, triple-step saccades; PMC, ventrolateral premotor cortex; PFC, dorsolateral prefrontal cortex; ACr, rostral anterior cingulate gyrus; ACc, caudal anterior cingulate gyrus; MP/Prec. medial posterior parietal region and dorsal precuneus; + or ++, unilateral or bilateral activation; R, right hemispheric focus; L, left hemispheric focus. *Ventrorostral PFC. For other abbreviations see Fig. 2. ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 1186 W. Heide et al. Table 6 demonstrates coactivation of posterior parietal (posterior IPS and SPL) and lateral premotor areas (PMC) that was consistently observed in all saccade tasks employing visual stimulation. This is in agreement with the parieto-premotor network, as proposed for covert shift of visuospatial attention (Corbetta et al., 1998; Gitelman et al., 1999; Nobre et al., 2000) and for visuomotor control, subserving the gradual transformation of extrinsic visuospatial information about target location and movement trajectory into limb-centred motor commands (Rizzolatti et al., 1997). The activation in the dorsal precuneus with its location at the anterior bank of the parietooccipital sulcus corresponds anatomically to area V6A [parietooccipital (PO)] of macaque monkeys. In this visual area neurons encode post-saccadic eye position and the spatial location of visual targets for arm and eye movements in nonretinotopic coordinates (Galletti et al., 1997; Nakamura et al., 1999). Alternatively, the focus in the precuneus could be the homologue of the medial parietal eye ®eld (MP; Thier & Andersen, 1998). In humans the right dorsal precuneus is also activated during covert attentional shifts and during visuomotor sequence learning (Sakai et al., 1998). So this activation does not appear to be saccade-speci®c, but involved in supramodal encoding of space for visuomotor control. Frontal eye ®elds In the lateral premotor region, our data showed three distinct clusters of activation around the precentral sulcus. The most ventral focus is located clearly outside the FEF in the ventrolateral PMC. The two dorsal clusters coincide with the assumed location of the human FEF (Paus, 1996), centred around the precentral sulcus and the adjacent portion of the precentral gyrus, within BA6, with z-coordinates ranging between 44 and 51 mm. The existence of two distinct foci of FEF activation (sFEF and iFEF) has recently been reported by PET (Petit et al., 1996) and fMRI studies (Petit et al., 1997; Luna et al., 1998), which corresponds exactly to our data, including the Talairach coordinates. Depending on the saccadic paradigm, we found variabilities in the location of peak FEF activation (Fig. 3): internally triggered self-paced saccades led to a slightly more posterior (y = ±12) and inferior activation than visually guided or triple-step saccades (y = ±4 or ±8), as in previous PET studies on self-paced saccades (Petit et al., 1993, 1996; Law et al., 1998). This effect might be attributed to the larger amplitude of self-paced saccades, as largeamplitude saccades led to a more ventrolateral activation in all previous studies (Paus, 1996). Functionally, FEF activation in our study re¯ects the execution of saccades in general, as it was not activated during visual ®xation, but in each of the saccade tasks. The intertask comparisons show that FEF activation was stronger in the triple-step and self-paced tasks than during externally triggered saccades (visually guided or memory-guided). This con®rms the clinical and experimental evidence (Pierrot-Deseilligny et al., 1995; Hanes & Schall, 1996; Heide & KoÈmpf, 1998) that the FEF predominantly controls internally generated intentional saccades. Additionally it appears to be involved in generating sequences of memory-guided saccades, at least the right sFEF, that was not activated during self-paced saccades, but during triple-step saccades, even in the intertask comparisons (Table 5). A similar activation was reported by Petit et al. (1996) in their PET study on prelearned saccadic sequences. It could re¯ect the triggering of such sequences as well as the spatial computations needed for their spatial accuracy, as the saccade-related efference copy signal has been shown to be represented in FEF neurons of macaques (Goldberg & Bruce, 1990; Umeno & Goldberg, 1997; Tian et al., 2000), not only in LIP neurons. However, according to the results of lesion studies in rhesus monkeys (Schiller & Sandell, 1983) and human stroke patients (Heide et al., 1995), FEF lesions did not impair the ability to compensate for a presaccadic eye displacement caused by either electrical stimulation of the superior colliculus (in monkeys) or during the double-step task, leaving the spatial accuracy of double-step saccades rather intact. Thus in contrast to the PPC, the FEF is not essential for the spatial updating of saccade goals by the use of extraretinal information (efference copy). Ventrolateral premotor cortex Outside the FEF, along the inferior portion of the precentral sulcus, the ventrolateral PMC was activated during all tasks of this study, with right hemispheric dominance. This has never been reported in relation with saccades. PMC activation disappeared in the intertask comparisons, like parietal foci in the SPL. Thus it might re¯ect general saccade-related or mere attentional processes, as these foci were also activated during covert attentional movements (Gitelman et al., 1999; Nobre et al., 2000). Within the ventrolateral PMC of monkeys, an oculomotor area has recently been identi®ed by intracortical microstimulation (Fuji et al., 1998), evoking goaldirected saccades, in contrast to the FEF. We might have found its human homologue. Together with the surrounding PMC, it seems to coordinate saccadic commands with attentional, visuospatial and skeletomotor information for goal-directed motor tasks, e.g. the manipulation of complex objects (Binkofski et al., 1999). Thus the PMC works on a higher level of sensorimotor integration than the FEF, as part of a parieto-premotor network for visuomotor control, which transforms extrinsic visuospatial information about target location and movement trajectory into limb-centred motor commands (Rizzolatti et al., 1997; Vallar et al., 1999). For skeletomotor activities the dorsolateral PMC was shown to be involved in the processing of cue-related motor behaviour (Halsband & Freund, 1990; Halsband et al., 1993). Supplementary eye ®elds and cingulate cortex Schlag & Schlag-Rey (1987) were the ®rst to describe the SEF and its neuronal properties in nonhuman primates. In our fMRI study most saccade tasks activated a premotor region at the dorsomedial wall of the frontal lobe, close to the paracentral sulcus and superior to the cingulate sulcus, which corresponds to the assumed location of the human SEF (Petit et al., 1996; Luna et al., 1998; Grosbras et al., 1999). Visually guided saccades activated the anterior portion of the left SEF, that might be classi®ed as `preSEF'. It should be noted, however, that up to now there are no data supporting the existence of a separate preSEF in nonhuman primates. The human preSEF was proposed to be located rostral to the anterior commissure line (ycoordinate > 0), the SEF-proper directly caudal to it (y < 0; Grosbras et al., 1998). Only the triple-step task evoked a distinct peak of activity in the region of the SEF-proper. As there was no SEF activation during single memory-guided saccades, but only during memory-guided sequences, this activity appears to be related to visuomotor sequence learning. In line with other imaging studies on this subject (Hikosaka et al., 1996; Kawashima et al., 1998; Sakai et al., 1998) we found evidence for a functional dissociation. The preSEF, like the preSMA in other studies, was activated whenever new sequences were presented or had to be planned or memorized, whereas the SEF-proper was activated only during the execution of memorized sequences in the triple-step task. This interpretation is consistent with single-neuron data in monkeys (Nakamura et al., 1998) and with clinical studies (Gaymard et al., 1990; Heide et al., 1995), where patients with focal lesions of the left SMA/SEF were impaired in triggering memorized sequences of saccades. ã 2001 Federation of European Neuroscience Societies, European Journal of Neuroscience, 13, 1177±1189 Functional MRI of triple-step saccades The preSEF is also involved in triggering self-paced sequences of saccades in darkness (Petit et al., 1993, 1996), together with the adjacent caudal portion of the ACc. In our study, self-paced saccades and triple-step saccades activated just the border region between the preSEF and the ACc, centring around the cingulate sulcus, with right hemispheric dominance. It could re¯ect the self-initiation of saccades. Thus the right ACc appears to play an important role in the control of intentional saccades and might correspond to a `cingulate eye ®eld'. Lesions of this area impair the initiation and accuracy of internally generated intentional saccades (Gaymard et al., 1998). Another area in the right ACr, located anterior and ventral to the ACc, was activated only when triple-step saccades were controlled vs. visually guided saccades. This might re¯ect sustained attention and on-line monitoring of performance, as the ACr is part of the cortical network for visuospatial attention (Nobre et al., 1997, 2000; Carter et al., 1998). In summary, the present fMRI study is the ®rst to investigate cortical activation patterns during the performance of memorized triple-step saccades. In contrast to previous PET or fMRI studies on saccades, the combined use of several control conditions, either with identical visual stimulation or with identical motor output (visually guided or single memory-guided saccades), permitted some important conclusions on saccadic and cognitive subfunctions of the triple-step task. Each of these functions is represented in overlapping frontoparietal networks of multiple cortical areas, the exact homology of which still requires further research. For the ®rst time, an area in the right middle IPS was identi®ed that was congruent with the common lesioned area in parietal patients with dysmetric double-step saccades (Heide et al., 1995) and appears to be essentially involved in spatial transformations updating (remapping) spatial representations of saccade targets by the use of efference copy signals in order to compensate for a previous eye displacement, to achieve saccadic accuracy, and to maintain spatial constancy. This area is a putative homologue of monkey area LIP. Also frontal areas contribute to the processing of such saccadic sequences. FEF activation appeared to re¯ect the execution of saccades in general, ACc activation the execution of self-paced saccades, and SEF activation the execution (possibly the timing and triggering) of saccadic sequences. In contrast to most previous studies we found some evidence for a functional dissociation of activity along the rostrocaudal axis that may be divided in a SEF and a preSEF. Further, we were the ®rst to identify saccade-related activity in the right ventrolateral PMC that might integrate saccadic commands into the parieto-premotor network for visuomotor control. Abbreviations ACc, caudal anterior cingulate gyrus; ACr, rostral anterior cingulate gyrus; AIP, anterior intraparietal; BA, Brodmann area; BOLD, blood oxygen leveldependent signal changes; FEF, frontal eye ®eld: sFEF, superior portion; iFEF, inferior portion; fMRI, functional magnetic resonance imaging; IPL, inferior parietal lobule; IPS, intraparietal sulcus: mIPS, middle portion of the IPS; pIPS, posterior portion; LIP, lateral intraparietal area of the macaque; MP/ Prec., medial posterior parietal cortex and dorsal precuneus; PET, positron emission tomography; PFC, prefrontal cortex; PMC, premotor cortex; PPC, posterior parietal cortex; SEF, supplementary eye ®eld; SMA, supplementary motor area; SPL, superior parietal lobule; SPM, statistical parametric mapping. References Andersen, R.A. (1995) Encoding of intention and spatial location in the posterior parietal cortex. Cereb. Cortex, 5, 457±469. Andersen, R.A., Snyder, L.H., Bradley, D.C. & Xing, J. 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