Skip to content
naulon

No retraction, correction or concern found when last checked on Oct 17, 2026.

Space and the parietal cortex

Masud Husain, Parashkev Nachev

Trends in Cognitive Sciences · 2007 · Review · CC BY

doi:10.1016/j.tics.2006.10.011

Abstract

Current views of the parietal cortex have difficulty accommodating the human inferior parietal lobe (IPL) within a simple dorsal versus ventral stream dichotomy. In humans, lesions of the right IPL often lead to syndromes such as hemispatial neglect that are seemingly in accord with the proposal that this region has a crucial role in spatial processing. However, recent imaging and lesion studies have revealed that inferior parietal regions have non-spatial functions, such as in sustaining attention, detecting salient events embedded in a sequence of events and controlling attention over time. Here, we review these findings and show that spatial processes and the visual guidance of action are only part of the repertoire of parietal functions. Although sub-regions in the human superior parietal lobe and intraparietal sulcus contribute to vision-for-action and spatial functions, more inferior parietal regions have distinctly non-spatial attributes that are neither conventionally 'dorsal' nor conventionally 'ventral' in nature.

Full text

From PubMed Central, U.S. National Library of Medicine, as current on Oct 17, 2026. Paragraph numbers are ours, so an answer can point at one.

Introduction

Studies in monkeys originally led to the hypothesis that the dorsal visual stream of cortical pathways, extending from the primary visual cortex to the posterior parietal cortex (PPC), has a special role in spatial perception, whereas the ventral stream to the temporal cortex has a key role in object perception. Later, that view was challenged and revised to the proposal that the dorsal stream and PPC have a crucial role in directing visually guided actions. However, it is becoming increasingly apparent that both these models have difficulty in capturing some aspects of human parietal function. In particular, recent findings have begun to question a role for the human inferior parietal lobe (IPL) solely in spatial processes or in the visual guidance of action – ‘vision-for-action’.

Here, we review emerging trends in this field and suggest that a reconsideration of human parietal function is necessary. Close inspection of data from functional imaging and lesion studies reveals that parts of the human IPL are involved in functions that do not involve visually guided action, shifts of spatial attention or spatial memory. Instead, sub-regions within the IPL seem to be involved in the detection of salient new items embedded in a sequence of events and in maintaining or controlling attention over time. We start by considering the current unease that exists over human IPL function.

Current models of inferior parietal lobe function

In Goodale and Milner's view, the dorsal ‘vision-for-action’ system operates in real time to compute the absolute metrics of the target and its position in the egocentric co-ordinates of the effector (eye or limb). Thus, according to this scheme, the dorsal stream delivers information direct to the motor system for immediate use for reaching, grasping or eye movements. By contrast, the ventral stream is dedicated to ‘vision-for-perception’, but might have a role in movement planning based on memory of the object and its relationship to other items.

Such a distinction between dorsal and ventral systems is supported particularly clearly by the results of lesions of the human superior parietal lobe (SPL; Figure 1), which often lead to optic ataxia or misreaching to visual targets. The regions of the PPC that have proven far more difficult to fit into any dorsal–ventral dichotomy are the IPL and nearby temporoparietal junction (TPJ). Milner and Goodale acknowledged this from the outset; they speculated that these regions might be a high-level representational system fed largely by the ventral stream and subserving perceptual awareness. Their proposal would be consistent with some aspects of hemispatial neglect, a syndrome that often follows lesions of the IPL or TPJ, particularly in the right hemisphere. Individuals with neglect often fail to be aware of contralesional objects (to the left for individuals with right parietal damage), even when given unlimited time to explore the world around them.

A different perspective on the IPL has been offered by the scheme proposed by Rizzolatti and Matelli, who suggest that it might be better to consider the superior and inferior parts of the PPC as belonging to two different streams. According to this model, the SPL is part of a distinct ‘dorso-dorsal’ system dedicated to the online control of action, whereas the IPL is part of the ‘ventro-dorsal’ stream that is necessary for action understanding and spatial perception. This model originated from structural and functional considerations of the macaque brain but it has also been applied to the human PPC. In fact, it is possible that in the human brain, the ventro-dorsal system is different in the two hemispheres because deficits of action control (in the form of ideomotor apraxia) are more prominent after left-hemisphere lesions, whereas deficits such as hemispatial neglect are more frequent and severe after right parietal damage.

A third recent view of the PPC also makes a distinction between the SPL and more ventral regions in the PPC, specifically the TPJ, but this hypothesis concerns a dichotomy that incorporates visual-attention functions more directly. Corbetta and Shulman argue that the SPL and parts of the intraparietal sulcus (IPS) have a role in directing visual attention ‘top-down’ to locations or objects in the scene and in selecting responses of effectors (eye or limb). By contrast, the right TPJ acts ‘as a circuit breaker’, for example, by reorienting spatial attention when it has been deployed incorrectly. All these models provide important syntheses of a large body of data that has emerged from studies of monkey and human PPC, but there are other findings, which we consider later, that are still not easily incorporated into these frameworks.

Functional imaging reveals non-spatial functions

Neuroimaging investigations in humans have consistently demonstrated that parts of the SPL or IPS are activated by tasks such as shifting spatial attention, engaging spatial working memory, making saccadic eye movements or reaching to a visual target (Figure 2a). In addition, more recent reports have demonstrated evidence in SPL and IPS for topographical representations of contralateral space for saccades to remembered locations or in remapping spatial locations across saccades. Note that the SPL and IPS activations are often associated with simultaneous activity in the dorsolateral frontal lobe (Figure 2a), in accord with the view that the SPL is part of a dorsal frontoparietal system for directing spatial attention or action. Thus these neuroimaging findings regarding the SPL and parts of the IPS would be consistent with many aspects of current models of PPC function.

However, the results of several other functional imaging studies relating to the IPL and TPJ are very different. They demonstrate that these areas – and more ventral frontal regions – are consistently activated when healthy individuals perform non-spatial tasks (Figure 2b). They have been identified to be active when subjects maintain vigilant attention or when they are presented infrequently with unusual, salient stimuli in a repetitive stream, as in the ‘oddball’ paradigm, even when no spatial shifts of attention, eye or limb movements are required. Moreover, these effects occur in visual, auditory or somatosensory tasks and are therefore not modality specific. Some parietal areas in or near to the IPS, together with frontal regions, are also activated when healthy subjects perform non-spatial, selective attention tasks such as the attentional-blink protocol, a paradigm that allows measurement of the dynamic capacity of visual attention when stimuli are presented sequentially at one spatial location. Thus regions in the IPL, TPJ and parts of the IPS form a ventral frontoparietal circuit that seems very different from the dorsal one that is active in spatial perceptual, attentional, mnemonic or action tasks (Figure 2b).

These neuroimaging findings suggest both spatial and non-spatial functions are represented in the human PPC, but with a gradient extending from SPL through IPS to IPL of spatial to non-spatial functions and some intermediate regions in the IPS showing activation on both spatial and non-spatial tasks. Corbetta and Shulman's model proposes a slightly different dichotomy between superior and inferior parietal structures, with the TPJ involved in directing attention to salient events, for example, when observers have to redeploy attention to an unexpected peripheral stimulus. However, in our view, the IPL and TPJ also play a more general, non-spatial role in sustaining attention over time that is not captured by the Corbetta and Shulman model. New data from transcranial magnetic stimulation also support the view that this region might have a role in non-spatial encoding of salient stimuli, as do a range of findings from lesions of the human PPC, which we discuss next.

Hemispatial, spatial and non-spatial deficits

It has often been suggested that some components of neglect syndrome, the characteristic clinical disorder following right IPL damage, might best be understood using a spatial conceptual framework; for example, a lack of space exploration to one side of the body midline, to one side of the head axis or to one side of the direction of gaze. In fact, there is evidence for all three egocentric spatial reference frames modulating the extent of neglect. But the disorder need not be strictly hemispatial – that is, neglected and non-neglected space might not be demarcated by an abrupt plane that transects space in any egocentric coordinate frame.

Kinsbourne suggested instead that each hemisphere orients attention towards the opposite side of space, with a stronger ‘vector’ exerted by left-hemisphere systems. Hence a strong rightward directional bias would be expected after unilateral right parietal damage (because of unopposed left-hemisphere activity). The model predicts a gradient, rather than a sharp cut-off, in the distribution of visual attention from right to left – a proposal supported by findings of a gradient of response times to stimuli presented at different spatial locations in neglect patients. This model also shows that the unilateral nature of neglect might emerge from a directional bias in just one component of the syndrome; other components that contribute to neglect need not be directionally lateralized.

The key feature of Kinsbourne's directional theory is that it predicts hyperattention (i.e. better performance) to the right. By contrast, the hypothesis advanced by Heilman et al. is slightly different, suggesting that there might be some deficits on the right (‘good’) in addition to the left (neglected) side of space. The authors proposed that, although the right PPC might normally direct attention to both sides of space, the left PPC directs attention only to the right hemispace. One implication of this model is that right PPC damage might be associated with not only a severe deficit for items to the left, but also a milder deficit for stimuli to the right. Recent studies show that there are indeed deficits on the right side of space, but they are not necessarily milder than on the left.

Firstly, Duncan et al. have demonstrated reduced visual processing and short-term memory capacity, which can be equivalent in severity in left and right hemifields, in IPL patients who have varying degrees of neglect. Importantly, a subsequent study of non-neglect patients revealed that IPL- and TPJ-lesioned individuals were more severely affected than those with SPL involvement. Secondly, processing of visual information from the right visual field – but not the left – might be unselective, with information that is irrelevant to the task being inappropriately prioritized in neglect patients. Thirdly, attention to transient onsets and offsets of visual stimuli is disrupted bilaterally in right IPL patients. Fourthly, detection of briefly presented stimuli is impaired in both visual hemifields, but worse to the left. Finally, spatial functions such as keeping track of object locations over intervening saccades or awareness of changes in their location might all be severely disrupted in patients with right-IPL damage, even on the right side of space. All these studies show that damage to the right IPL might lead to deficits that are not confined to one hemispace.

Other investigations have revealed that parietal damage can lead to deficits on non-spatial tasks even when stimuli are presented at only one spatial location. The attentional-blink protocol, which we discussed previously in the context of functional imaging studies, has also been employed in patients to index the dynamic control of visual attention when stimuli are presented sequentially at fixation. These investigations have demonstrated that individuals with IPL lesions – including those with spatial neglect – are dramatically impaired in visual-processing ability, even when attention does not have to be shifted across space. By contrast, lesions of the SPL do not lead to attentional-blink deficits. A second series of studies has focused on tests of the ability to maintain vigilant attention. Resection of the right IPL leads to impairment in the ability to sustain visual attention over prolonged intervals. In addition, right-hemisphere neglect patients who have parietal involvement are also impaired at maintaining vigilant attention on non-spatial tasks, regardless of whether the stimuli are auditory or visual.

This wide range of findings makes it difficult to sustain a simple ‘spatial’ or indeed ‘hemispatial’ account for neglect. Instead, these results reveal that deficits occur on both sides of space in the syndrome; some of them might be spatial in nature, but evidently others are not. The data suggest that a combination of spatial and non-spatial impairments exists in neglect, and this might explain why it has been difficult to frame the syndrome in terms of any dorsal–ventral dichotomy (discussed in Ref. ).

Human and monkey parietal cortex might not be the same

Our review of the lesion and imaging data in humans suggests the SPL might have a key role in spatial functions and vision-for-action. We consider this part of the human parietal cortex to have strong similarities to the monkey PPC. By contrast, some regions within the human IPL have non-spatial functions that do not map easily to the ‘dorsal’ stream (see also Refs ). In fact, monkey parietal cortex might not be a complete model for the human PPC. In our opinion and that of Milner, there is no good evidence for a long-lasting and severe neglect syndrome in monkeys such as that seen in humans. Although parietal-cortex or white-matter damage in macaque monkeys leads to various impairments in contralateral space, there is no description of their everyday behaviour, in our view, that equals the profound deficits observed in humans by clinicians. Crucially, there is also no evidence for hemispheric differences for neglect-like symptoms in any monkey model, whereas in humans neglect is far more common and prominent after right-sided damage.

Second, although functional imaging, electrophysiological and tractography studies now point to several homologous regions across species, there are, in addition, regions of human PPC that seem not to have clear homologues in macaques. Comparative anatomy considerations suggest that the IPL has expanded greatly in humans compared with monkeys, particularly its posterior aspects – the angular gyrus and TPJ. Comparison of the relative difference in location between functionally homologous regions (e.g. the motion sensitive area V5/MT and primary auditory cortex) reveal a large expansion of the cortex between these areas in humans (Figure 3). The crucial question is whether this expansion is due to the evolution of new areas or simply duplication or enlargement of old ones.

To answer this question definitively will require converging evidence using several techniques, including perhaps comparative functional imaging. Two other approaches also show considerable promise. First, diffusion-weighted MRI tractography potentially allows homologies to be identified between parietal areas in human and monkey brain that show similar patterns of connectivity. Intriguingly, one recent innovative tractography study demonstrated that a portion of the IPL in humans might not have a clear homology to parts of the PPC in macaque monkeys, raising the possibility that this region might be a ‘new’ cortical zone in the human brain (Figure 3). The second method involves combining post-mortem structural imaging with the painstaking process of detailed cytoarchitectonic mapping. This technique has been used to identify a zone in the human posterior IPL that again seems not to have a direct homologue in the macaque brain.

Neither dorsal nor ventral: the human IPL

The findings discussed here raise several important issues. Both the imaging and lesion data suggest that the human SPL, together with parts of the adjoining IPS, have close homologies to the macaque parietal cortex. Thus these areas might be the equivalent of the target of a dorsal stream in monkeys. However, parts of the human IPL seem to be neither ‘dorsal’ nor ‘ventral’. They have non-spatial functions that are not related to object processing, as found in ‘ventral’ stream temporal cortical areas. Instead, they seem to have a role in detecting salient new items embedded in a sequence of events (as indexed by the ‘oddball task’) and maintaining or controlling attention over time (as measured by vigilance and non-spatial attentional paradigms).

This perspective of human parietal cortex also has important implications for understanding the neglect syndrome. Recent studies of the anatomy of neglect have been controversial (Box 1). Although the argument has often focussed on the contribution of single brain regions it is evident that most patients have large lesions that extend over several crucial areas. Moreover, the syndrome is heterogeneous, with different patients having different combinations of cognitive deficit. Many individuals with neglect have brain damage that spans the cortex of the SPL, IPS and IPL and the underlying white matter. Given what we know of the functions of these parietal regions, one would expect such damage to lead to a combination of spatial and non-spatial deficits in neglect patients, and this is exactly what has been found with careful testing using a battery of spatial and non-spatial tasks.

New experimental approaches to the neglect syndrome, using a combination of high-resolution anatomy and behavioural tests designed to assess spatial or non-spatial functions, have begun to show how the heterogeneity in the syndrome might be explained in this way. For example, those neglect patients who have posterior damage and a deficit in keeping track of spatial locations across saccades have lesions that include a small zone in the IPS. By contrast, neglect patients in which the posterior cortex is lesioned but this small area of the IPS is spared do not show this deficit. Similarly, lesions of the right TPJ – but not the SPL – lead to impairments in responding to rare, salient events such as when a target is presented at an unexpected location, whereas damage near the IPS is associated with interference from right-sided irrelevant distractors. The interaction of spatial and non-spatial factors, and the precise combination of these, might be crucial in determining the manifestations of neglect across different patients.

Concluding remarks

Current models of the parietal cortex have difficulties in capturing elements of human IPL function. Our review points to the conclusion that parts of the human IPL do not fit a role in spatial processing or vision-for-action, as might be assumed from considerations of the monkey PPC. Rather, some regions in the human IPL seem to participate in the detection of salient new items embedded in a rapid sequence of events and in maintaining or controlling attention over time. This view of parietal cortex can also accommodate findings that demonstrate both homologous and non-homologous sub-regions of parietal cortex in macaque monkeys and humans (Figure 3). Monkeys with parietal lesions might not demonstrate the full-blown neglect syndrome observed in humans because they do not have the complement of spatial and non-spatial deficits that are common following human lesions.

In addition, hemispheric differences between left and right IPL are an important feature of the human parietal cortex. Whereas right IPL and TPJ lesions commonly lead to neglect, damage to the homologous region in the left hemisphere in humans often leads to the syndrome of apraxia. However, some left IPL patients might also show evidence of right-sided neglect. Clearly, the precise distinctions in function between left and right IPL remain to be fully established (see Box 2 for Questions for future research). But it is evident that such substantial differences in function across the hemispheres has not been observed in monkeys, demonstrating the need to be cautious when making extrapolations from monkey studies to human parietal cortex.

References 72

  1. 1.

    Mishkin M. Object vision and spatial vision: two cortical pathways. Trends Neurosci. 1983;6:414-417.

    Not in our library

  2. 2.

    Milner A.D., Goodale M.A. The Visual Brain in Action. 1995.

    Not in our library

  3. 3.

    Goodale M.A. Two distinct modes of control for object-directed action. Prog. Brain Res. 2004;144:131-144.

    Not in our library10.1016/s0079-6123(03)14409-3

  4. 4.

    Milner A.D., Thier P., Karnath H-O. Neglect, extinction, and the cortical streams of visual processing. Parietal Lobe Contributions to Orientation in 3D Space. 1997;3-22.

    Not in our library

  5. 5.

    Vallar G., Perani D. The anatomy of unilateral neglect after right-hemisphere stroke lesions. A clinical/CT-scan correlation study in man. Neuropsychologia. 1986;24:609-622.

    Not in our library10.1016/0028-3932(86)90001-1

  6. 6.

    Mort D.J. The anatomy of visual neglect. Brain. 2003;126:1986-1997.

    Not in our library10.1093/brain/awg200

  7. 7.

    Rizzolatti G., Matelli M. Two different streams form the dorsal visual system: anatomy and functions. Exp. Brain Res. 2003;153:146-157.

    Not in our library10.1007/s00221-003-1588-0

  8. 8.

    Corbetta M., Shulman G.L. Control of goal-directed and stimulus-driven attention in the brain. Nat. Rev. Neurosci. 2002;3:215-229.

    Not in our library10.1038/nrn755

  9. 9.

    Vandenberghe R. Functional specificity of superior parietal mediation of spatial shifting. Neuroimage. 2001;14:661-673.

    Not in our library10.1006/nimg.2001.0860

  10. 10.

    Culham J.C., Valyear K.F. Human parietal cortex in action. Curr. Opin. Neurobiol. 2006;16:205-212.

    Not in our library10.1016/j.conb.2006.03.005

  11. 11.

    Connolly J.D. FMRI evidence for a ‘parietal reach region’ in the human brain. Exp. Brain Res. 2003;153:140-145.

    Not in our library10.1007/s00221-003-1587-1

  12. 12.

    LaBar K.S. Neuroanatomic overlap of working memory and spatial attention networks: a functional MRI comparison within subjects. Neuroimage. 1999;10:695-704.

    Not in our library10.1006/nimg.1999.0503

  13. 13.

    Culham J.C. The role of parietal cortex in visuomotor control: what have we learned from neuroimaging? Neuropsychologia. 2006;44:2668-2684.

    Not in our library10.1016/j.neuropsychologia.2005.11.003

  14. 14.

    Sereno M.I. Mapping of contralateral space in retinotopic coordinates by a parietal cortical area in humans. Science. 2001;294:1350-1354.

    Not in our library10.1126/science.1063695

  15. 15.

    Schluppeck D. Sustained activity in topographic areas of human posterior parietal cortex during memory-guided saccades. J. Neurosci. 2006;26:5098-5108.

    Not in our library10.1523/jneurosci.5330-05.2006

  16. 16.

    Medendorp W.P. Gaze-centered updating of visual space in human parietal cortex. J. Neurosci. 2003;23:6209-6214.

    Not in our library10.1523/jneurosci.23-15-06209.2003

  17. 17.

    Merriam E.P. Spatial updating in human parietal cortex. Neuron. 2003;39:361-373.

    Not in our library10.1016/s0896-6273(03)00393-3

  18. 18.

    Husain M., Rorden C. Non-spatially lateralized mechanisms in hemispatial neglect. Nat. Rev. Neurosci. 2003;4:26-36.

    Not in our library10.1038/nrn1005

  19. 19.

    Pardo J.V. Localization of a human system for sustained attention by positron emission tomography. Nature. 1991;349:61-64.

    Not in our library10.1038/349061a0

  20. 20.

    Sturm W. Functional anatomy of intrinsic alertness: evidence for a fronto-parietal-thalamic-brainstem network in the right hemisphere. Neuropsychologia. 1999;37:797-805.

    Not in our library10.1016/s0028-3932(98)00141-9

  21. 21.

    Manly T. Enhancing the sensitivity of a sustained attention task to frontal damage: convergent clinical and functional imaging evidence. Neurocase. 2003;9:340-349.

    Not in our library10.1076/neur.9.4.340.15553

  22. 22.

    Adler C.M. Changes in neuronal activation with increasing attention demand in healthy volunteers: an fMRI study. Synapse. 2001;42:266-272.

    Not in our library10.1002/syn.1112

  23. 23.

    Downar J. A cortical network sensitive to stimulus salience in a neutral behavioral context across multiple sensory modalities. J. Neurophysiol. 2002;87:615-620.

    Not in our library10.1152/jn.00636.2001

  24. 24.

    Clark V.P. Responses to rare visual target and distractor stimuli using event-related fMRI. J. Neurophysiol. 2000;83:3133-3139.

    Not in our library10.1152/jn.2000.83.5.3133

  25. 25.

    Marois R. A stimulus-driven approach to object identity and location processing in the human brain. Neuron. 2000;25:717-728.

    Not in our library10.1016/s0896-6273(00)81073-9

  26. 26.

    Linden D.E. The functional neuroanatomy of target detection: an fMRI study of visual and auditory oddball tasks. Cereb. Cortex. 1999;9:815-823.

    Not in our library10.1093/cercor/9.8.815

  27. 27.

    Coull J.T., Frith C.D. Differential activation of right superior parietal cortex and intraparietal sulcus by spatial and nonspatial attention. Neuroimage. 1998;8:176-187.

    Not in our library10.1006/nimg.1998.0354

  28. 28.

    Wojciulik E., Kanwisher N. The generality of parietal involvement in visual attention. Neuron. 1999;23:747-764.

    Not in our library10.1016/s0896-6273(01)80033-7

  29. 29.

    Marois R. Neural correlates of the attentional blink. Neuron. 2000;28:299-308.

    Not in our library10.1016/s0896-6273(00)00104-5

  30. 30.

    Coull J.T., Nobre A.C. Where and when to pay attention: the neural systems for directing attention to spatial locations and to time intervals as revealed by both PET and fMRI. J. Neurosci. 1998;18:7426-7435.

    Not in our library10.1523/jneurosci.18-18-07426.1998

  31. 31.

    Chambers C.D. Fast and slow parietal pathways mediate spatial attention. Nat. Neurosci. 2004;7:217-218.

    Not in our library10.1038/nn1203

  32. 32.

    Mevorach C. Opposite biases in salience-based selection for the left and right posterior parietal cortex. Nat. Neurosci. 2006;9:740-742.

    Not in our library10.1038/nn1709

  33. 33.

    Behrmann M., Geng J.J., Karnath H-O. What is ‘left’ when all is said and done? Spatial coding and hemispatial neglect. The Cognitive and Neural Bases of Spatial Neglect. 2002;85-100.

    Not in our library

  34. 34.

    Kinsbourne M., Robertson I.H., Marshall J.C. Orientational bias model of unilateral neglect: evidence from attentional gradients within hemispace. Unilateral Neglect: Clinical and Experimental Studies. 1993;63-86.

    Not in our library

  35. 35.

    Smania N. The spatial distribution of visual attention in hemineglect and extinction patients. Brain. 1998;121:1759-1770.

    Not in our library10.1093/brain/121.9.1759

  36. 36.

    Heilman K.M., Van Den Abell T. Right hemisphere dominance for attention: the mechanism underlying hemispheric asymmetries of inattention (neglect). Neurology. 1980;30:327-330.

    Not in our library10.1212/wnl.30.3.327

  37. 37.

    Bartolomeo P., Chokron S. Left unilateral neglect or right hyperattention? Neurology. 1999;53:2023-2027.

    Not in our library10.1212/wnl.53.9.2023

  38. 38.

    Duncan J. Systematic analysis of deficits in visual attention. J. Exp. Psychol. Gen. 1999;128:450-478.

    Not in our library10.1037//0096-3445.128.4.450

  39. 39.

    Peers P.V. Attentional functions of parietal and frontal cortex. Cereb. Cortex. 2005;15:1469-1484.

    Not in our library10.1093/cercor/bhi029

  40. 40.

    Snow J.C., Mattingley J.B. Goal-driven selective attention in patients with right hemisphere lesions: how intact is the ipsilesional field? Brain. 2006;129:168-181.

    Not in our library10.1093/brain/awh690

All 72 references

Cited by papers we hold 8

Reads

Read by people on this page

None yet.

Checked or read by AI through naulon

None yet.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.

Are you an author?

Is this your paper?

Claim it to add your note and be paid when agents cite it. Free.