Tactile temporal order
Shinya Yamamoto and Shigeru Kitazawa (2015), Scholarpedia, 10(3):8249. | doi:10.4249/scholarpedia.8249 | revision #150497 [link to/cite this article] |
The perception of tactile temporal order, the order of multiple touches to the skin in time, has long been a topic of research in psychophysics but has drawn new attention since the discovery that it depends not only on the stimulation interval but also on body postures in space. When two stimuli are delivered in succession one to each hand, 75% correct judgment is achieved with a Stimulus Onset Asynchrony (SOA) of approximately 20-60 ms (as long as the hands are not crossed). However, when the arms are crossed, judgments are often inverted at longer SOAs (100-200 ms), and correct judgments are recovered at much longer SOAs (0.5-1 s) yielding an N-shaped psychometric function in some individuals. The inverted judgment and the recovery are now considered to result from an initial erroneous remapping of the touch to the spatial location of the other hand and further remapping of the signal to the correct hand thereafter. Thus, tactile temporal order depends critically on the process of localizing tactile stimuli in space, which develops over time. Multiple regions are now implicated in the judgment of tactile temporal order, including the posterior parietal cortices for remapping tactile signals in space, and the perisylvian areas that are implicated in the temporal order judgment of visual stimuli as well.
What is unique about tactile temporal order?
The perception of temporal order between two events has been an important issue in psychophysics for many years (Hirsh and Sherrick, 1961; Efron, 1963; Sternberg and Knoll, 1973; Pöppel, 1997). However, tactile temporal order, the temporal order between two tactile stimuli, had been only one issue of many combinations of the three sensory modalities (visual, auditory, tactile, audio-visual, visuo-tactile, audio-tactile). Indeed, it was generally accepted that the brain can judge the order of two stimuli that are separated in time by 20-30 ms independent of the sensory modalities of these stimuli (Hirsh and Sherrick, 1961; Pöppel, 1997).
In the 2000s, tactile temporal order began to attract particular attention in two contexts. First, it was discovered that tactile temporal order is dramatically altered just by crossing the hands (Yamamoto and Kitazawa, 2001a; Shore et al., 2002b). This was a finding unique to the tactile modality, because we can cross the hands (tactile sense organs) in space but not the eyes or ears. Second, calibration in tactile temporal order, after the repeated presentation of a pair of stimuli in a particular order, occurred in the opposite direction (Miyazaki et al., 2006) compared to lag adaptation that had been discovered in audio-visual modalities (Fujisaki et al., 2004; Vroomen et al., 2004). Sound and light with fixed intervals are likely to originate from a single event. By contrast, two tactile signals with a fixed interval are most likely to originate from two different events.
Here, we review these recent findings on tactile temporal order and discuss their general implications.
Essential contribution of spatial coordinates and body postures to tactile temporal order
Temporal resolution in normal postures
When two touches are delivered one to each hand with the arms in a normal posture (uncrossed), 75% correct judgment can be achieved with a stimulation interval of 20-60 ms (Shore et al., 2002b; Roder et al., 2004; Wada et al., 2004; Shore et al., 2005; Craig and Belser, 2006; Kobor et al., 2006; Schicke and Roder, 2006; Azanon and Soto-Faraco, 2007b; Roberts and Humphreys, 2008; Fujisaki and Nishida, 2009; Heed et al., 2012). To be more precise, the stimulation interval may be replaced with the stimulus onset asynchrony (SOA), which refers to the interval between the onsets of the two stimuli. The just noticeable difference (JND) is a measure of temporal resolution, which is defined as half of the difference between two SOAs that yield the “right hand first” judgment in 75% and 25% of the trials (Figure 1B).
Hirsh (1961) reported that a JND of approximately 20 ms was shared across 6 combinations of the 3 different sensory modalities (visual, auditory, tactile, audio-tactile, visuo-tactile, and audio-visual temporal order judgment, TOJ). However, a recent study (Fujisaki and Nishida, 2009) reported that the JND was smallest in tactile TOJ (19 ms) followed by the JNDs in audio-tactile (23 ms) and visuo-tactile (30 ms) TOJs and was largest in audio-visual TOJs (37 ms).
Sambo et al. (2013) recently reported that the JND with nociceptive stimuli increased to 80 ms as compared to 49 ms with tactile stimuli. This may be attributed to a larger variance in conduction latency with Aδ fibers that convey nociception than that with Aβ fibers that convey the sense of touch.
Judgment reversal in tactile temporal order due to arm crossing
Tactile temporal order is dramatically altered simply by crossing the hands (Yamamoto and Kitazawa, 2001a; Shore et al., 2002b). When participants judged the order of two tactile stimuli with their arms crossed, the JND increased to 124 ms from 34 ms (Shore et al., 2002b). The effect was beyond the mere increase in the JND (Yamamoto and Kitazawa, 2001a). In some participants, the subjective temporal order was inverted at SOAs of 100-200 ms but was corrected at longer SOAs (1500 ms). As a result, the psychometric function was no longer monotonic but N-shaped (Figure 2A, B). The effect of arm crossing on tactile TOJ has now been replicated in many studies (Yamamoto and Kitazawa, 2001a; Shore et al., 2002a; Roder et al., 2004; Wada et al., 2004; Craig and Belser, 2006; Kobor et al., 2006; Schicke and Roder, 2006; Azanon and Soto-Faraco, 2007a; Roberts and Humphreys, 2008; Pagel et al., 2009; Heed et al., 2012; Cadieux and Shore, 2013), and the mean JND in the arms-uncrossed posture was in the range of 18-58 ms but increased to 91-447 ms. It is worth noting that the JND, which implicitly assumes a monotonic function, is not useful for quantifying N-shaped responses because it yields a negative value. Instead, Yamamoto and Kitazawa (Yamamoto and Kitazawa, 2001a) introduced a quantitative model with a probability of judgment reversal from the right-hand first to the left-hand first (Al) or vice versa (Ar), which can be fit to N-shaped or S-shaped responses. The peak probability of judgment reversal varied across participants and ranged from 0.1 to 1 with an average of ~0.3 (Yamamoto and Kitazawa, 2001a; Wada et al., 2004).
A reversal of tactile temporal order also occurs when two legs are crossed (with foot stimulation) or when one arm and the contralateral leg are crossed (Schicke and Roder, 2006). It even occurs without crossing the arms when crossing two drumsticks (one held in each hand (Figure 2C)) when participants are required to judge the order of stimuli that were delivered to the tips of the sticks with their eyes closed (Yamamoto and Kitazawa, 2001b). Straight sticks can be replaced with L-shaped (Yamamoto et al., 2005) or virtual tools in virtual reality (Moizumi et al., 2007).
These reversals in tactile temporal order occur when participants respond with their hand with their eyes closed. Under these conditions, it is reasonable to base their judgments simply on the locations of the stimuli on the body surface. Nonetheless, tactile temporal order was reversed. This indicates that tactile signals are not ordered in time while the signals are represented somatotopically. Tactile temporal order is determined only after the tactile signals are referred to a relevant location in space, which could be the hand itself or the tip of a tool in the hand.
Other evidence for the involvement of spatial coordinates
The perceived hand positions in space affect tactile temporal order even when the arms are not crossed. The JND decreases as the distance of two hands increase (Shore et al., 2005; Kuroki et al., 2010). The JND increases when the two hands are virtually placed close together with a mirror (Gallace and Spence, 2005). Hermosillo (2011) demonstrated that the planning of arm movements from uncrossed to crossed impairs tactile TOJ, even when the stimuli are delivered prior to the onset of actual arm-crossing movements. The subjective temporal order is affected by future (planned) arm configuration.
Involvement of local motion and global “apparent motion”
Craig (2003) and Craig and Busey (2003) examined TOJs of two tactile stimuli presented to two finger pads when each of the two stimuli simulated a local motion of the skin. They found that the judgments were affected by the local tactile motions. The judgments were biased toward the correct judgment, (or toward the incorrect judgment) according to whether the direction of the local motions were consistent (or inconsistent) with the global “apparent motion” defined by the two successive stimuli across the finger pads. These results clearly demonstrate that local tactile motions, which should be represented in the somatotopic coordinates in the initial stage, interact with the direction of the global motion vector between the two hands defined in the external coordinates. Another study (Kitazawa et al., 2008) reported that tactile TOJ was affected by visual distractors that defined a global motion vector between the two hands. By using visual distractors that participants were told to ignore, some participants yielded N-shaped response curves even when the arms were not crossed. Takahashi et al. (2013) reported that the participants felt a sense of “motion” in > 70% of trials when the two stimuli were delivered one to each hand with SOAs of 50-200 ms. The sense of “motion” occurred irrespective of whether the arms were crossed or uncrossed even though the participants closed their eyes.
Altogether, we can speculate that tactile TOJ involves signals regarding a global motion vector defined between the spatial locations of tactile stimuli in the external coordinates.
Spatial remapping of tactile stimuli implicated for judgment reversal
It is now generally accepted that the judgment reversal due to arm crossing occurs because of an initial erroneous remapping of the tactile signal to the spatial position of the wrong (contralateral) hand (Yamamoto and Kitazawa, 2001a; Kitazawa, 2002; Fujisaki et al., 2012; Heed and Azanon, 2014). The tactile signal, initially remapped to the wrong position (1’ in Figure 4A), is then remapped to the correct hand thereafter (1’’ in Figure 4A). The dynamic process of remapping is supported by several findings as follows. Groh and Sparks (1996) reported that some trajectories of saccadic eye movements in response to a touch to the crossed hand began in the direction of the wrong hand, curved toward the correct hand, and reached the correct hand approximately 400 ms after the delivery of the stimulus. A recent study examined the finding in more detail (Overvliet et al., 2011). By using a cross-modal cueing paradigm, Azanon & Soto-Faraco (Azanon and Soto-Faraco, 2008; Azanon et al., 2010b) demonstrated that a touch to a crossed hand initially facilitated a response to a visual stimulus to the wrong hand but then facilitated a response to a visual stimulus to the correct hand 180-360 ms after the touch.
What happens when two stimuli are delivered one to each of the crossed hands (1 and 2 in Figure 4) before the first stimulus is remapped to the correct hand? We may speculate that both stimuli are mapped to the wrong hand (1’ and 2’ in Figure 4). That is, tactile temporal order is inverted in the space represented in the brain. By contrast, when the second stimulus is delivered with an interval greater than 500 ms, after the first stimulus is remapped to the correct hand, the second stimulus is also remapped to the correct hand after an interval, and the correct judgment can be recovered.
Recent studies using functional imaging (Wada et al., 2012), electroencephalography (Heed and Roder, 2010; Soto-Faraco and Azanon, 2013) and transcranial magnetic stimulation (Azanon et al., 2010a) suggested that the posterior parietal cortex is involved in the process of tactile remapping.
Congenitally (early) blind people do not demonstrate reversals in tactile TOJ even when their arms are crossed but late blind participants (aged 12 years and above) do (Roder et al., 2004; Collignon et al., 2009). Pagel et al. (2009) demonstrated that the crossing effect on tactile TOJ was not observed before the age of 5 years but is observed after the age of 5 1/2 years. Those data suggest that the use of external coordinates for tactile localization is acquired by the age of 5 years and requires normal vision. Notably, the crossing effect is smaller when the normal sighted cross the hands in the back than when they cross their hands in front (Kobor et al., 2006). These findings further suggest that the development of the crossing effect requires experience to direct the eyes to the position of touch on the skin.
A model of tactile TOJ
A model of tactile TOJ (a motion projection hypothesis) that accounts for all of the findings explained above has been proposed (Figure 4) (Kitazawa et al., 2008; Fujisaki et al., 2012; Takahashi et al., 2013). In the model, two successive tactile signals to both hands are initially represented in somatotopic coordinates (such as in the primary sensory cortex) but are then remapped to spatial coordinates (such as in the parietal cortex). These signals also evoke a global motion signal in the perisylvian areas. The separate information regarding “what happened where” and the motion vector is finally integrated to construct a perception regarding “what happened in which order”.
However, it is worth noting that the model does not apply to all cases in tactile TOJ. For example, Roberts and Humphrey (2008) reported that crossing the arms had no effect on tactile TOJ when order was judged by the frequency or duration of the tactile stimuli. The underlying mechanisms should be different in those tasks that do not require the discrimination of one hand from the other.
Neuroimaging
A functional imaging study (Takahashi et al., 2013) examined the brain regions involved in judgments of the temporal order of successive taps delivered to both hands. A numerosity judgment task of similar difficulty with identical tactile stimulation was used as a control. In both arm postures (arms crossed and uncrossed) the following regions were activated: the bilateral premotor cortices, the bilateral middle frontal gyri, the bilateral inferior parietal cortices and supramarginal gyri, and the bilateral posterior part of the superior and middle temporal gyri.
Activation in the premotor and inferior parietal areas agrees with the involvement of spatial coordinates. Stronger activation was found in the parietal region, which is implicated in the process of remapping tactile stimuli to spatial coordinates when the participants crossed their arms.
The activation in the perisylvian areas was close to (and partially overlapped with) the visual-motion–sensitive areas. This was also in good agreement with the suggested involvement of the motion vector defined between the two hands. Activation close to the perisylvian area was also reported during a visual TOJ task (Davis et al., 2009).
Temporal order judgments and simultaneity judgments
Simultaneity judgment (SJ) refers to a judgment of whether two signals are simultaneous or not. The probability of the judgment that two signals are simultaneous is generally approximated by a Gaussian function of the SOA with a peak at approximately zero (e.g., Fujisaki and Nishida, 2009). The SOA that yields the peak probability of simultaneity judgment is generally close to the point of subjective simultaneity (PSS) during TOJ, which is defined as an SOA where the order judgment probability is 0.5 (Figure 1B). This may yield the impression that the two stimuli are perceived as simultaneous at the PSS during TOJ. However, this is not necessarily true (Weiss and Scharlau, 2011). Even if we are totally uncertain about the temporal order of two stimuli, we can still perceive them as not being simultaneous. This point is clearly demonstrated in the participant illustrated in Figure 2A. The participant’s N-shaped response curve cut the level of 0.5 at 3 points; one near zero; and the others at -600 and +400 ms. At the two points with SOAs of ~500 ms, the stimuli cannot be perceived as simultaneous, though the order was totally ambiguous for the participant. Indeed, it has been repeatedly shown that crossing the arms does not impair SJ at all (Axelrod et al., 1968; Geffen et al., 2000; Fujisaki and Nishida, 2009). We are not necessarily able to judge the temporal order even if we are certain that they are not simultaneous. That is, some mechanisms for TOJ do not overlap with those for SJ (Hirsh and Sherrick, 1961; Ulrich, 1987; Jaśkowski, 1991; Yamamoto and Kitazawa, 2001a; Shore et al., 2005; Fujisaki and Nishida, 2009).
Patients with Parkinson’s disease (PD), a neurodegenerative disease strongly associated with basal ganglia dysfunction, demonstrate deficits in temporal processing when performing temporal reproduction tasks (Pastor et al., 1992a; O'Boyle et al., 1996; Harrington et al., 1998), perceptual timing tasks (Pastor et al., 1992b; Malapani et al., 1998), SJs, and temporal discrimination between two stimuli (Artieda et al., 1992; Fiorio et al., 2008; Conte et al., 2010). A neuroimaging study of healthy participants confirmed that the basal ganglia and the substantia nigra pars compacta are involved in the reproduction of short and long time intervals (Jahanshahi et al., 2006). These previous findings suggest that dopaminergic transmission in the basal ganglia and related cortical structures play an important role in interval timing tasks, including SJ (for review see Buhusi and Meck, 2005; Merchant et al., 2013). However, patients with PD do not necessarily demonstrate deficits in TOJ compared with their age-matched controls (Nelson et al., 2012; Nishikawa et al., in press). It is possible that SJ may depend more critically on dopaminergic transmission in the basal ganglia than TOJ.
Taken together, the mechanisms underlying tactile TOJ are not identical to SJ, though some overlap may exist.
Effects of past experiences on tactile temporal order
After repeated exposures to a constant time lag of audiovisual stimulus pairs, the lag tends to be ignored to make participants perceive the audiovisual stimuli as being simultaneous (Figure 5B) (Fujisaki et al., 2004; Vroomen et al., 2004). This is called lag adaptation, which is considered to be helpful for binding two signals that have arrived in the brain with a certain delay but actually originated from a single event. Due to the difference between the conduction velocity of light (3 x 1010 m/s) and sound (3 x 102 m/s), the light and sound that occurred simultaneously from a single event arrive at the sensory organs with some delay (light then sound) depending on the distance between the event location and the head. Thus, it is reasonable to ignore the constant lag. However, it is less likely that two tactile stimuli to both hands originated from a single event because the spatial locations of the two hands are not always identical. In fact, lag adaptation is not observed in tactile temporal order judgment when stimuli are delivered one to each hand. Instead, the opposite phenomenon is observed. When the right (left) hand is stimulated earlier than the left (right) hand, subjects tend to have more judgments of right-hand-first (left-hand-first) (Figure 5C). Since it conforms to Bayesian integration theory, the phenomenon is referred to as “Bayesian calibration” (Miyazaki et al., 2006). More specifically, this type of perceptual change can be considered as a learning of “prior” probability in the Bayesian terminology. By contrast, the lag adaptation can be considered as a learning of “likelihood” (Sato and Aihara, 2011; Fujisaki et al., 2012). How these two types of perceptual changes are implemented in the brain should be the focus of future studies.
Future directions
N-shaped response curves (Figure 2A), discovered by crossing the arms, cannot be explained by the long-held decision center model with two independent channels (Figure 1A). The discovery unique to tactile temporal order revealed that the process of TOJ is more complex than had once been believed. A proposed model hypothesizes that spatial information (what happened where) and temporal information (direction of motion vector) are combined, and the most likely scenario on what happened where in which order is constructed (Figure 4). The validity of the hypothesis in other sensory modalities and its neural correlates warrant further investigation.
Another line of studies in tactile temporal order have revealed that repeated exposure to stimuli with a certain order results in a calibration of PSS in the opposite direction (Bayesian calibration) compared to the lag adaptation discovered during audiovisual TOJ (Figure 5). The new finding in tactile temporal order has already been tested with audiovisual TOJ, and it was confirmed that Bayesian calibration occurs even in the audiovisual TOJ (Yamamoto et al., 2012). Generalizing the discoveries in tactile temporal order to other modalities will provide important hints to uncover the mechanisms of temporal order information processing in general.
References
- Artieda, J; Pastor, M A; Lacruz, F and Obeso, J A (1992). Temporal discrimination is abnormal in Parkinson's disease. Brain 115 (Pt. 1): 199-210.
- Axelrod, S; Thompson, L W and Cohen, L D (1968). Effects of senescence on the temporal resolution of somesthetic stimuli presented to one hand or both. Journal of Gerontology 23: 191-195.
- Azanon, E and Soto-Faraco, S (2007). Alleviating the 'crossed-hands' deficit by seeing uncrossed rubber hands. Experimental Brain Research 182: 537-548.
- Azanon, E and Soto-Faraco, S (2008). Changing reference frames during the encoding of tactile events. Current Biology 18: 1044-1049.
- Azanon, E; Longo, M R; Soto-Faraco, S and Haggard, P (2010a). The posterior parietal cortex remaps touch into external space. Current Biology 20: 1304-1309.
- Azanon, E; Camacho, K and Soto-Faraco, S (2010b). Tactile remapping beyond space. European Journal of Neuroscience 31: 1858-1867.
- Buhusi, C V and Meck, W H (2005). What makes us tick? Functional and neural mechanisms of interval timing. Nature Reviews Neuroscience 6: 755-765.
- Cadieux, M L and Shore, D I (2013). Response demands and blindfolding in the crossed-hands deficit: An exploration of reference frame conflict. Multisensory Research 26: 465-482.
- Collignon, O; Charbonneau, G; Lassonde, M and Lepore, F (2009). Early visual deprivation alters multisensory processing in peripersonal space. Neuropsychologia 47: 3236-3243.
- Conte, A et al. (2010). Subthalamic nucleus stimulation and somatosensory temporal discrimination in Parkinson's disease. Brain 133: 2656-2663.
- Craig, J C and Busey, T A (2003). The effect of motion on tactile and visual temporal order judgments. Perception & Psychophysics 65: 81-94.
- Craig, J C (2003). The effect of hand position and pattern motion on temporal order judgments. Perception & Psychophysics 65: 779-788.
- Craig, J C and Belser, A N (2006). The crossed-hands deficit in tactile temporal-order judgments: The effect of training. Perception 35: 1561-1572.
- Davis, B; Christie, J and Rorden, C (2009). Temporal order judgments activate temporal parietal junction. The Journal of Neuroscience 29: 3182-3188.
- Efron, R (1963). The effect of handedness on the perception of simultaneity and temporal order. Brain 86: 261-284.
- Fiorio, M (2008). Subclinical sensory abnormalities in unaffected PINK1 heterozygotes. Journal of Neurology 255: 1372-1377.
- Fujisaki, W; Shimojo, S; Kashino, M and Nishida, S (2004). Recalibration of audiovisual simultaneity. Nature Neuroscience 7: 773-778.
- Fujisaki, W and Nishida, S (2009). Audio-tactile superiority over visuo-tactile and audio-visual combinations in the temporal resolution of synchrony perception. Experimental Brain Research 198: 245-259.
- Fujisaki, W; Kitazawa, S and Nishida, S (2012). Multisensory timing. In: B Stein (Ed.), The New Handbook of Multisensory Processes (pp. 301-318). Cambridge: MIT Press.
- Gallace, A and Spence, C (2005). Visual capture of apparent limb position influences tactile temporal order judgments. Neuroscience Letters 379: 63-68.
- Geffen, G; Rosa, V and Luciano, M (2000). Effects of preferred hand and sex on the perception of tactile simultaneity. Journal of Clinical and Experimental Neuropsychology 22: 219-231.
- Groh, J M and Sparks, D L (1996). Saccades to somatosensory targets. I. Behavioral characteristics. Journal of Neurophysiology 75: 412-427.
- Harrington, D L; Haaland, K Y and Hermanowicz, N (1998). Temporal processing in the basal ganglia. Neuropsychology 12: 3-12.
- Heed, T and Roder, B (2010). Common anatomical and external coding for hands and feet in tactile attention: evidence from event-related potentials. Journal of Cognitive Neuroscience 22: 184-202.
- Heed, T; Backhaus, J and Roder, B (2012). Integration of hand and finger location in external spatial coordinates for tactile localization. Journal of Experimental Psychology: Human Perception and Performance 38: 386-401.
- Heed, T and Azanon, E (2014). Using time to investigate space: A review of tactile temporal order judgments as a window onto spatial processing in touch. Frontiers in Psychology 5: 76.
- Hermosillo, R; Ritterband-Rosenbaum, A and van Donkelaar, P (2011). Predicting future sensorimotor states influences current temporal decision making. The Journal of Neuroscience 31: 10019-10022.
- Hirsh, I J and Sherrick, C E, Jr. (1961). Perceived order in different sense modalities. Journal of Experimental Psychology 62: 423-432.
- Jahanshahi, M; Jones, C R; Dirnberger, G and Frith, C D (2006). The substantia nigra pars compacta and temporal processing. The Journal of Neuroscience 26: 12266-12273.
- Jaśkowski, P (1991). Two-stage model for order discrimination. Perception & Psychophysics 50: 76-82.
- Kitazawa, S (2002). Where conscious sensation takes place. Consciousness and Cognition 11: 475-477.
- Kitazawa, S et al. (2008). Reversal of subjective temporal order due to sensory and motor integrations. In: P Haggard, M Kawato, Y Rossetti (Eds.), Attention and Performance (pp. 73-97). New York: Oxford University Press.
- Kobor, I; Furedi, L; Kovacs, G; Spence, C and Vidnyanszky, Z (2006). Back-to-front: Improved tactile discrimination performance in the space you cannot see. Neuroscience Lettters 400: 163-167.
- Kuroki, S; Watanabe, J; Kawakami, N; Tachi, S and Nishida, S (2010). Somatotopic dominance in tactile temporal processing. Experimental Brain Research 203: 51-62.
- Malapani, C et al. (1998). Coupled temporal memories in Parkinson's disease: A dopamine-related dysfunction. Journal of Cognitive Neuroscience 10: 316-331.
- Merchant, H; Harrington, D L and Meck, W H (2013). Neural basis of the perception and estimation of time. Annual Review of Neuroscience 36: 313-336.
- Miyazaki, M; Yamamoto, S; Uchida, S and Kitazawa, S (2006). Bayesian calibration of simultaneity in tactile temporal order judgment. Nature Neuroscience 9: 875-877.
- Moizumi, S; Yamamoto, S and Kitazawa, S (2007). Referral of tactile stimuli to action points in virtual reality with reaction force. Neuroscience Research 59: 60-67.
- Nelson, A J et al. (2012). Dopamine alters tactile perception in Parkinson's disease. The Canadian Journal of Neurological Sciences. Le Journal Canadien des Sciences Neurologiques 39: 52-57.
- Nishikawa, N; Shimo, Y; Wada, M; Hattori, N and Kitazawa, S (2015). Effects of aging and idiopathic Parkinson's disease on tactile temporal order judgment. PLoS ONE 10(3): e0118331.
- O'Boyle, D J; Freeman, J S and Cody, F W (1996). The accuracy and precision of timing of self-paced, repetitive movements in subjects with Parkinson's disease. Brain 119 (Pt 1): 51-70.
- Overvliet, K E; Azanon, E and Soto-Faraco, S (2011). Somatosensory saccades reveal the timing of tactile spatial remapping. Neuropsychologia 49: 3046-3052.
- Pöppel, E (1997). A hierarchical model of temporal perception. Trends in Cognitive Sciences 1: 56-61.
- Pagel, B; Heed, T and Roder, B (2009). Change of reference frame for tactile localization during child development. Developmental Science 12: 929-937.
- Pastor, M A; Jahanshahi, M; Artieda, J and Obeso, J A (1992a). Performance of repetitive wrist movements in Parkinson's disease. Brain 115(Pt 3): 875-891.
- Pastor, M A; Artieda, J; Jahanshahi, M and Obeso, J A (1992b). Time estimation and reproduction is abnormal in Parkinson's disease. Brain 115(Pt 1): 211-225.
- Roberts, R D and Humphreys, G W (2008). Task effects on tactile temporal order judgments: when space does and does not matter. Journal of Experimental Psychology: Human Perception and Performance 34: 592-604.
- Roder, B; Rosler, F and Spence, C (2004). Early vision impairs tactile perception in the blind. Current Biology 14: 121-124.
- Sambo, C F et al. (2013). The temporal order judgement of tactile and nociceptive stimuli is impaired by crossing the hands over the body midline. Pain 154: 242-247.
- Sato, Y and Aihara, K (2011). A bayesian model of sensory adaptation. PloS ONE 6: e19377.
- Schicke, T and Roder, B (2006). Spatial remapping of touch: confusion of perceived stimulus order across hand and foot. Proceedings of the National Academy of Sciences of the United States of America 103: 11808-11813.
- Shore, D I; Spry, E and Spence, C (2002a). Confusing the mind by crossing the hands. Brain research. Cognitive brain research 14: 153-163.
- Shore, D I; Gray, K; Spry, E and Spence, C (2005). Spatial modulation of tactile temporal-order judgments. Perception 34: 1251-1262.
- Soto-Faraco, S and Azanon, E (2013). Electrophysiological correlates of tactile remapping. Neuropsychologia 51: 1584-1594.
- Sternberg, S and Knoll, R (1973). The perception of temporal order: fundamental issues and a general model. In: S Kornblum (Ed.), Attention and Performance (pp. 629-685). New York: Academic Press.
- Takahashi, T; Kansaku, K; Wada, M; Shibuya, S and Kitazawa, S (2013). Neural correlates of tactile temporal-order judgment in humans: An fMRI study. Cerebral Cortex 23: 1952-1964.
- Ulrich, R (1987). Threshold models of temporal-order judgments evaluated by a ternary response task. Perception & Psychophysics 42: 224-239.
- Vroomen, J; Keetels, M; de Gelder, B and Bertelson, P (2004). Recalibration of temporal order perception by exposure to audio-visual asynchrony. Brain Research. Cognitive Brain Research 22: 32-35.
- Wada, M; Yamamoto, S and Kitazawa, S (2004). Effects of handedness on tactile temporal order judgment. Neuropsychologia 42: 1887-1895.
- Wada, M et al. (2012). Spatio-temporal updating in the left posterior parietal cortex. PLoS ONE 7: e39800.
- Weiss, K and Scharlau, I (2011). Simultaneity and temporal order perception: Different sides of the same coin? Evidence from a visual prior-entry study. Quarterly Journal of Experimental Psychology (Hove) 64: 394-416.
- Yamamoto, S and Kitazawa, S (2001a). Reversal of subjective temporal order due to arm crossing. Nature Neuroscience 4: 759-765.
- Yamamoto, S and Kitazawa, S (2001b). Sensation at the tips of invisible tools. Nature Neuroscience 4: 979-980.
- Yamamoto, S; Moizumi, S and Kitazawa, S (2005). Referral of tactile sensation to the tips of L-shaped sticks. Journal of Neurophysiology 93: 2856-2863.
- Yamamoto, S; Miyazaki, M; Iwano, T and Kitazawa, S (2012). Bayesian calibration of simultaneity in audiovisual temporal order judgments. PloS ONE 7: e40379.