ArticleLiterature Review

Oscillatory Multiplexing of Neural Population Codes for Interval Timing and Working Memory

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Abstract

Interval timing and working memory are critical components of cognition that are supported by neural oscillations in prefrontal-striatal-hippocampal circuits. In this review, the properties of interval timing and working memory are explored in terms of behavioral, anatomical, pharmacological, and neurophysiological findings. We then describe the various neurobiological theories that have been developed to explain these cognitive processes – largely independent of each other. Following this, a coupled excitatory-inhibitory oscillation (EIO) model of temporal processing is proposed to address the shared oscillatory properties of interval timing and working memory. Using this integrative approach, we describe a hybrid model explaining how interval timing and working memory can originate from the same oscillatory processes, but differ in terms of which dimension of the neural oscillation is utilized for the extraction of item, temporal order, and duration information. This extension of the striatal beat-frequency (SBF) model of interval timing (Matell and Meck, 2000, 2004) is based on prefrontal-striatal-hippocampal circuit dynamics and has direct relevance to the pathophysiological distortions observed in time perception and working memory in a variety of psychiatric and neurological conditions.

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... The neural oscillator models, on the other hand, are grounded in neuronal networks of timing system in the brain, and consistent with the anatomical, behavioral, and pharmacological evidence (Allman & Meck, 2012;Coull et al., 2010;Merchant et al., 2013). The EIO model (Gu et al., 2015), for example, is constructed such that its mechanisms are consistent with phase-amplitude coupling (PAC) between theta and gamma oscillations thought to be involved in both working memory and timing (Axmacher et al., 2010;Canolty & Knight, 2010;Jensen & Colgin, 2007). Integrate-and-fire attractor networks simulating the lateral entorhinal cortex can produce half-phase oscillatory patterns for coding the seconds to minutes range of time (Rolls & Mills, 2019). ...
... The goodness of fit of this approach is yet to be validated. Alternatively, using the ability to store multiple intervals simultaneously, as proposed in the EIO model (Gu et al., 2015), could be another solution to this dynamic acquisition. The second implication of the dynamic acquisition is that the target temporal criterion is acquired quickly, but the reliability of the acquired temporal criterion increases gradually over sessions. ...
... The brain must then resort to additional resources and processes to compute time differences between multiple intervals. In contrast, multiple-oscillator models (Church & Broadbent, 1990;Gu et al., 2015) could, in principle, preserve the magnitudes of the interval timing and the computational accessibility (e.g., in log-spacing oscillators). ...
Article
One of the major challenges for computational models of timing and time perception is to identify a neurobiological plausible implementation that predicts various behavioral properties, including the scalar property and retrospective timing. The available timing models primarily focus on the scalar property and prospective timing, while virtually ignoring the computational accessibility. Here, we first selectively review timing models based on ramping activity, oscillatory pattern, and time cells, and discuss potential challenges for the existing models. We then propose a multifrequency oscillatory model that offers computational accessibility, which could account for a much broader range of timing features, including both retrospective and prospective timing.
... Over the past 50 years or more, numerous behavioral theories of interval timing have been developed, eventually coalescing around the classic Scalar Expectancy Theory (SET − Gibbon, 1977), Scalar Timing Theory (STT, an information-processing model derived from SET − Gibbon et al., 1984), the Behavioral Theory of Timing (BeT − Killeen & Fetterman, 1988), and the Learning-to-Time (LeT − Machado et al., 2009) model. From this solid behavioral foundation, more computational models have emerged, some with neurobiological correlates including oscillation/coincidence-detection models (e.g., Buhusi et al., 2016;Gu et al., 2015;Matell & Meck, 2000, 2004Petter et al., , 2018, drift-diffusion models (e.g., Balcı & Simen, 2014;Luzardo et al., 2013;Emmons et al., 2017;Narayanan, 2016), as well as a variety of state-dependent processes, including population, temporal dynamics, and recurrent neural-network models (e.g., Buonomano, 2014;Goel & Buonomano, 2014;Hardy & Buonomano, 2016;Laje & Buonomano, 2013;Petter & Merchant, 2016;Wang et al., 2018). ...
... Consequently, the proposal is that MSNs act as coincidence detectors for specific cortical oscillatory patterns while multiplexing interval timing and working memory (Buhusi et al., 2016;Gu et al., 2015). These oscillatory patterns can be represented at the level of the MSNs as direct spiking input, a sinusoidal type population signal, or a nearly infinite number of possibilities given the richness of the oscillatory time base (see Matell & Meck, 2004). ...
... There are potentially significant advantages of having an oscillatory time base composed of regularly repeating patterns of oscillation that are widely observed in the cortex and striatum. One is that such regulatory activity is an important aspect of sensory processing and interval timing that allows synchronization of information-processing in different brain areas, including the types of resource allocation underlying dynamic attending and working memory (e.g., Breska & Deouell, 2017;Cravo et al., 2013;Gu et al., 2015;Haegens & Golumbic, 2018;Henry & Herrmann, 2014;Herbst & Landau, 2016;Kösem et al., 2014;Meck & Benson, 2002;Teki et al. (2017) − but see Breska & Deouell, 2016 for an example of when synchronizing to distracting rhythms is detrimental to shifting attention, and van Ede et al., 2018 for a cautionary note on whether neural oscillations contained within certain frequency ranges are best viewed as sustained rhythms or transient burst events). These synchronized oscillations allow the time base to change in a systematic fashion as a function of time, thus proving additional temporal information in the repeated subsets (phase harmonics) of the oscillating time base. ...
Article
Full-text available
The major tenets of beat-frequency/coincidence-detection models of reward-related timing are reviewed in light of recent behavioral and neurobiological findings. This includes the emphasis on a core timing network embedded in the motor system that is comprised of a corticothalamic-basal ganglia circuit. Therein, a central hub provides timing pulses (i.e., predictive signals) to the entire brain, including a set of distributed satellite regions in the cerebellum, cortex, amygdala, and hippocampus that are selectively engaged in timing in a manner that is more dependent upon the specific sensory, behavioral, and contextual requirements of the task. Oscillation/coincidence-detection models also emphasize the importance of a tuned ‘perception’ learning and memory system whereby target durations are detected by striatal networks of medium spiny neurons (MSNs) through the coincidental activation of different neural populations, typically utilizing patterns of oscillatory input from the cortex and thalamus or derivations thereof (e.g., population coding) as a time base. The measure of success of beat-frequency/coincidence-detection accounts, such as the Striatal Beat-Frequency model of reward-related timing (SBF), is their ability to accommodate new experimental findings while maintaining their original framework, thereby making testable experimental predictions concerning diagnosis and treatment of issues related to a variety of dopamine-dependent basal ganglia disorders, including Huntington’s and Parkinson’s disease.
... In fact, as theorized by the attentional allocation model, paying attention only to time induces temporal overestimation, whereas paying attention away from time in favor of other cognitive tasks causes an underestimation of time ( [9,[39][40][41][42]; for reviews, see Refs. [13,37,43]). For example, Brown (1997) found that different types of tasks (such as visual search, pursuit rotor tracking and mental arithmetic tasks) induce duration underestimation, which increases as the difficulty of the task increases. ...
... Particularly, some studies tested the effects of cognitive and attentional tasks on time estimation of ecologically valid time scales (order of 10-100 s) ( [49,61]; for reviews, see Refs. [12,13,37,43]). Time estimation has also been shown to depend on the specific paradigm at hand. Indeed, it has been shown that in a prospective paradigm, in which participants are aware that they must estimate time, cognitive effort decreases the subjective-to-objective duration ratio. ...
... While durations below a second have received a great deal of attention in the human timing literature, a lower number of studies tested the effects of cognitive tasks on such long intervals ( [49,61], for review, see Refs. [12,13,37,43]). However, in ecological situations, human activities require more than just a few seconds, and we usually do have to estimate time in terms of minutes and even more while performing other tasks. ...
Article
Full-text available
The passing of time can be precisely measured by using clocks, whereas humans’ estimation of temporal durations is influenced by many physical, cognitive and contextual factors, which distort our internal clock. Although it has been shown that temporal estimation accuracy is impaired by non-temporal tasks performed at the same time, no studies have investigated how concurrent cognitive and motor tasks interfere with time estimation. Moreover, most experiments only tested time intervals of a few seconds. In the present study, participants were asked to perform cognitive tasks of different difficulties (look, read, solve simple and hard mathematical operations) and estimate durations of up to two minutes, while walking or sitting. The results show that if observers pay attention only to time without performing any other mental task, they tend to overestimate the durations. Meanwhile, the more difficult the concurrent task, the more they tend to underestimate the time. These distortions are even more pronounced when observers are walking. Estimation biases and uncertainties change differently with durations depending on the task, consistent with a fixed relative uncertainty. Our findings show that cognitive and motor systems interact non-linearly and interfere with time perception processes, suggesting that they all compete for the same resources.
... Our motivating examples arises in neurobiology, where individual biological neurons can be viewed as oscillators with periodic spiking and firing of the action potential. Moreover, functional circuits of the brain, such as cortical columns and prefrontal-striatal-hippocampal circuits, are being increasingly interpreted by networks of oscillatory neurons, see [37] for an overview and [17] for modeling specific brain functions such as interval timing and working memory as oscillatory neural networks. Following well-established paths in machine learning such as for convolutional neural networks [29], our focus here is to abstract the essence of functional brain circuits being networks of oscillators and design an RNN based on much simpler mechanistic systems such as those modeled by (2), while ignoring the complicated biological details of neural function. ...
... Inspired by many models in physics, biology and engineering, particularly by circuits of biological neurons [37,17], we proposed a novel RNN architecture (3) based on a model (1) of coupled controlled forced and damped oscillators. For this RNN, we rigorously showed that the hidden states are bounded (5) and obtained precise bounds on the gradients (Jacobians) of the hidden states, (9) and (16). ...
... We will use an induction argument to show the representation formula (17). We start by the outermost product and calculate, ...
Preprint
Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state variables bounded, we propose a novel architecture for recurrent neural networks. Our proposed RNN is based on a time-discretization of a system of second-order ordinary differential equations, modeling networks of controlled nonlinear oscillators. We prove precise bounds on the gradients of the hidden states, leading to the mitigation of the exploding and vanishing gradient problem for this RNN. Experiments show that the proposed RNN is comparable in performance to the state of the art on a variety of benchmarks, demonstrating the potential of this architecture to provide stable and accurate RNNs for processing complex sequential data.
... Ramping, or climbing activities in neural oscillations ranging from primarily low frequency gamma band to higher frequency such as beta and alpha band (e.g., Wittmann, 2013) have been revealed as the physiological basis for the model, in addition to neural spikes across a wide range of brain regions such as the striatum (Gu et al., 2015). The time stamps, or accumulated states, are hypothesized to be expressed on both micro (individual neurons) as well as macro (populatory neuron excitation/inhibition) levels (Buonomano & Laje, 2011). ...
... DAT applies exclusively to prospective timing, while in retrospective timing, it is subject to contextual influences and memory retrieval (Block & Gruber, 2014;Gu et al., 2015). ...
... Note that DAT is hypothesized to function mostly within the suprasecond range, because prospective timing recedes with time due to limited capacities of working memory (WM) (for a review, see Gu et al., 2015). Concurrent tasks that require extra attentional resources could reduce timing accuracy (Brown & Boltz, 2002). ...
Article
Full-text available
The current review addresses two internal clock models that have dominated discussions in timing research for the last decades. More specifically, it discusses whether the central or the intrinsic clock model better describes the fluctuations in subjective time. Identifying the timing mechanism is critical to explain and predict timing behaviours in various audiovisual contexts. Music stands out for its prominence in real life scenarios along with its great potential to alter subjective time. An emphasis on how music as a complex dynamic auditory signal affects timing accuracy led us to examine the behavioural and neuropsychological evidence that supports either clock model. In addition to the timing mechanisms, an overview of internal and external variables, such as attention and emotions as well as the classic experimental paradigms is provided, in order to examine how the mechanisms function in response to changes occurring particularly during music experiences. Neither model can explain the effects of music on subjective timing entirely: The intrinsic model applies primarily to subsecond timing, whereas the central model applies to the suprasecond range. In order to explain time experiences in music, one has to consider the target intervals as well as the contextual factors mentioned above. Further research is needed to reconcile the gap between theories, and suggestions for future empirical studies are outlined.
... We briefly note an intriguing similarity between the oscillatory interference models originally designed to model phase precession (O'Keefe and Recce, 1993;Burgess et al., 2007;Burgess, 2008), with the striatum-based excitatory-inhibitory beat frequency model of interval timing (Matell and Meck, 2004;Gu et al., 2015). However, our aim here is not to set out, let alone adjudicate between, different oscillatory-related approaches to timing (e.g., Miall, 1989;Matell and Meck, 2004;Hasselmo, 2011;Itskov et al., 2011;Gu et al., 2015;Wang et al., 2015). ...
... We briefly note an intriguing similarity between the oscillatory interference models originally designed to model phase precession (O'Keefe and Recce, 1993;Burgess et al., 2007;Burgess, 2008), with the striatum-based excitatory-inhibitory beat frequency model of interval timing (Matell and Meck, 2004;Gu et al., 2015). However, our aim here is not to set out, let alone adjudicate between, different oscillatory-related approaches to timing (e.g., Miall, 1989;Matell and Meck, 2004;Hasselmo, 2011;Itskov et al., 2011;Gu et al., 2015;Wang et al., 2015). Rather, our more limited aim is to focus upon arguablyneglected factors controlling variation of oscillatory frequency. ...
Article
Full-text available
Hippocampal theta frequency is a somewhat neglected topic relative to theta power, phase, coherence, and cross-frequency coupling. Accordingly, here we review and present new data on variation in hippocampal theta frequency, focusing on functional associations (temporal coding, anxiety reduction, learning, and memory). Taking the rodent hippocampal theta frequency to running-speed relationship as a model, we identify two doubly-dissociable frequency components: (a) the slope component of the theta frequency-to-stimulus-rate relationship (“theta slope”); and (b) its y-intercept frequency (“theta intercept”). We identify three tonic determinants of hippocampal theta frequency. (1) Hotter temperatures increase theta frequency, potentially consistent with time intervals being judged as shorter when hot. Initial evidence suggests this occurs via the “theta slope” component. (2) Anxiolytic drugs with widely-different post-synaptic and pre-synaptic primary targets share the effect of reducing the “theta intercept” component, supporting notions of a final common pathway in anxiety reduction involving the hippocampus. (3) Novelty reliably decreases, and familiarity increases, theta frequency, acting upon the “theta slope” component. The reliability of this latter finding, and the special status of novelty for learning, prompts us to propose a Novelty Elicits Slowing of Theta frequency (NEST) hypothesis, involving the following elements: (1) Theta frequency slowing in the hippocampal formation is a generalised response to novelty of different types and modalities; (2) Novelty-elicited theta slowing is a hippocampal-formation-wide adaptive response functioning to accommodate the additional need for learning entailed by novelty; (3) Lengthening the theta cycle enhances associativity; (4) Even part-cycle lengthening may boost associativity; and (5) Artificial theta stimulation aimed at enhancing learning should employ low-end theta frequencies.
... Working memory encodes and stores information in its temporal context and permits its further manipulation to guide decision-making and behavior execution [100,101]. The dorsal striatum is involved in the initial storage of temporal information in working memory, and dysfunctions of the striatum or dopaminergic projections to the striatum are known to impair the execution of working memory [102][103][104]. ...
... Memory formation begins when environmental stimuli first elicit a timing mechanism, in which information about elapsed time is stored in working memory or short term. When the stimulus ends or another event happens, the value of that duration is stored in long-term memory [100,136]. The impairments of working memory and the delay in the decision and executive function in cilia-ablated mice further support the speculation of interval timing disruption in these mice. ...
Article
Full-text available
Almost all brain cells contain cilia, antennae-like microtubule-based organelles. Yet, the significance of cilia, once considered vestigial organelles, in the higher-order brain functions is unknown. Cilia act as a hub that senses and transduces environmental sensory stimuli to generate an appropriate cellular response. Similarly, the striatum, a brain structure enriched in cilia, functions as a hub that receives and integrates various types of environmental information to drive appropriate motor response. To understand cilia’s role in the striatum functions, we used loxP/Cre technology to ablate cilia from the dorsal striatum of male mice and monitored the behavioral consequences. Our results revealed an essential role for striatal cilia in the acquisition and brief storage of information, including learning new motor skills, but not in long-term consolidation of information or maintaining habitual/learned motor skills. A fundamental aspect of all disrupted functions was the “time perception/judgment deficit.” Furthermore, the observed behavioral deficits form a cluster pertaining to clinical manifestations overlapping across psychiatric disorders that involve the striatum functions and are known to exhibit timing deficits. Thus, striatal cilia may act as a calibrator of the timing functions of the basal ganglia-cortical circuit by maintaining proper timing perception. Our findings suggest that dysfunctional cilia may contribute to the pathophysiology of neuro-psychiatric disorders, as related to deficits in timing perception.
... Although there is wide consensus that cerebellar structures and prefrontal-striatal-hippocampal networks play a role, different proposals suggest different divisions of labor among these. In particular, the relationship between processing and remembering of absolute durations, relative order, and the relation to a regular isochronous beat has given rise to different hypothetical models [29][30][31][32]. Although the details of these models are under debate, they provide a starting point for understanding the neural implementation of a time-based context signal, as proposed in the most recent formulations of the phonological loop [33]. ...
... What appears to be shared by the tasks is a representation of information unfolding in time that cannot be readily represented as a path in space. Temporal order, possibly based on both absolute duration and relative position, handled by interacting brain networks [30,31], may be an essential component of representations created by the phonological loop. The temporal dimension would be bound to the phonological information related to language networks and motor networks that support articulation. ...
Article
Full-text available
The ability to accurately repeat meaningless nonwords or lists of spoken digits in correct order have been associated with vocabulary acquisition in both first and second language. Individual differences in these tasks are thought to depend on the phonological loop component of working memory. However, phonological working memory may itself depend on more elementary processes. We asked whether auditory non-verbal short-term memory (STM) for patterns in time supports immediate recall of speech-based sequences. Participants tapped temporal sequences consisting of short and long beeps and repeated nonsense sentences sounding like their native language or an unfamiliar language. As a language learning task, they also memorized familiar-word–foreign-word pairs. Word learning was directly predicted by nonsense sentence repetition accuracy. It was also predicted by temporal pattern STM. However, this association was mediated by performance on the repetition measure. We propose that STM for temporal patterns may reflect a component skill that provides the context signal necessary to encode order in phonological STM. It would be needed to support representation of the prosodic profile of language material, which allows syllables in words and words in sentences to be ordered and temporally grouped for short-term representation and long-term learning.
... Time perception is of particular interest in anxiety because it has been shown to rely on cognitive functions such as attentional control and working memory Droit-Volet & Zélanti, 2013;Gu et al., 2015;Zélanti & Droit-Volet, 2012), which are heavily implicated in anxiety (Moran, 2016;Shi et al., 2019). ...
... As the working memory task is a replication, it also has the benefit of potentially acting as a positive control for the novel time perception task. 2) The effect in the temporal bisection task would be explained by performance differences in working memory between the pathologically anxious and control groups, given the proposed relationship between temporal bisection and working memory Droit-Volet & Zélanti, 2013;Gu et al., 2015;Zélanti & Droit-Volet, 2012). As such, performance in the temporal bisection task should correlate with performance in the working memory task. ...
Conference Paper
Anxiety, the state of anticipating that a negative event may occur, can be adaptive by promoting harm-avoidant behaviours, and thus preparing an organism to react to threats. However, it can also spiral out of control, resulting in anxiety disorders, with these being one of the most common mental health issues leading to disability. Despite decades of research, progress on treating anxiety seems to have stalled. This lack of progress has been attributed, at least in part, to the gap between animal and human research. By adopting a cognitive task and anxiety manipulation that are translational, this thesis attempts to bridge the aforementioned gap by investigating the neurocognitive effects of adaptive and pathological anxiety in humans; research that could be in turn translated into animals. Towards that goal, a temporal bisection task and a threat-of-shock manipulation were used. The first experimental chapter (Chapter 3) showed that induced anxiety can reliably shift time perception, while fear does not, suggesting that anxiety and fear might be distinct entities. The second experimental chapter (Chapter 4) attempted to tease apart the mechanism of the aforementioned effect, by investigating whether a load manipulation shifts time perception similarly to induced anxiety. Load did not shift time perception; hence it is unclear whether anxiety leads to temporal alterations via ‘overloading’ limited cognitive resources. The third experimental (Chapter 5) chapter explored the neural correlates of the effect of anxiety on time perception using functional magnetic resonance imaging, employing a pilot and a pre-registered study. The findings suggested some overlap between anxiety and task related processing, leaving open the possibility that anxiety impacts cognition via commandeering finite mental resources. The (preliminary) data of the fourth experimental chapter (Chapter 6) suggested that time perception is not impaired in clinically anxious individuals, but working memory is, highlighting potential dissociations between adaptive and pathological anxiety. In the final chapter the findings are discussed in light of neurocognitive theories of anxiety, alongside a discussion of the overall approach of the thesis and future experiments that could clarify disparate findings.
... As far as the role of theta oscillations, we offer several speculations. A recent review by Gu et al. (2015) proposes a model that integrates interval timing and working memory and that theta oscillations serve as a neural code indexing temporal order, and duration information (Kösem, Gramfort, & van Wassenhove, 2014). In addition, we also speculate that the frontalmidline theta may partially reflect the mental effort dedicated to correcting the encoding erros of temporal information. ...
... Interestingly, such theta correction mechanism was not observed in the suprasecond durations or in participants with self-reported high depression.. This interpretation is consistent with previous reports that encoding of durations involve slow frequency oscillations such as delta-theta oscillations (Gu et al., 2015;Matell & Meck, 2004), and aligns with the perspective that frontal-midline theta oscillations are involved in memory encoding and mental calculation (Gärtner et al., 2015;Hsieh & Ranganath, 2014). Expanding on this, this frontal-midline theta correction mechanism may reflect processes related to conflict and error monitoring (e.g., Curtis & D'Esposito, 2003;Cavanagh and Frank, 2014). ...
Article
Full-text available
Mitigation plans during the early stages of COVID-19 provided a unique, antagonistic environment in which drastic changes occurred quickly and did so with minimal freedom of choice (e.g., involuntary transition from in-person to online classroom). As such, individuals of different beliefs and perspectives would respond differently to these mitigations. We examined the interaction between the Present-Hedonistic (PH) perspective and involuntary classroom transition on the belief in free will (N = 131). PH-oriented individuals exhibit a strong desire for choice while also welcome new opportunities and change. Importantly, the perceived freedom of choice and capacity for change also serve as foundational constructs to the belief in free will. Our results revealed that involuntary transition weakened the free will belief in those with lower PH but did not affect those of higher PH orientation. These findings suggest that the interplay between the perception of choice and capacity for change account for how individuals responded to the COVID-19 pandemic mitigation plans.
... However, the neuronal plausibility of such a coding scheme has been called into doubt: large time intervals would require an accumulator with (near-)unlimited capacity 3 , making it very costly to implement such a mechanism neuronally 4,5 . Given this, alternative timing models have been proposed that use oscillatory patterns or neuronal trajectories to encode temporal information [6][7][8][9] . For example, the striatal beat-frequency model 6,9,10 assumes that time intervals are encoded in the oscillatory firing patterns of cortical neurons, with the length of an interval being discernible, for time judgments, by the similarity of an oscillatory pattern with patterns stored in memory. ...
... Given this, alternative timing models have been proposed that use oscillatory patterns or neuronal trajectories to encode temporal information [6][7][8][9] . For example, the striatal beat-frequency model 6,9,10 assumes that time intervals are encoded in the oscillatory firing patterns of cortical neurons, with the length of an interval being discernible, for time judgments, by the similarity of an oscillatory pattern with patterns stored in memory. Neuronal trajectory models, on the other hand, use intrinsic neuronal patterns as markers for timing. ...
Article
Full-text available
Although time perception is based on the internal representation of time, whether the subjective timeline is scaled linearly or logarithmically remains an open issue. Evidence from previous research is mixed: while the classical internal-clock model assumes a linear scale with scalar variability, there is evidence that logarithmic timing provides a better fit to behavioral data. A major challenge for investigating the nature of the internal scale is that the retrieval process required for time judgments may involve a remapping of the subjective time back to the objective scale, complicating any direct interpretation of behavioral findings. Here, we used a novel approach, requiring rapid intuitive ‘ensemble’ averaging of a whole set of time intervals, to probe the subjective timeline. Specifically, observers’ task was to average a series of successively presented, auditory or visual, intervals in the time range 300–1300 ms. Importantly, the intervals were taken from three sets of durations, which were distributed such that the arithmetic mean (from the linear scale) and the geometric mean (from the logarithmic scale) were clearly distinguishable. Consistently across the three sets and the two presentation modalities, our results revealed subjective averaging to be close to the geometric mean, indicative of a logarithmic timeline underlying time perception.
... Oscillatory multiplexing has been proposed to mediate the integration of information across temporal scales during working memory and interval timing (Gu et al, 2015). Although the precise manner with which oscillatory multiplexing contributes to time estimation remains unclear, a literal read would be that information content, encoded in higher frequency activity, would be integrated over the time scales of the low-frequency oscillations (van Wassenhove, 2016). ...
... Although PAC has been proposed to mediate the integration of information across temporal scales for interval timing (Gu et al., 2015), the precise manner in which counting time would be implemented with oscillatory multiplexing remains difficult to elaborate (van Wassenhove, 2016). To clarify our results, we formulated a direct test of whether the generation of a time interval resulted from the online integration of endogenous information mediated by oscillatory multiplexing and investigated whether α-β PAC predicted timing behavior in an absolute manner between trials. ...
Preprint
Oscillatory coupling has been implicated in the representation and in the processing of information in the brain. Specific hypotheses suggest that oscillatory coupling may be relevant for the temporal coding of information but to which extent this may translate to conscious timing is unknown. Here, we tested the hypothesis that the temporal precision of self-generated timed actions may be controlled by phase-amplitude coupling (PAC). Using a timing task, we show the existence of significant alpha-beta (α-β) PAC, robust at the individual level, and specific to temporal production. Second, an increase in the strength of α-β PAC was associated with a smaller variance in time production, i.e. an increased precision in timing, but there was no correlation with the duration of the produced interval. Our results suggest an active role for α-β coupling in maintaining the precision of the endogenous temporal goal during time production: specifically, α oscillations may maintain the content of current cognitive states, thus securing the endogenous temporal code for duration estimation instantiated in β band. Oscillatory multiplexing may thus index the variance of neuronal computations, which translates into the precision of behavioral performance.
... However, the neuronal plausibility of such a coding scheme has been called into doubt: large time intervals would require an accumulator with (near-) unlimited capacity 3 , rendering it very costly to implement neuronally 4,5 . Given this, alternative timing models have been proposed that use oscillatory patterns or neuronal trajectories to encode temporal information [6][7][8][9] . For example, the striatal beat-frequency model 6,9,10 assumes that time intervals are encoded in the oscillatory firing patterns of cortical neurons, with the length of an interval being discernible, for time judgements, by the similarity of an oscillatory pattern with patterns stored in memory. ...
... Given this, alternative timing models have been proposed that use oscillatory patterns or neuronal trajectories to encode temporal information [6][7][8][9] . For example, the striatal beat-frequency model 6,9,10 assumes that time intervals are encoded in the oscillatory firing patterns of cortical neurons, with the length of an interval being discernible, for time judgements, by the similarity of an oscillatory pattern with patterns stored in memory. Neuronal trajectory models, on the other hand, use intrinsic neuronal patterns as markers for timing. ...
Preprint
Full-text available
Although time perception is based on the internal representation of time, whether the subjective timeline is scaled linearly or logarithmically remains an open issue. Evidence from previous research is mixed: while the classical internal-clock model assumes a linear scale with scalar variability, there is evidence that logarithmic timing provides a better fit to behavioral data. A major challenge for investigating the nature of the internal scale is that the retrieval process required for time judgments may involve a remapping of the subjective time back to the objective scale, complicating any direct interpretation of behavioral findings. Here, we used a novel approach, requiring rapid intuitive, 'ensemble' averaging of a whole set of time intervals, to probe the subjective timeline. Specifically, observers' task was to average a series of successively presented, auditory or visual, intervals in the time range 300-1300 ms. Importantly, the intervals were taken from three sets of durations, which were distributed such that the arithmetic mean (from the linear scale) and the geometric mean (from the logarithmic scale) were clearly distinguishable. Consistently across the three sets and the two presentation modalities, our results revealed subjective averaging to be close to the geometric mean, indicative of a logarithmic timeline underlying time perception.
... Conventionally, the scalar property of timing is typically stated as the variability growing proportional to the mean of the target duration(s) being timed (Gibbon et al., 1984(Gibbon et al., , 1997). The SBF model also accounts well for the anatomical, pharmacological, and electrophysiological properties of interval timing (Buhusi and Meck, 2005;Meck, 2006;Balci et al., 2008;Coull et al., 2011;Merchant et al., 2013;Gu et al., 2015Gu et al., , 2018Toda et al., 2017). ...
... The analysis of PC and MSN firing properties as a function of what, whether, when, and how often are becoming more amendable to study given the increase in the availability of online databases where the behavioral, pharmacological, and recording data can be reanalyzed in order to pursue new relations/interpretations while also trying to determine the value of placing older, less precise data in the context of new analysis tools that are rapidly becoming available. This will be especially important in the case of multiplexing the multiple lines of information contained in an individual neuron's signal that is being combined with millions of other neuronal signals and propagated through various networks with the goal of determining time epochs of coincidence and extracting those data points of interest at specific nodes (e.g., Gallistel and King, 2010;Gu et al., 2015;Caruso et al., 2018). ...
Article
Full-text available
The majority of studies in the field of timing and time perception have generally focused on sub- and supra-second time scales, specific behavioral processes, and/or discrete neuronal circuits. In an attempt to find common elements of interval timing from a broader perspective, we review the literature and highlight the need for cell and molecular studies that can delineate the neural mechanisms underlying temporal processing. Moreover, given the recent attention to the function of microtubule proteins and their potential contributions to learning and memory consolidation/re-consolidation, we propose that these proteins play key roles in coding temporal information in cerebellar Purkinje cells (PCs) and striatal medium spiny neurons (MSNs). The presence of microtubules at relevant neuronal sites, as well as their adaptability, dynamic structure, and longevity, makes them a suitable candidate for neural plasticity at both intra- and inter-cellular levels. As a consequence, microtubules appear capable of maintaining a temporal code or engram and thereby regulate the firing patterns of PCs and MSNs known to be involved in interval timing. This proposed mechanism would control the storage of temporal information triggered by postsynaptic activation of mGluR7. This, in turn, leads to alterations in microtubule dynamics through a “read-write” memory process involving alterations in microtubule dynamics and their hexagonal lattice structures involved in the molecular basis of temporal memory.
... These regions have been proposed to interact with the HPC during temporal duration memory (e.g. Gu et al., 2015;MacDonald et al., 2014) and consistent with this, Barnett et al. (2014) observed increased functional connectivity between the HPC and these regions when participants were presented with novel as opposed to old duration information (i.e. duration mismatch trials), suggesting that interaction between the HPC and timing regions supports the encoding of duration information. ...
... In addition to this, the temporal coding of sequences has been suggested to be supported by neural oscillations in the theta band (4-7 Hz) (Buzs� aki and Draguhn, 2004;Hasselmo and Eichenbaum, 2005;Lisman and Idiart, 1995;Lisman and Jensen, 2013;O'Keefe and Recce, 1993;Skaggs et al., 1996) and theta oscillations have been observed in the processing of temporal order (Crivelli-Decker et al., 2018;Heusser et al., 2016;Hsieh et al., 2011). Interestingly, neural oscillations have also been proposed to be involved in memory for duration information (Buhusi and Meck, 2005;Meck, 2004, 2000), and prior work has suggested that the theta rhythm can contribute to the coding of time intervals (Gu et al., 2015;Hasselmo and Stern, 2014). Indeed, hippocampal theta has been demonstrated to be important in the acquisition of trace conditioning (Hoffmann and Berry, 2009), discriminating temporal durations on the order of seconds (Nakazono et al., 2015) and in interacting with classical timing regions during learning such as the cerebellum and striatum (Berke et al., 2004;Hoffmann and Berry, 2009). ...
Article
Although a large body of research has implicated the hippocampus in the processing of memory for temporal duration, there is an exigent degree of inconsistency across studies that obfuscates the precise contributions of this structure. To shed light on this issue, the present review article surveys both historical and recent cross-species evidence emanating from a wide variety of experimental paradigms, identifying areas of convergence and divergence. We suggest that while factors such as time-scale (e.g. the length of durations involved) and the nature of memory processing (e.g. prospective vs. retrospective memory) are very helpful in the interpretation of existing data, an additional important consideration is the context in which the duration information is experienced and processed, with the hippocampus being preferentially involved in memory for durations that are embedded within a sequence of events. We consider the mechanisms that may underpin temporal duration memory and how the same mechanisms may contribute to memory for other aspects of event sequences such as temporal order.
... Prototypical examples include pendulums in mechanics, feedback and relaxation oscillators in electronics, business cycles in economics and heart beat and circadian rhythms in biology. Particularly relevant to our context is the fact that the neurons in our brain can be thought of as oscillators on account of the periodic spiking and firing of the action potential [28,10]. Consequently, functional brain circuits such as cortical columns are being increasingly analyzed in terms of networks of coupled oscillators [28]. ...
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Coupled oscillators are being increasingly used as the basis of machine learning (ML) architectures, for instance in sequence modeling, graph representation learning and in physical neural networks that are used in analog ML devices. We introduce an abstract class of neural oscillators that encompasses these architectures and prove that neural oscillators are universal, i.e, they can approximate any continuous and casual operator mapping between time-varying functions, to desired accuracy. This universality result provides theoretical justification for the use of oscillator based ML systems. The proof builds on a fundamental result of independent interest, which shows that a combination of forced harmonic oscillators with a nonlinear read-out suffices to approximate the underlying operators.
... A wide range of research involving dual task paradigms demonstrated a shortening of perceived time with the increasing of the concurrent task difficulty (Brown, 1985;Zakay and Tsal, 1989;Rammsayer and Ulrich, 2005;Castellotti et al., 2022); indeed, as theorized by the attention allocation model, paying attention only to time induces temporal overestimation, whereas diverting attention away from time causes time underestimation, with a positive relationship with the difficulty level of the concurrent nontemporal tasks [ (Burnside, 1971;Thomas and Weaver, 1975;Macar et al., 1994), for reviews, see (Block et al., 2010;Gu et al., 2015)]. ...
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Several studies on time estimation showed that the estimation of temporal intervals is related to the amount of attention devoted to time. This is explained by the scalar timing theory, which assumes that attention alters the number of pulses transferred by our internal clock to an accumulator that keeps track of the elapsed time. In a previous study, it was found that time underestimation during cognitive-demanding tasks was more pronounced while walking than while sitting, whereas no clear motor-induced effects emerged without a concurrent cognitive task. What remains unclear then is the motor interference itself on time estimation. Here we aim to clarify how the estimation of time can be influenced by demanding motor mechanisms and how different motor activities interact with concurrent cognitive tasks during time estimation. To this purpose, we manipulated simultaneously the difficulty of the cognitive task (solving arithmetic operations) and the motor task. We used an automated body movement that should require no motor or mental effort, a more difficult movement that requires some motor control, and a highly demanding movement requiring motor coordination and attention. We compared the effects of these three types of walking on time estimation accuracy and uncertainty, arithmetic performance, and reaction times. Our findings confirm that time estimation is affected by the difficulty of the cognitive task whereas we did not find any evidence that time estimation changes with the complexity of our motor task, nor an interaction between walking and the concurrent cognitive tasks. We can conclude that walking, although highly demanding, does not have the same effects as other mental tasks on time estimation.
... Neuroscientists have often characterized strong context-sensitivity in invertebrate models when changes in the inputs to a circuit and/or its neuromodulatory environment (i.e., what neuromodulators are present in the extracellular milieu) shift the circuit's coding properties (Bargmann, 2012;Marder, 2012). Some neuroscientists think these models explain the multi-functionality of cortical regions better than models that presume segregated sub-populations or invariant computations (De Wit & Matheson, 2022;Gu, van Rijn, and Meck, 2015). ...
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Functional localization is a central aim of cognitive neuroscience. But the nature and extent of functional localization in the human brain have been subjects of fierce theoretical debate since the 19th Century. In this essay, I first examine how concepts of functional localization have changed over time. I then analyze contemporary challenges to functional localization drawing from research on neural reuse, neural degeneracy, and the context‐dependence of neural functions. I explore the consequences of these challenges for topics in philosophy of science and philosophy of mind including localizationist versus anti‐localizationist approaches to cognitive neuroscience, multiple realizability, reverse inference in functional neuroimaging, and the modularity of mind.
... Multifocal epileptic discharges may be encoded by striatal medium spiny neurons (MSNs) that detect coincident activity, and via the SBF model synchronize the ictal activity to MSNs 'to be timed' signal. [77][78][79] The observation that periodicity changes during SSPE disease progression with shortening of inter-GPD intervals could be explained by higher occurrence of pathological synchronicity and therefore more frequent coincident activity detection in the cerebral cortex due to progressive neuronal loss compared with a normal cortex with higher complexity and variability. ...
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Periodic discharges are a rare peculiar electroencephalogram pattern, occasionally associated with motor or other clinical manifestations, usually observed in critically ill patients. Their underlying pathophysiology remains poorly understood. Epileptic spasms in clusters and periodic discharges with motor manifestations share similar electroencephalogram pattern and some aetiologies of unfavourable prognosis such as subacute sclerosing panencephalitis or herpes encephalitis. Arterial spin labelling magnetic resonance imaging identifies localizing ictal and inter-ictal changes in neurovascular coupling, therefore assumed able to reveal concerned cerebral structures. Here, we retrospectively analysed ictal and inter-ictal arterial spin labelling magnetic resonance imaging in patients aged 6 months to 15 years (median 3 years 4 months) with periodic discharges including epileptic spasms, and compared these findings with those of patients with drug-resistant focal epilepsy who never presented periodic discharges nor epileptic spasms as well as to those of age-matched healthy controls. Ictal electroencephalogram was recorded either simultaneously with arterial spin labelling magnetic resonance imaging or during the close time lapse of patients’ periodic discharges, whereas inter-ictal examinations were performed during the patients’ active epilepsy but without seizures during the arterial spin labelling magnetic resonance imaging. Ictal arterial spin labelling magnetic resonance imaging was acquired in five patients with periodic discharges [subacute sclerosing panencephalitis (1), stroke-like events (3), West syndrome with cortical malformation (1), two of them also had inter-ictal arterial spin labelling magnetic resonance imaging]. Inter-ictal group included patients with drug-resistant epileptic spasms of various aetiologies (14) and structural drug-resistant focal epilepsy (8). Cortex, striatum and thalamus were segmented and divided in six functional subregions: prefrontal, motor (rostral, caudal), parietal, occipital and temporal. Rest cerebral blood flow values, absolute and relative to whole brain, were compared with those of age-matched controls for each subregion. Main findings were diffuse striatal as well as cortical motor cerebral blood flow increase during ictal examinations in generalized periodic discharges with motor manifestations (subacute sclerosing panencephalitis) and focal cerebral blood flow increase in corresponding cortical-striatal-thalamic subdivisions in lateralized periodic discharges with or without motor manifestations (stroke-like events and asymmetrical epileptic spasms) with straight topographical correlation with the electroencephalogram focus. For inter-ictal examinations, patients with epileptic spasms disclosed cerebral blood flow changes in corresponding cortical-striatal-thalamic subdivisions (absolute-cerebral blood flow decrease and relative-cerebral blood flow increase), more frequently when compared with the group of drug-resistant focal epilepsies, and not related to Vigabatrin treatment. Our results suggest that corresponding cortical-striatal-thalamic circuits are involved in periodic discharges with and without motor manifestations, including epileptic spasms, opening new insights in their pathophysiology and new therapeutical perspectives. Based on these findings, we propose a model for the generation of periodic discharges and of epileptic spasms combining existing pathophysiological models of cortical-striatal-thalamic network dynamics.
... First, frontal midline theta oscillations are involved in encoding. A recent review by Gu et al. (2015) proposes a model that integrates interval timing and working memory, and that theta oscillations serve as a neural code indexing temporal order and duration information (Kösem et al., 2014). This interpretation is consistent with previous reports that encoding of durations involves slow frequency oscillatory activities such as delta-theta oscillations (Gu et al., 2018;Matell & Meck, 2004), and aligns with the perspective that frontal midline theta oscillations are involved in memory encoding and mental calculation (Gärtner et al., 2015;Hsieh & Ranganath, 2014). ...
Article
A growing collection of observations has demonstrated the presence of multiple neural oscillations participating in human temporal cognition and psychiatric pathologies such as depression and anxiety. However, there remains a gap in the literature regarding the specific roles of these neural oscillations during interval timing, and how these oscillatory activities might vary with the different levels of mental health. The current study examined the participation of the frontal midline theta and occipital alpha oscillations, both of which are prevalent cortical oscillatory markers frequently reported in working memory and time perception paradigms. Participants performed a time reproduction task in the sub- (400, 600, 800 ms) and supra-second timescales (1600, 1800, 2000 ms) while undergoing scalp EEG recordings. Anxiety and depression levels were measured via self-report mental health inventories. Time–frequency analysis of scalp EEG revealed that both frontal midline and occipital alpha oscillations were engaged during the encoding of the durations. Furthermore, we observed that the correlational relationship between frontal midline theta power and the reproduction performance in the sub-second range was modulated by state anxiety. In contrast, the correlational relationship between occipital alpha and the reproduction performance of supra-second intervals was modulated by depression and trait anxiety. The results offer insights on how alpha and theta oscillations differentially play a role in interval timing and how mental health further differentially relates these neural oscillations to sub- and supra-second timescales.
... In tasks that require reproduction of an experienced interval, the performance is linked to the attentional gate and working memory (Block et al. 1998;Mehlabani et al. 2020;Mioni 2018;Mioni et al. 2016). It has been suggested that working memory more actively contribute to the representation of durations in time reproduction tasks through a top-down modulation (Gu et al. 2015). In addition, it is reported that the inter-individual working memory might correlate with time reproduction ability (Broadway and Engle 2011). ...
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The timing ability plays an important role in everyday activities and is influenced by several factors such as the attention and arousal levels of the individuals. The effects of these factors on time perception have been interpreted through psychological models of time, including Attentional Gate Model (AGM). On the other hand, research has indicated that neurofeedback (NFB) training improves attention and increases arousal levels in the clinical and healthy population. Regarding the link between attentional processing and arousal levels and NFB and their relation to time perception, this study is a pilot demonstration of the influence of SMR–Beta1 (12–18 Hz) NFB training on time production and reproduction performance in healthy adults. To this end, 12 (9 female and 3 males; M = 26.3, SD = 3.8) and 12 participants (7 female and 5 males; M = 26.9, SD = 3.1) were randomly assigned into the experimental (with SMR–Beta1 NFB) and control groups (without any NFB training), respectively. The experimental group underwent intensive 10 sessions (3 days a week) of the 12–18 Hz up-training. Time production and reproduction performance were assessed pre and post NFB training for all participants. Three-way mixed ANOVA was carried out on T-corrected scores of reproduction and production tasks. Correlation analysis was also performed between SMR–Beta1 and time perception. While NFB training significantly influenced time production (P < 0.01), no such effect was observed for the time reproduction task. The results of the study are finally discussed within the frameworks of AGM, dual-process and cognitive aspects of time perception. Overall, our results contribute to disentangling the underlying mechanisms of temporal performance in healthy individuals.
... The cumulative interference of these spectra throughout the brain results in the overall composition of brain dynamics. The manifestation of previous experiences, current representation, and future trajectories is stochastically embedded within these spatiotemporal spectra [180]. Furthermore, the objective of the brain is to refine its possible instantaneous frequency distributions to optimize its performance in the environment. ...
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The human brain is a complex network whose ensemble time evolution is directed by the cumulative interactions of its cellular components, such as neurons and glia cells. Coupled through chemical neurotransmission and receptor activation, these individuals interact with one another to varying degrees by triggering a variety of cellular activity from internal biological reconfigurations to external interactions with other network agents. Consequently, such local dynamic connections mediating the magnitude and direction of influence cells have on one another are highly nonlinear and facilitate, respectively, nonlinear and potentially chaotic multicellular higher-order collaborations. Thus, as a statistical physical system, the nonlinear culmination of local interactions produces complex global emergent network behaviors, enabling the highly dynamical, adaptive, and efficient response of a macroscopic brain network. Microstate reconfigurations are typically facilitated through synaptic and structural plasticity mechanisms that alter the degree of coupling (magnitude of influence) neurons have upon each other, dictating the type of coordinated macrostate emergence in populations of neural cells. These can emerge in the form of local regions of synchronized clusters about a center frequency composed of individual neural cell collaborations as a fundamental form of collective organization. A single mode of synchronization is insufficient for the computational needs of the brain. Thus, as neural components influence one another (cellular components, multiple clusters of synchronous populations, brain nuclei, and even brain regions), different patterns of neural behavior interact with one another to produce an emergent spatiotemporal spectral bandwidth of neural activity corresponding to the dynamical state of the brain network. Furthermore, hierarchical and self-similar structures support these network properties to operate effectively and efficiently. Neuroscience has come a long way since its inception; however, a comprehensive and intuitive understanding of how the brain works is still amiss. It is becoming evident that any singular perspective upon the grandiose biophysical complexity within the brain is inadequate. It is the purpose of this paper to provide an outlook through a multitude of perspectives, including the fundamental biological mechanisms and how these operate within the physical constraints of nature. Upon assessing the state of prior research efforts, in this paper, we identify the path future research effort should pursue to inspire progress in neuroscience.
... Représentation schématique du modèle de la fréquence des battements striataux (Gu, van Rijn & Meck, 2015 ;Matell & Meck, 2000. ...
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La majorité des systèmes vivants sont capables d’extraire des informations disponibles dans l’environnement pour estimer des magnitudes. De nombreuses études ont mis en évidence que le traitement de l’espace, du temps et de la numérosité présente des similarités. Deux courants théoriques s’opposent quant à la modélisation du système de traitement des grandeurs. La théorie AToM (Walsh, 2003) défend l’idée d’un système sans hiérarchie ; alors que d’autres, comme la théorie CMT (Casasanto & Boroditsky, 2008) attribuent un rôle prépondérant à l’espace au sein du système. Des processus dédiés au traitement des informations spatiales seraient détournés, adaptés pour rendre possible l’estimation d’autres magnitudes, telles que la numérosité ou le temps (voir Leibovitch et al., 2017). Le principal argument en faveur de cette hiérarchisation est l’asymétrie des effets d’interférence espace-temps. L’espace biaise nos estimations temporelles (effet Kappa), alors que le temps ne semble pas, ou très peu, influencer nos estimations spatiales (effet Tau). L’objectif de cette thèse est d’étudier les conditions d’émergence de l’effet Tau pour affiner les modèles théoriques de l’estimation des magnitudes. Est-il possible d’obtenir une symétrie, voire une asymétrie "inversée", des effets d’interférence espace-temps ? Pourquoi l’effet Tau nécessite une demande élevée en ressources cognitives pour émerger, mais pas l’effet Kappa ? Pour répondre à ces questions, nous avons mis en place un protocole utilisant des tâches d’estimations temporelles et spatiales, durant lesquelles le temps et l’espace variaient de manière orthogonale. La première étude montre qu’en réduisant la discriminabilité des distances, le coût cognitif de la tâche spatiale augmente. Par ricochet, l’effet Tau est amplifié, allant même jusqu’à provoquer une asymétrie inverse des interférences (Tau > Kappa). La seconde étude permet d’écarter l’impact de biais méthodologiques dans les premières expériences. Elle met aussi en lumière un lien entre les performances interindividuelles des participants, et la force de leur effet Tau. De manière plutôt contre-intuitive, cette étude montre que plus un participant est efficace pour estimer l’espace, plus il est interféré par le temps. La troisième étude montre que les effets Tau et Kappa ne sont pas impactés de la même manière par des contextes émotionnels négatifs. L’effet Tau est insensible aux inductions émotionnelles, alors que l’effet Kappa, lui, est amplifié. Nous interprétons l’ensemble de nos résultats en proposant que les effets Tau et Kappa ne prennent pas leurs origines aux mêmes étapes du traitement de l’information. Par conséquent, ils ne seraient pas issus du même processus, et donc du même système. Ces observations nous amènent finalement à questionner l’importance de cette signature comportementale au sein du débat sur la hiérarchisation du système commun du traitement des magnitudes.
... The coordination of neural activity through Mthal, which is anatomically and functionally central to primary motor circuits, is critical to the emergence of effective motor behaviors (Gu, van Rijn, & Meck, 2015). In Chapter 2, I show that two functionally distinct neuronal populations in Mthal are briefly modulated around movement . ...
Thesis
The motor thalamus (Mthal) is poised between subcortical and cortical motor structures and is, in the simplest terms, understood as a “relay” for neural activity. However, it is increasingly appreciated that Mthal plays a complex, integrative function. This view is emerging from clinical applications where modifying Mthal activity ameliorates the motor symptoms of several movement disorders, including Parkinson’s disease (PD). Little is understood, however, about how neural signals are integrated by Mthal and how this integration shapes ongoing behavior. Answers to these questions hold important implications for basic science and future therapies of brain disease. My studies address major questions about Mthal physiology by recording chronic, in vivo electrophysiology in behaving rats. Given the parallels between rodent and human motor circuits, rats are a useful translational model. I leveraged a two-alternative forced choice task where movement is both ballistic and lateralized. I found that Mthal single unit activity (or “spiking”) is greatly enhanced around movement initiation. Importantly I identified units that fired in a manner that was either “directionally selective” or “non-directionally selective”. Using two performance measures, reaction time (RT) and movement time (MT), I also show that Mthal activity is proportional to the speed of movement. Directionally selective units correlate with RT and MT, non-directionally selective units correlate exclusively with RT. Mthal spiking is known to be correlated with rhythmic oscillations in the extracellular local field potential (LFP). I therefore determined relationships between Mthal unit spiking, behavior and LFP. I discovered that the phase of low frequency oscillations in the delta band (1-4 Hz) predicts spike timing, especially for directionally selective units. Delta phase also predicts RT and aligns to each event, suggesting a role in task timing. The power of higher frequency oscillations, namely beta (13-30 Hz) and low-gamma (30-70 Hz), are nested within the delta phase. Taken together, these results support a model whereby delta phase regulates high-frequency interactions and neuronal excitability in Mthal, which reflects motor performance. To begin parsing behavioral causality with spatiotemporal precision, I implemented a suite of optogenetic tools to anatomically isolate Mthal circuitry. I show that an adeno-associated virus injected in upstream structures can be reliably trafficked to and expressed in Mthal. These techniques establish methods to test hypotheses concerning complex spike-LFP and LFP-LFP interactions ultimately leading to a better understanding of how movement signals are mediated by Mthal.
... With respect to this representation, the wealth of models and theories on timing can be coarsely divided into two classes. In dedicated clock models (e.g., Gibbon, 1977;Gu et al., 2015;Matell & Meck, 2004;van Rijn et al., 2014), the representation of time is functionally decoupled from the imperative stimulus. These models assume that sensory events are processed and subsequently fed into a largely independent timing system. ...
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Different theories have been proposed to explain how the human brain derives an accurate sense of time. One specific class of theories, intrinsic clock theories, postulate that temporal information of a stimulus is represented much like other features such as color and location, bound together to form a coherent percept. Here, we explored to what extent this holds for temporal information after it has been perceived and is held in working memory for subsequent comparison. We recorded EEG of participants who were asked to time stimuli at lateral positions of the screen followed by comparison stimuli presented in the center. Using well-established markers of working memory maintenance, we investigated whether the usage of temporal information evoked neural signatures that were indicative of the location where the stimuli had been presented, both during maintenance and during comparison. Behavior and neural measures including the contralateral delay activity, lateralized alpha suppression, and decoding analyses through time all supported the same conclusion: The representation of location was strongly involved during perception of temporal information, but when temporal information was to be used for comparison, it no longer showed a relation to spatial information. These results support a model where the initial perception of a stimulus involves intrinsic computations, but that this information is subsequently translated to a stimulus-independent format to be used to further guide behavior.
... This design enabled to address the possibility of internal timing or duration being explicitly available to awareness through self-referential metacognition (Block, 1995;. Because current neuroscientific models posit that internal dynamics in timing are mediated by oscillatory or statedependent network dynamics (Laje & Buonomano, 2013;Karmarkar & Buonomano, 2007;Buhusi & Meck, 2005;Merchant et al., 2013;Allman et al., 2014;Gu et al., 2015;van Wassenhove, 2016;Bueno et al., 2017), we combined magneto-and electroencephalography (M/EEG) to quantify the dynamics of oscillatory brain responses when participants engaged in self-generated and self-assessed timing. Using a temporal production task to assess metacognition provided several paradigmatic and conceptual benefits. ...
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Metacognition, the ability to know about one’s thought process, is self-referential. Here, we combined psychophysics and time-resolved neuroimaging to explore metacognitive inference on the accuracy of a self-generated behavior. Human participants generated a time interval and evaluated the signed magnitude of their temporal production. We show that both self-generation and self-evaluation relied on the power of beta oscillations (β; 15−40 Hz) with increases in early β power predictive of increases in duration. We characterized the dynamics of β power in a low dimensional space (β state-space trajectories) as a function of timing and found that the more distinct trajectories, the more accurate metacognitive inferences were. These results suggest that β states instantiates an internal variable determining the fate of the timing network’s trajectory, possibly as release from inhibition. Altogether, our study describes oscillatory mechanisms for timing, suggesting that temporal metacognition relies on inferential processes of self-generated dynamics.
... Neurobiologically, the Socio-Temporal Brain hypothesis is built on the striatal beat frequency (SBF) model (Gu, van Rijn, & Meck, 2015;Schirmer et al., 2016). ...
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Increasing empirical research shows a deep connection between timing processes and neural processing of social information. An integrative theoretical framework for prospective studies in humans was recently proposed, linking timing to sociality. A similar framework guiding research in non-human animals is desirable, ideally encompassing as many taxonomic groups and sensory modalities as possible in order to embrace the diversity of social and timing behaviour across species. Here we expand on a previous theoretical account, introducing this debate to animal behaviour. We suggest adopting an evolutionary perspective on social timing in animals: i.e. a comparative approach to probe the link between temporal and social behaviour across a broad range of animal species. This approach should advance our understanding of animal social timing that is, how social behaviour and timing are mutually affected, and possibly of its evolutionary history in our own lineage. We conclude by identifying outstanding questions and testable hypotheses in animal social timing.
... Neurobiologically, the Socio-Temporal Brain hypothesis is built on the striatal beat frequency (SBF) model (Gu, van Rijn, & Meck, 2015;Schirmer et al., 2016). ...
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Increasing empirical research shows a deep connection between timing processes and neural processing of social information. An integrative theoretical framework for prospective studies in humans was recently proposed, linking timing to sociality. A similar framework guiding research in non-human animals is desirable, ideally encompassing as many taxonomic groups and sensory modalities as possible in order to embrace the diversity of social and timing behaviour across species. Here we expand on a previous theoretical account, introducing this debate to animal behaviour. We suggest adopting an evolutionary perspective on social timing in animals: i.e. a comparative approach to probe the link between temporal and social behaviour across a broad range of animal species. This approach should advance our understanding of animal social timing that is, how social behaviour and timing are mutually affected, and possibly of its evolutionary history in our own lineage. We conclude by identifying outstanding questions and testable hypotheses in animal social timing.
... If we assume a generic horizontal section, the diameter of a cortical or hippocampal glutamatergic synapse ranges 0.2-1 μm [15][16][17][18]. Assuming an AZ of circular space and the cleft of $20 nm, we get a volume of cylindrical space which many authors use to study the synaptic transmission by a computer modeling approach [14,16,19]. ...
Chapter
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The brain is probably the most complex machinery for information processing we can imagine. The amount of data it manages is extremely huge. Any conscious or unconscious event both internal and coming from the environment needs to be perceived, elaborated, and responded with an appropriate action. Moreover, the high-level activities of mind require the connection of logical elaboration, the relationship with past experience (memory), and the transfer of information among different areas of the brain participating to the elaboration of the thought. Almost all brain illnesses or even simple defaults can be related to a corruption of the basic system which manage information in the brain. The main actors in transferring and managing information are the synapses, and then the understanding of the brain information processing cannot disregard the full understanding of the synaptic functionality. In the present chapter, by using as example the most common type of the brain synapse (the glutamatergic synapse), we will present the basic mechanism of synaptic transmission stressing some of the most relevant mechanisms which regulate the transfer and management of information.
... These considerations lead to another question that could be answered in our recently running research project, whether the ''WM-TIP'' relationships are characteristic selectively for millisecond TIP or also for other temporal levels, namely, several hundred millisecond or multisecond domains. There is some evidence that the interval timing (addressed usually multisecond level) and WM can originate from the same oscillatory brain activity and may share common cognitive properties, such as attentional or executive resources (for the recent review see Gu et al., 2015). These common properties were reviewed from behavioral, anatomical, pharmacological, and neuropsychological perspectives. ...
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Working memory (WM) is a limited-capacity cognitive system that allows the storage and use of a limited amount of information for a short period of time. Two WM processes can be distinguished: maintenance (i.e., storing, monitoring, and matching information) and manipulation (i.e., reordering and updating information). A number of studies have reported an age-related decline in WM, but the mechanisms underlying this deterioration need to be investigated. Previous research, including studies conducted in our laboratory, revealed that age-related cognitive deficits are related to decreased millisecond timing, i.e., the ability to perceive and organize incoming events in time. The aim of the current study was: (1) to identify in the elderly the brain network involved in the maintenance and manipulation WM processes; and (2) to use an fMRI task to investigate the relation between the brain activity associated with these two processes and the efficiency of temporal information processing (TIP) on a millisecond level reflected by psychophysical indices. Subjects were 41 normal healthy elderly people aged from 62 to 78 years. They performed: (1) an auditory verbal n-back task for assessing WM efficiency in an MRI scanner; and (2) a psychophysical auditory temporal-order judgment (TOJ) task for assessing temporal resolution in the millisecond domain outside the scanner. The n-back task comprised three conditions (0-, 1-, and 2-back), which allowed maintenance (1- vs. 0-back comparisons) and manipulation (2- vs. 1-back comparisons) processes to be distinguished. Results revealed the involvement of a similar brain network in the elderly to that found in previous studies. However, during maintenance processes, we found relatively limited and focused activations, which were significantly extended during manipulation. A novel result of our study, never reported before, is an indication of significant moderate correlations between the efficiency of WM and TIP. These correlations were found only for manipulation but not for maintenance. Our results confirmed the hypothesis that manipulation in the elderly is a dynamic process requiring skilled millisecond timing with high temporal resolution. We conclude that millisecond timing contributes to WM manipulation in the elderly, but not to maintenance.
... In research on non-meditators, brain regions associated with WM processing are prefrontal, parietal and medial temporal regions, with other regions recruited for sensory modality specific WM functions (Christophel et al., 2017;Gu et al., 2015). Oscillatory activity is modulated in these brain regions during performance of WM functions. ...
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Objectives Mindfulness meditation has been shown to improve working memory (WM). However, brain activity underpinning these improvements is underexplored. In meditation-naïve individuals, increased fronto-midline theta and parieto-occipital alpha oscillations, and steeper 1/f aperiodic activity during WM correlate with better WM performance. Resting theta and alpha oscillations have been found to differ in meditators, but WM-related oscillations and 1/f aperiodic activity have not been examined. Additionally, WM-related event-related-potentials (ERPs) are modulated by attention, which is enhanced by mindfulness meditation, so these neural measures are candidate explanations for WM improvement in mindfulness meditators.Methods We recorded electroencephalography (EEG) from 29 meditation-naïve controls and 29 experienced mindfulness meditators during a Sternberg WM task and compared theta, alpha and 1/f aperiodic activity during the WM delay, and ERPs time-locked to the WM probe.ResultsCompared to controls, meditators demonstrated greater WM accuracy (p = 0.008, Cohen’s d = 0.688), earlier left-temporal ERP responses and a more frontal distribution of activity (FDR-p = 0.0186, η2 = 0.0903), as well as a reduction in overall neural response strength (FDR-p = 0.0098, η2 = 0.1251). A higher proportion of meditators showed theta oscillations during the WM delay, but no other differences in theta, alpha or 1/f aperiodic activity were present.Conclusions Results suggest that increased WM performance in mindfulness meditators might not result from higher amplitudes of typical WM activity, but instead from an alternative pattern of brain region engagement during WM decision making, allowing more accurate responses with less neural activation (perhaps reflecting increased neural efficiency).
... Oscillatory coupling could mediate the integration of information across temporal scales during interval timing (Gu et al., 2015) so that higher-frequency activity would presumably integrate over the time scales of low-frequency neural activity (van Wassenhove, 2016). The information-theoretic internal clock (Treisman, 1963, for review see Kononowicz and van Wassenhove, 2016) implies that duration estimation results from the integration of information (i.e., a count of number of pulses or events) over time: the high-frequency activity would thus index pulses generated by the pacemaker, whereas low-frequency oscillations would implement the gating and accumulation of pulses. ...
Article
Precise timing is crucial for many behaviors ranging from conversational speech to athletic performance. The precision of motor timing has been suggested to result from the strength of phase–amplitude coupling (PAC) between the phase of alpha oscillations (α, 8–12 Hz) and the power of beta activity (β, 14–30 Hz), herein referred to as α–β PAC. The amplitude of β oscillations has been proposed to code for temporally relevant information and the locking of β power to the phase of α oscillations to maintain timing precision. Motor timing precision has at least two sources of variability: variability of timekeeping mechanism and variability of motor control. It is ambiguous to which of these two factors α–β PAC should be ascribed: α–β PAC could index precision of stopwatch-like internal timekeeping mechanisms, or α–β PAC could index motor control precision. To disentangle these two hypotheses, we tested how oscillatory coupling at different stages of a time reproduction task related to temporal precision. Human participants encoded and subsequently reproduced a time interval while magnetoencephalography was recorded. The data show a robust α–β PAC during both the encoding and reproduction of a temporal interval, a pattern that cannot be predicted by motor control accounts. Specifically, we found that timing precision resulted from the trade-off between the strength of α–β PAC during the encoding and during the reproduction of intervals. These results support the hypothesis that α–β PAC codes for the precision of temporal representations in the human brain.
... How these factors are incorporated within the neural mechanisms underlying human time perception remains poorly understood. Most research on human time perception concentrates on evidencing a pacemaker-driven "internal clock" (2)(3)(4)(5). "Internal clock" approaches posit the existence of an internal timekeeper, specialized for the perception of objective time. Here, regular physiological or neural processes produce rhythmic ticks like the hands of a clock which are counted by an accumulator, such that more ticks corresponds to more time (6). ...
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Many contemporary models of time perception are based on the notion that our brain houses an internal "clock", specialized for tracking duration. Here we show that specialized mechanisms are unnecessary, and that human-like duration judgements can be reconstructed from neural responses during sensory processing. Healthy human participants watched naturalistic, silent videos and rated their duration while fMRI was acquired. We constructed a computational model that predicts video durations from salient events in participants' visual cortex activation. This model reproduced biases in participants' subjective reports, whereas control models trained on auditory or somatosensory activity did not. Our data reveal that subjective time is inferred from information arising during the perception of our dynamic sensory environment, providing a computational basis for an end-to-end account of time perception.
... В разработанной недавно формализованной SBF модели кора возбуждает однотипные шипиковые клетки [15, 49,117]. Однако не учтено то обстоя тельство, что активность стрионигральных и стри опаллидарных шипиковых клеток, одновременно возбуждаемых одними и теми же нейронами коры, разнонаправленно модулируется дофамином (см. ...
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A mechanism of time perception in subsecond scale, which we proposed earlier [Sil'kis I. UFN. 2011. 42:41–56] now is supplemented in view of that various factors influence the processing of sensory information. This mechanism is based on the assumption that since there is no necessity to determine time parameters of sensory stimuli regardless of their physical properties and there is no special organ for time perception, a processing of all incoming information is performed in the same parallel associative and limbic neural circuits. These circuits are: neocortex (basolateral amygdala) – basal ganglia – thalamus – neocortex (basolateral amygdala), and neocortex – subthalamic nucleus – pedunculopontine nucleus – thalamus – neocortex. The time parameters of a stimulus are determined based on the clock rate of information processing. This rate is inversely proportional to the duration of one cycle of repeated excitation of the neocortex (about 20–25 ms). Such excitation is provided by circulation of activity in mentioned neural circuits. The duration of circulation depends on such factors as the strength of a stimulus, its emotional significance, attention, and current concentrations of neuromodulators. It follows from proposed unified mechanism that any factor reinforcing (weakening) the initial neural representation of physical properties of a stimulus in the neocortex and therefore leading to increase (decrease) in the efficacy of cortico-striatal inputs, should facilitate (hinder) the disinhibition of the thalamus through the basal ganglia and its excitation by the pedunculopontine nucleus. Subsequent decrease (increase) in duration of activity circulation in considered neural loops will cause a rise (fall) in clock rate, and overestimation (underestimation) of perceived time. This mechanism can serve the neurophysiological basis for recently proposed
... This property likely makes it too transient to track time over multiple seconds. Increases in cortical theta have also been associated with interval timing tasks where sustained increases in cortical theta power occur during the encoding of the standard duration in a temporal comparison task [51,52], though whether coherence between HIPP and mPFC remains high across this entire duration has not been tested. ...
... 3. A direct implementation of neural oscillations as pacemakers for time perception has also been deemed computationally intractable (Miall 1989). Alternatively, the internal clock may operate on the logic of coincidence detectors, which would read out the phase synchronization across multiple time scales (Gallistel 1990), or the activity level of oscillators set into activity by a timing task (Gu et al. 2015). This animal model is under active investigation. ...
... This design enabled to address the possibility of internal timing or duration being explicitly available to awareness through self-referential metacognition (Block, 1995;. Because current neuroscientific models posit that internal dynamics in timing are mediated by oscillatory or statedependent network dynamics (Laje & Buonomano, 2013;Karmarkar & Buonomano, 2007;Buhusi & Meck, 2005;Merchant et al., 2013;Allman et al., 2014;Gu et al., 2015;van Wassenhove, 2016;Bueno et al., 2017), we combined magneto-and electroencephalography (M/EEG) to quantify the dynamics of oscillatory brain responses when participants engaged in self-generated and self-assessed timing. Using a temporal production task to assess metacognition provided several paradigmatic and conceptual benefits. ...
Article
Metacognition, the ability to know about one's thought process, is self-referential. Here, we combined psychophysics and time-resolved neuroimaging to explore metacognitive inference on the accuracy of a self-generated behavior. Human participants generated a time interval and evaluated the signed magnitude of their temporal production. We show that both self-generation and self-evaluation relied on the power of beta oscillations (β; 15-40 Hz) with increases in early β power predictive of increases in duration. We characterized the dynamics of β power in a low-dimensional space (β state-space trajectories) as a function of timing and found that the more distinct trajectories, the more accurate metacognitive inferences were. These results suggest that β states instantiate an internal variable determining the fate of the timing network's trajectory, possibly as release from inhibition. Altogether, our study describes oscillatory mechanisms for timing, suggesting that temporal metacognition relies on inferential processes of self-generated dynamics.
... Syllables are fundamental units in determining speech rhythm (Geiser et al., 2008) and speech intelligibility depends strongly on syllabic structure (Ramus et al., 1999) and syllable rhythm (Ghitza & Greenberg, 2009). A large number of studies on interval timing, duration perception, rhythm cognition supports the critical role of the same cortico-basal ganglia-thalamic circuits that we found associated with the 'syllable' condition (e.g., Alm, 2004;Gu, van Rijn, & Meck, 2015;Matell & Meck, 2004;Schirmer, 2004;Teki & Griffiths, 2016;Trost, Fruhholz, Schon, Labbe, Pichon, Grandjean, & Vuilleumier, 2014;Wiener, Turkeltaub, & Coslett, 2010). While the left hemisphere is sensitive to fast events (20-50 ms), the right hemisphere is more sensitive to events at the time scale of syllables (150-250 ms; Boemio, Fromm, Braun, & Poeppel, 2005;Poeppel, 2003). ...
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The processing of syllables in visual word recognition was investigated using a novel paradigm based on steady-state visual evoked potentials (SSVEPs). French words were presented to proficient readers in a delayed naming task. Words were split into two segments, the first of which was flickered at 18.75 Hz and the second at 25 Hz. The first segment either matched (congruent condition) or did not match (incongruent condition) the first syllable. The SSVEP responses in the congruent condition showed increased power compared to the responses in the incongruent condition, providing new evidence that syllables are important sublexical units in visual word recognition and reading aloud. With respect to the neural correlates of the effect, syllables elicited an early activation of a right hemisphere network. This network is typically associated with the programming of complex motor sequences, cognitive control and timing. Subsequently, responses were obtained in left hemisphere areas related to phonological processing.
... [17][18][19]. Although theories of time perception vary in the specific cognitive mechanisms or the neural implementations, the standard theory assumes a pacemaker that emits ticks at a regular rate, which are read out by an accumulator (Fig. 1B) 17,[20][21][22][23] . The accumulator can be reset if an event happens that marks the beginning of an interval. ...
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Evidence suggests that human timing ability is compromised by heat. In particular, some studies suggest that increasing body temperature speeds up an internal clock, resulting in faster time perception. However, the consequences of this speed-up for other cognitive processes remain unknown. In the current study, we rigorously tested the speed-up hypothesis by inducing passive hyperthermia through immersion of participants in warm water. In addition, we tested how a change in time perception affects performance in decision making under deadline stress. We found that participants underestimate a prelearned temporal interval when body temperature increases, and that their performance in a two-alternative forced-choice task displays signatures of increased time pressure. These results show not only that timing plays an important role in decision-making, but also that this relationship is mediated by temperature. The consequences for decision-making in job environments that are demanding due to changes in body temperature may be considerable.
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Impulsive choice is preference for a smaller-sooner (SS) outcome over a larger-later (LL) outcome when LL choices result in greater reinforcement maximization. Delay discounting is a model of impulsive choice that describes the decaying value of a reinforcer over time, with impulsive choice evident when the empirical choice-delay function is steep. Steep discounting is correlated with multiple diseases and disorders. Thus, understanding the processes underlying impulsive choice is a popular topic for investigation. Experimental research has explored the conditions that moderate impulsive choice, and quantitative models of impulsive choice have been developed that elegantly represent the underlying processes. This review spotlights experimental research in impulsive choice covering human and nonhuman animals across the domains of learning, motivation, and cognition. Contemporary models of delay discounting designed to explain the underlying mechanisms of impulsive choice are discussed. These models focus on potential candidate mechanisms, which include perception, delay and/or reinforcer sensitivity, reinforcement maximization, motivation, and cognitive systems. Although the models collectively explain multiple mechanistic phenomena, there are several cognitive processes, such as attention and working memory, that are overlooked. Future research and model development should focus on bridging the gap between quantitative models and empirical phenomena.
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Different models have been proposed to explain how the human brain derives an accurate sense of time. One specific class of models, intrinsic models, state that temporal information of a stimulus is represented much like other features such as color and location, bound together to form a coherent percept. Here we explored to what extent this holds for temporal information after it has been perceived and is held in working memory for subsequent comparison. We recorded EEG of participants who were asked to time stimuli at lateral positions of the screen followed by comparison stimuli presented in the center. Using well-established markers of working memory maintenance, we investigated whether the usage of temporal information evoked neural signatures that were indicative of the location where the stimuli had been presented, both during maintenance and during comparison. Neural and behavioral measures, including the contralateral delay activity, lateralized alpha suppression and decoding analyses through time, all supported the same conclusion: while the representation of location was strongly involved during the perception of temporal information, once temporal information was committed to memory it no longer showed any relation to spatial information during maintenance or during comparisons. These results support a model where the initial perception of a stimulus involves intrinsic computations, but that this information is subsequently translated to a stimulus-independent format to be used to further guide behavior.
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Lejeune (1998) (Switching or gating? The attentional challenge in cognitive models of psychological time. Behav. Process. 44, 127-45) analyzed and compared two models of prospective timing: the classical switching model and the attentional-gate model. Lejeune argued that a modified switch notion, which can be opened and closed in a frequency which reflects the amount of attentional resources allocated for timing can provide a satisfactory explanation for the impact of attention on prospective timing, and therefore the notion of an 'attentional switch' is favored over adding an 'attentional gate.' In the present analysis, the two competing models are compared in terms of correspondence with the nature of attentional processes, as well as in terms of logical analysis and explanatory power. Based on this comparison, it is argued that gating is a better model of prospective timing than switching.