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The theta/gamma discrete phase code occuring during the hippocampal phase precession may be a more general brain coding scheme
Abstract
In the hippocampus, oscillations in the theta and gamma frequency range occur together and interact in several ways, indicating that they are part of a common functional system. It is argued that these oscillations form a coding scheme that is used in the hippocampus to organize the readout from long-term memory of the discrete sequence of upcoming places, as cued by current position. This readout of place cells has been analyzed in several ways. First, plots of the theta phase of spikes vs. position on a track show a systematic progression of phase as rats run through a place field. This is termed the phase precession. Second, two cells with nearby place fields have a systematic difference in phase, as indicated by a cross-correlation having a peak with a temporal offset that is a significant fraction of a theta cycle. Third, several different decoding algorithms demonstrate the information content of theta phase in predicting the animal's position. It appears that small phase differences corresponding to jitter within a gamma cycle do not carry information. This evidence, together with the finding that principle cells fire preferentially at a given gamma phase, supports the concept of theta/gamma coding: a given place is encoded by the spatial pattern of neurons that fire in a given gamma cycle (the exact timing within a gamma cycle being unimportant); sequential places are encoded in sequential gamma subcycles of the theta cycle (i.e., with different discrete theta phase). It appears that this general form of coding is not restricted to readout of information from long-term memory in the hippocampus because similar patterns of theta/gamma oscillations have been observed in multiple brain regions, including regions involved in working memory and sensory integration. It is suggested that dual oscillations serve a general function: the encoding of multiple units of information (items) in a way that preserves their serial order. The relationship of such coding to that proposed by Singer and von der Malsburg is discussed; in their scheme, theta is not considered. It is argued that what theta provides is the absolute phase reference needed for encoding order. Theta/gamma coding therefore bears some relationship to the concept of "word" in digital computers, with word length corresponding to the number of gamma cycles within a theta cycle, and discrete phase corresponding to the ordered "place" within a word.
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“Behavioral tasks can modulate phase amplitude coupling which has been implicated in sensory integration, memory processes, and attentional selection previously (54–56).”
From Perineuronal nets, inhibitory interneurons and anxiety-related ventral hippocampal neuronal oscillations are altered by early life adversity (2019) · cites this paper as [55]
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InfluentialA Neural Coding Scheme Formed by the Combined Function of Gamma and Theta Oscillations
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“In terms of sensory processing, FBC might reflect a mechanism for distinguishing different kinds of information encoded by overlapping neural networks or for organizing the information conveyed with different timescales (Lisman, 2005).”
BackgroundEntorhinal-CA3 Dual-Input Control of Spike Timing in the Hippocampus by Theta-Gamma Coupling
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“First, spike sequences of neurons within theta cycles are temporally compressed representations of the rat’s spatial trajectories (Dragoi andBuzsáki, 2006; Foster andWilson, 2007; Gupta et al., 2012; Lisman, 2005; Wikenheiser and Redish, 2015;Cei et al., 2014).”
Segmentation of spatial experience by hippocampal theta sequences
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The Sniff as a Unit of Olfactory Processing
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“The nested oscillation model has been suggested to apply more broadly beyond the hippocampus (Lisman, 2005), for instance, for visual representations (VanRullen and Koch, 2003).”
MethodTheta Oscillations in Human Cortex During a Working-Memory Task: Evidence for Local Generators
Raghavachari, S., Lisman, J. E., Tully, M., Madsen, J. R., Bromfield, E. B., & Kahana, M. J. (2005) · Journal of Neurophysiology · doi:10.1152/jn.00409.2005 · Cited by 302
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Prediction, sequences and the hippocampus
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“Another possibility relates to the temporal scale of the hippocampal inputs through chunking (Miller 1956; Newell 1990) or the action of a working memory buffer (Jensen & Lisman 2005).”
BackgroundResultFlexible information routing by transient synchrony
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Feedback Inhibition Enables Theta-Nested Gamma Oscillations and Grid Firing Fields
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“Nested gamma oscillations may enable temporal codes that operate relative to the theta cycle to be superimposed upon firing rate codes (Buzsáki and Wang, 2012; Lisman, 2005).”
InfluentialAssessing transient cross-frequency coupling in EEG data
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“It is thought to reflect coherent neural communication and information encoding (Lisman, 2005; Jensen and Colgin, 2007), and has been hypothesized to support processes including perceptual binding, spatial and temporal memory encoding, and information processing (Lisman, 2005).”
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“…(Fries, 2005, 2015), hierarchical nesting as indexed by phase-power-coupling (Jensen and Colgin, 2007; Schroeder et al., 2008), phase precession and phase coding (Lisman, 2005; Schyns et al., 2011; Jensen et al., 2014), and gating by pulsed inhibition (Jensen and Mazaheri, 2010).”
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“Rhythmic oscillations are thought to play an important role in binding distributed cell assemblies together (Singer, 1993; Lisman, 2005), raising the possibility that ripple oscillations could coordinate memory replay.”
Restoring theta‐like rhythmicity in rats restores initial learning in the Morris water maze
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“This would be consistent with theta activity (and perhaps other forms of cortical rhythmicity) functioning to time the passage of packets of information around cortical loops (Miller, 1991) or perform a range of more complex functions (Worden, 1992; Carpenter and Grossberg, 1993; Hasselmo and Wyble, 1997; Jensen and L…”
BackgroundCausal Evidence for a Role of Theta and Alpha Oscillations in the Control of Working Memory
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Theta Phase Precession in Rat Ventral Striatum Links Place and Reward Information
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“…hippocampal formation, phase precession and the temporal sequence compression it implies when places or events are sequentially experienced is thought to underlie rapid encoding of experience (Skaggs et al., 1996; Lisman, 2005; Dragoi and Buzsáki, 2006; Morris, 2006; Maurer and McNaughton, 2007).”
BackgroundAdvances in human intracranial electroencephalography research, guidelines and good practices
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Visual P2 component is related to theta phase-locking
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“Phase–amplitude coupling may reflect integration or gating processes across populations of neurons, and thus, may be correlates of neural information processing or encoding (Steriade, 2006; Jensen, 2005; Lisman, 2005; Buzsaki & Draguhn, 2004).”
BackgroundInfluentialCross-frequency phase synchronization: A brain mechanism of memory matching and attention
Sauseng, P., Klimesch, W., Gruber, W., & Birbaumer, N. (2008) · NeuroImage · doi:10.1016/j.neuroimage.2007.11.032 · Cited by 223
“This is theoretically elaborated and tested with neural networks ( Lisman, 2005; Jensen and Lisman, 2005; Lisman and Idart, 1995; Jensen, 2004; Jensen, 2006) as well as in human EEG studies (Fell et al., 2003b; Schack et al., 2002; Burgess and Ali, 2002; Palva et al., 2005; Mormann et al., 2005; Demiralp et al., 2007;…”
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Florian, R. V. (2010) · Nature Precedings · doi:10.1371/journal.pone.0040233 · Cited by 211
“First, oscillations segment time into frames (periods), offering a reference for temporal encoding of information in spike latencies (phases) [76].”
BackgroundGood Vibrations: Cross-frequency Coupling in the Human Nucleus Accumbens during Reward Processing
Cohen, M. X., Axmacher, N., Lenartz, D., Elger, C. E., Sturm, V., & Schlaepfer, T. E. (2008) · Journal of Cognitive Neuroscience · doi:10.1162/jocn.2009.21062 · Cited by 193
“of information encoding in the brain (Lisman, 2005).”
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“It has highly consistent behavioural correlates in rats (Vanderwolf, 1969) and its apparent simplicity and ease of recording have resulted in a voluminous literature (Bland, 1986; Winson, 1990; O’Keefe, 1993; Kirk, 1997; Vertes and Kocsis, 1997; Sainsbury, 1998; O’Keefe and Burgess, 1999; Buzsáki, 2002, 2005; Burgess…”
BackgroundA Precluding But Not Ensuring Role of Entrained Low-Frequency Oscillations for Auditory Perception
Ng, B. S. W., Schröeder, T., & Kayser, C. (2012) · Journal of Neuroscience · doi:10.1523/jneurosci.1877-12.2012 · Cited by 187
“…al., 2010; Giraud and Poeppel, 2012): spiking activity and gamma oscillations may reflect individual sensory features with high temporal precision (Lisman, 2005; Fries et al., 2007), and their nesting into different phase ranges of theta oscillations may reflect the temporal organization of this…”
BackgroundTemporal and Rate Coding for Discrete Event Sequences in the Hippocampus
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“This predicts that information integration is essential for updating internal models of the current situation and reorganizing the temporal structure of cell assemblies within theta cycles (Tsodyks et al., 1996; Lisman, 2005; Hasselmo, 2005; McNaughton et al., 2006; Foster and Knierim, 2012).”
Encoding and retrieval in a model of the hippocampal CA1 microcircuit
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“Gamma oscillatory firing on the linear track Because we found that place-selective firing was maintained during gamma oscillations, it is possible that gamma-modulated temporal sequences are formed during theta-phase precession (Lisman, 2005; Koene and Hasselmo, 2007).”
BackgroundMethodInfluentialWorking Memory: The Importance of Theta and Gamma Oscillations
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Autoassociative dynamics in the generation of sequences of hippocampal place cells
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Spatial Sequence Coding Differs during Slow and Fast Gamma Rhythms in the Hippocampus
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“A second type of oscillation in the hippocampus, gamma ($25–100 Hz), is thought to interact with theta to temporally organize theta sequences (Dragoi and Buzsá ki, 2006; Gupta et al., 2012; Lisman, 2005; Lisman and Jensen, 2013).”
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“We suggest that this embedding takes the form of a generic coding mechanism that is already well established in neuroscience (Lisman, 2005; Buzsaki, 2008): internally generated oscillations at a high frequency such as the gamma range are embedded inside an oscillation operating at a lower frequency…”
BackgroundDynamic Effective Connectivity of Inter-Areal Brain Circuits
Battaglia, D. A., Witt, A., Wolf, F., & Geisel, T. (2012) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1002438 · Cited by 159
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“Local fi eld potential (LFP) oscillations are thought to refl ect organization underlying a wide range of processes across different brain areas, including attention, perception, movement planning and initiation, and memory (Buzsáki, 2006; Fries et al., 2007; Lisman, 2005).”
Phase precession in the human hippocampus and entorhinal cortex
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Oscillatory multiplexing of neural population codes for interval timing and working memory
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Dynamic Reconfiguration of Hippocampal Interneuron Circuits during Spatial Learning
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“Note that the number of primes indicates the degree of corruption of a memory item. memory buffer that may provide input to the hippocampus (reviewed in Jensen & Lisman, 2005).”
On cross-frequency phase-phase coupling between theta and gamma oscillations in the hippocampus
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“Cross-frequency phase-phase coupling has previously been hypothesized to take part in memory processes (Lisman and Idiart, 1995; Jensen and Lisman, 2005; Lisman, 2005; Schack and Weiss, 2005; Sauseng et al., 2008, 2009; Holz et al., 2010; Fell and Axmacher, 2011).”
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Neural Communication Patterns Underlying Conflict Detection, Resolution, and Adaptation
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“…cross-frequency coupling (CFC) between phase and amplitude appears to be important for the integration of local neuronal activity into large-scale cerebral networks (Ward, 2003; Lisman, 2005; Canolty et al., 2006; Jensen and Colgin, 2007; Axmacher et al., 2010; Canolty and Knight, 2010).”
BackgroundCortical gamma oscillations: the functional key is activation, not cognition
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Nucleus incertus—An emerging modulatory role in arousal, stress and memory
Ryan, P. J., Ma, S., Olucha-Bordonau, F. E., & Gundlach, A. L. (2011) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2011.02.004 · Cited by 132
Slow-waves in the olfactory system: an olfactory perspective on cortical rhythms
Fontanini, A., & Bower, J. M. (2006) · Trends in Neurosciences · doi:10.1016/j.tins.2006.06.013 · Cited by 130
Tactile remapping: from coordinate transformation to integration in sensorimotor processing
Heed, T., Buchholz, V. N., Engel, A. K., & Röder, B. (2015) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2015.03.001 · Cited by 132
Encoding of event timing in the phase of neural oscillations
Kösem, A., Gramfort, A., & van Wassenhove, V. (2014) · NeuroImage · doi:10.1016/j.neuroimage.2014.02.010 · Cited by 133
“The encoding of spatiotemporal information in the phase of neural oscillations has been described in the hippocampus in which mechanisms of phase precession encode spatial locations as the animal navigates in a maze (Buzsáki, 2002; Lisman, 2005; Skaggs et al., 1995).”
Reservoir Computing Meets Smart Grids: Attack Detection Using Delayed Feedback Networks
Hamedani, K., Liu, L., Atat, R., Wu, J., & Yi, Y. (2017) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2017.2769106 · Cited by 123
“firing, the phase of the local field power is used to encode the information [23].”
MethodMechanisms Responsible for Cognitive Impairment in EpilepsyPreprint
Lenck‐Santini, P., & Scott, R. C. (2015) · Cold Spring Harbor Perspectives in Medicine · doi:10.1101/cshperspect.a022772 · Cited by 123
“It is believed that g rhythms provide coordinating mechanism-binding ensembles of neurons that encode information (Harris et al. 2003; Lisman 2005; Fries 2009).”
BackgroundMurthy, S., Kane, G. A., Katchur, N. J., Lara Mejia, P. S., Obiofuma, G., Buschman, T. J., McEwen, B. S., & Gould, E. (2019) · Biological Psychiatry · doi:10.1016/j.biopsych.2019.02.021 · Cited by 118
Zielinski, M. C., Shin, J. D., & Jadhav, S. P. (2019) · Journal of Neuroscience · doi:10.1523/jneurosci.0106-19.2019 · Cited by 127
“…as time bins, since a) theta oscillations provide temporal windows for organization across hippocampal-cortical networks (Jensen and Lisman, 1996; Lisman, 2005; Lisman and Redish, 2009; Mizuseki et al., 2009; Lisman and Jensen, 2013), and b) since we wanted to investigate the effect of theta…”
BackgroundGruber, T., Tsivilis, D., Giabbiconi, C., & Müller, M. M. (2008) · Journal of Cognitive Neuroscience · doi:10.1162/jocn.2008.20068 · Cited by 118
“Thus, our finding extends existing models of simultaneous gamma and theta oscillations during memory processes (e.g., Demiralp et al., 2007; Axmacher et al., 2006; Jensen, 2006; Lisman, 2005 ), which propose a mechanism of nested gamma and theta oscillations.”
ResultBrain oscillatory correlates of working memory constraints
Freunberger, R., Werkle‐Bergner, M., Griesmayr, B., Lindenberger, U., & Klimesch, W. (2010) · Brain Research · doi:10.1016/j.brainres.2010.12.048 · Cited by 116
“…different frequencies has mainly been studied in the hippocampal region (Axmacher et al., 2010; Buzsaki and Draguhn, 2004; Jutras and Buffalo, 2010; Lisman, 2005; Mormann et al., 2005) and, such methods have barely been applied to MEG/EEG data from humans.1 Only recently, hierarchically organized…”
BackgroundMethodSubthreshold Membrane-Potential Resonances Shape Spike-Train Patterns in the Entorhinal Cortex
Engel, T. A., Schimansky-Geier, L., Herz, A. V. M., Schreiber, S., & Erchova, I. A. (2008) · Journal of Neurophysiology · doi:10.1152/jn.01282.2007 · Cited by 114
“It has been shown that subthreshold membrane-potential resonances influence a given brain area’s ability to sustain rhythmic activity (Buzsáki and Draguhn 2004; Geisler et al. 2005), which, in turn, underlies various aspects of perception, memory, and behavior (Buzsáki 2005; Lisman 2005).”
BackgroundKayser, C., Ince, R. A. A., & Panzeri, S. (2012) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1002717 · Cited by 111
Neural Synchrony in Schizophrenia: From Networks to New Treatments
Ford, J. M., Krystal, J. H., & Mathalon, D. H. (2007) · Schizophrenia Bulletin · doi:10.1093/schbul/sbm062 · Cited by 114
“Theta and gamma can and do occur together, with theta modulating gamma and gamma often precipitating theta.(14,18) Investigators are attempting to understand the interplay of gamma and theta because they appear to reflect distinct aspects of information processing.”
BackgroundMazzoni, A., Whittingstall, K., Brunel, N., Logothetis, N. K., & Panzeri, S. (2009) · NeuroImage · doi:10.1016/j.neuroimage.2009.12.040 · Cited by 109
“, 2005) and hippocampus (Bragin et al., 1995; Lisman, 2005) and is thought to be central for a number of cognitive and sensory processes (Jensen and Colgin, 2007; Lisman, 2005; Lisman and Idiart, 1995; Schroeder and Lakatos, 2009).”
BackgroundInfluentialDistributed Adaptive Control: A theory of the Mind, Brain, Body Nexus
Verschure, P. F. M. J. (2012) · Biologically Inspired Cognitive Architectures · doi:10.1016/j.bica.2012.04.005 · Cited by 109
“Lisman (2005) hypothesized that given the distinct features of the inputs the hippocampus receives from the entorhinal cortex (EC), sensory information from the lateral EC (LEC) and spatial information from the grid cells of the medial EC (MEC), the Dentate Gyrus (DG) could form sense-act couplets…”
BackgroundNava-Mesa, M. O., Jiménez‐Díaz, L., Yajeya, J., & Navarro‐López, J. D. (2014) · Frontiers in Cellular Neuroscience · doi:10.3389/fncel.2014.00167 · Cited by 106
“Because theta and gamma activity play a functional role in memory formation and retrieval (Bastiaansen and Hagoort, 2003; Hasselmo, 2005; Lisman, 2005), disruption of septohippocampal projection might explain cognitive deterioration in neurodegenerative diseases.”
BackgroundKim, S. M., Ganguli, S., & Frank, L. M. (2012) · Journal of Neuroscience · doi:10.1523/jneurosci.5942-11.2012 · Cited by 105
Hoffmann, L. C., & Berry, S. D. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0908403106 · Cited by 104
Theta-Band Phase Locking of Orbitofrontal Neurons during Reward Expectancy
van Wingerden, M., Vinck, M. A., Lankelma, J. V., & Pennartz, C. M. A. (2010) · Journal of Neuroscience · doi:10.1523/jneurosci.3860-09.2010 · Cited by 108
“Third, reward-dependent associative learning mechanisms likely involve long-term synaptic modifications depending on the exact timing of presynaptic and postsynaptic activity (Levy and Steward, 1983; Markram et al., 1997; Lisman and Spruston, 2005; Cassenaer and Laurent, 2007).”
BackgroundPeak frequency in the theta and alpha bands correlates with human working memory capacity
Moran, R. J., Campo, P., Maestu, F., Reilly, R. B., Dolan, R. J., & Strange, B. A. (2010) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2010.00200 · Cited by 93
“Lisman and colleagues (Lisman and Idiart, 1995; Jensen and Lisman, 1996, 1998; Lisman, 2005) propose that oscillations in the medial temporal lobe could facilitate working memory “bundles” of 7 ± 2 items using a similar phase encoding scheme.”
MethodCross-frequency coupling of brain oscillations: An impact of state anxiety
Knyazev, G. G. (2011) · International Journal of Psychophysiology · doi:10.1016/j.ijpsycho.2011.03.013 · Cited by 91
“Theta phase to gamma amplitude coupling have been extensively studied in the hippocampus of rodents andmanwhere they arewidely believed to reflect the integration of components to a single cognitive stream (Jensen and Lisman, 2005; Lisman, 2005; Lisman andBuzsaki, 2008).”
Backgroundvan Wingerden, M., Vinck, M. A., Lankelma, J. V., & Pennartz, C. M. A. (2010) · Journal of Neuroscience · doi:10.1523/jneurosci.0222-10.2010 · Cited by 87
Theta–gamma coupling during episodic retrieval in the human EEG
Köster, M., Friese, U., Schöne, B., Trujillo‐Barreto, N. J., & Gruber, T. (2014) · Brain Research · doi:10.1016/j.brainres.2014.06.028 · Cited by 97
Microcircuits for spatial coding in the medial entorhinal cortex
Tukker, J. J., Beed, P. S., Brecht, M., Kempter, R., Moser, E. I., & Schmitz, D. (2021) · Physiological Reviews · doi:10.1152/physrev.00042.2020 · Cited by 95
Multi-timescale neural dynamics for multisensory integration
Senkowski, D., & Engel, A. K. (2024) · Nature reviews. Neuroscience · doi:10.1038/s41583-024-00845-7 · Cited by 101
“Such oscillatory rhythms are involved in many aspects of sensory and cognitive processing 8–15 , and it has been hypothesized that neural oscillations may provide different duration time windows for the chunking or linking of information 10,16–18 .”
Memory retrieval time and memory capacity of the CA3 network: Role of gamma frequency oscillationsPreprint
de Almeida, L., Idiart, M., & Lisman, J. E. (2007) · Learning & Memory · doi:10.1101/lm.730207 · Cited by 90
“The key argument that heteroassociation occurs in the dentate is that the passage of information from dentate to CA3 and back to dentate requires >20 msec, producing a delay (see references in Lisman 2005) that turns out to be very important.”
BackgroundKitchigina, V. F. (2018) · Frontiers in Integrative Neuroscience · doi:10.3389/fnint.2018.00036 · Cited by 88
“…to produce a neural code (‘‘7 ± 2 short-term memories’’) has been proposed a decade ago (Lisman and Idiart, 1995); later it was improved, but the essence of this theta–gamma coding model was remained (Jensen and Lisman, 2005; Lisman, 2005; Lisman and Buzsáki, 2008; Lisman and Jensen, 2013).”
BackgroundA LIDA cognitive model tutorial
Franklin, S., Madl, T., Strain, S., Faghihi, U., Dong, D., Kugele, S., Snaider, J., Agrawal, P., & Chen, S. (2016) · Biologically Inspired Cognitive Architectures · doi:10.1016/j.bica.2016.04.003 · Cited by 88
Short-term memory capacity (7+/−2) predicted by theta to gamma cycle length ratio
Kamiński, J., Brzezicka, A., & Wróbel, A. (2011) · Neurobiology of Learning and Memory · doi:10.1016/j.nlm.2010.10.001 · Cited by 82
Griesmayr, B., Gruber, W. R., Klimesch, W., & Sauseng, P. (2009) · Neurobiology of Learning and Memory · doi:10.1016/j.nlm.2009.09.013 · Cited by 82
Metadata
- Authors
- Lisman, J.
- Affiliations
- Brandeis University (US)
- Corresponding author
- Lisman, John
- ORCID
- Lisman, John
- Venue
- Hippocampus
- Publisher
- Wiley
- Published
- 2005-01
- Volume
- 15
- Issue
- 7
- Pages
- 913-922
- ISSN
- 1050-9631 (ISSN-L)
- 1098-1063
- OpenAlex
- W2084385675
- Cited by
- 435
- References
- 56
- Citations by year
- 2026: 7 · 2025: 12 · 2024: 25 · 2023: 15 · 2022: 24 · 2021: 13 · 2020: 21 · 2019: 17 · 2018: 25 · 2017: 29 · 2016: 16 · 2015: 17 · 2014: 24 · 2013: 28 · 2012: 34
- FWCI
- 1.37
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Hippocampus (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
- Keywords
- theta-gamma oscillations, phase precession, place cells, neural coding, gamma oscillations, theta oscillations, working memory, sensory integration
- MeSH terms
- Action Potentials, Animals, Biological Clocks, Hippocampus, Humans, Memory, Models, Neurological, Neural Pathways, Synaptic Transmission, Neurons, Theta Rhythm
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