Izhikevich EM. (2006). Polychronization: computation with spikes. Neural computation. 18 [PubMed]

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References and models cited by this paper

Abeles M. (1991). Corticonics: Neural Circuits of the Cerebral Cortex..

Abeles M. (2002). Synfire chains The handbook of Brain theory and neural networks.

Amit DJ, Brunel N. (1997). Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cerebral cortex (New York, N.Y. : 1991). 7 [PubMed]

Baker SN, Lemon RN. (2000). Precise spatiotemporal repeating patterns in monkey primary and supplementary motor areas occur at chance levels. Journal of neurophysiology. 84 [PubMed]

Beggs JM, Plenz D. (2003). Neuronal avalanches in neocortical circuits. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]

Beggs JM, Plenz D. (2004). Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures. The Journal of neuroscience : the official journal of the Society for Neuroscience. 24 [PubMed]

Bellen A, Zennaro M. (2003). Numerical methods for delay differential equations.

Bienenstock E. (1995). A model of nerocortex Comput Neural Syst. 6

Braitenberg V, Schuz A. (1991). Anatomy of the Cortex: Statistics and Geometry.

Bryant HL, Segundo JP. (1976). Spike initiation by transmembrane current: a white-noise analysis. The Journal of physiology. 260 [PubMed]

Buzsaki G, Llinas R, Singer W, Berthoz A, Christen Y. (1994). Temporal coding in the brain.

Chang EY, Morris KF, Shannon R, Lindsey BG. (2000). Repeated sequences of interspike intervals in baroresponsive respiratory related neuronal assemblies of the cat brain stem. Journal of neurophysiology. 84 [PubMed]

Changeux JP, Danchin A. (1976). Selective stabilization of developing synapses as a mechanism for the recall and recognition Cognition. 33

Desai NS, Cudmore RH, Nelson SB, Turrigiano GG. (2002). Critical periods for experience-dependent synaptic scaling in visual cortex. Nature neuroscience. 5 [PubMed]

Diesmann M, Gewaltig MO, Aertsen A. (1999). Stable propagation of synchronous spiking in cortical neural networks. Nature. 402 [PubMed]

Edelman GM. (1987). Neural Darwinism: The Theory of Neural Group Selection.

Edelman GM. (1993). Neural Darwinism: selection and reentrant signaling in higher brain function. Neuron. 10 [PubMed]

Edelman GM. (2004). Wider than the sky: The phenomenal gift of consciousness.

Edelman GM, Gally JA. (2001). Degeneracy and complexity in biological systems. Proceedings of the National Academy of Sciences of the United States of America. 98 [PubMed]

Ernst U, Pawelzik K, Milton J, Cowan J, Eurich C. (1999). Dynamics of self-organazed delay adaptation Phys Rev Lett. 82

Ferster D, Lindström S. (1983). An intracellular analysis of geniculo-cortical connectivity in area 17 of the cat. The Journal of physiology. 342 [PubMed]

Foss J, Milton J. (2000). Multistability in recurrent neural loops arising from delay. Journal of neurophysiology. 84 [PubMed]

Gerstner W, Kempter R, van Hemmen JL, Wagner H. (1996). A neuronal learning rule for sub-millisecond temporal coding. Nature. 383 [PubMed]

Golubitsky M, Stewart I, Pivato M. (2003). Symmetry groupoids and patterns of synchrony in coupled cell networks SIAM J Appl Dynam Sys. 2

Grossberg S. (1988). Nonlinear neural networks: Principles, mechanisms, and architectures Neural Networks. 1

Hale JK, Wiener J. (1992). Ordinary and delay differential equations.

Hopfield JJ. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America. 79 [PubMed]

Hopfield JJ. (1995). Pattern recognition computation using action potential timing for stimulus representation. Nature. 376 [PubMed]

Hüning H, Glünder H, Palm G. (1998). Synaptic delay learning in pulse-coupled neurons. Neural computation. 10 [PubMed]

Ikegaya Y et al. (2004). Synfire chains and cortical songs: temporal modules of cortical activity. Science (New York, N.Y.). 304 [PubMed]

Izhikevich EM. (2003). Simple model of spiking neurons. IEEE transactions on neural networks. 14 [PubMed]

Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]

Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.

Izhikevich EM, Gally JA, Edelman GM. (2004). Spike-timing dynamics of neuronal groups. Cerebral cortex (New York, N.Y. : 1991). 14 [PubMed]

Izhikevich EM, Hoppensteadt FC. (1997). Weakly Connected Neural Networks.

Krichmar JL, Edelman GM. (2002). Machine psychology: autonomous behavior, perceptual categorization and conditioning in a brain-based device. Cerebral cortex (New York, N.Y. : 1991). 12 [PubMed]

Krichmar JL, Edelman GM, Seth AK, Mckinstry JL. (2004). Spatiotemporal processing of whisker input supports texture discrimination by a brain-based device From animals to animats 8: Proceedings of the Eighth International Conference on the Simulation of Adaptive Behavior.

Lindsey BG, Morris KF, Shannon R, Gerstein GL. (1997). Repeated patterns of distributed synchrony in neuronal assemblies. Journal of neurophysiology. 78 [PubMed]

Litvak V, Sompolinsky H, Segev I, Abeles M. (2003). On the transmission of rate code in long feedforward networks with excitatory-inhibitory balance. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]

Maass W, Natschläger T, Markram H. (2002). Real-time computing without stable states: a new framework for neural computation based on perturbations. Neural computation. 14 [PubMed]

Mainen ZF, Sejnowski TJ. (1995). Reliability of spike timing in neocortical neurons. Science (New York, N.Y.). 268 [PubMed]

Mao BQ, Hamzei-Sichani F, Aronov D, Froemke RC, Yuste R. (2001). Dynamics of spontaneous activity in neocortical slices. Neuron. 32 [PubMed]

Mazurek ME, Shadlen MN. (2002). Limits to the temporal fidelity of cortical spike rate signals. Nature neuroscience. 5 [PubMed]

Miller R. (1996). Cortico-thalamic interplay and the security of operation of neural assemblies and temporal chains in the cerebral cortex. Biological cybernetics. 75 [PubMed]

Miller R. (1996). Neural assemblies and laminar interactions in the cerebral cortex. Biological cybernetics. 75 [PubMed]

Oram MW, Wiener MC, Lestienne R, Richmond BJ. (1999). Stochastic nature of precisely timed spike patterns in visual system neuronal responses. Journal of neurophysiology. 81 [PubMed]

Prut Y et al. (1998). Spatiotemporal structure of cortical activity: properties and behavioral relevance. Journal of neurophysiology. 79 [PubMed]

Reinagel P, Reid RC. (2002). Precise firing events are conserved across neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Riehle A, Grün S, Diesmann M, Aertsen A. (1997). Spike synchronization and rate modulation differentially involved in motor cortical function. Science (New York, N.Y.). 278 [PubMed]

Salami M, Itami C, Tsumoto T, Kimura F. (2003). Change of conduction velocity by regional myelination yields constant latency irrespective of distance between thalamus and cortex. Proceedings of the National Academy of Sciences of the United States of America. 100 [PubMed]

Senn W, Schneider M, Ruf B. (2002). Activity-dependent development of axonal and dendritic delays, or, why synaptic transmission should be unreliable. Neural computation. 14 [PubMed]

Seth AK, McKinstry JL, Edelman GM, Krichmar JL. (2004). Visual binding through reentrant connectivity and dynamic synchronization in a brain-based device. Cerebral cortex (New York, N.Y. : 1991). 14 [PubMed]

Shadlen MN, Movshon JA. (1999). Synchrony unbound: a critical evaluation of the temporal binding hypothesis. Neuron. 24 [PubMed]

Shadlen MN, Newsome WT. (1994). Noise, neural codes and cortical organization. Current opinion in neurobiology. 4 [PubMed]

Shadlen MN, Newsome WT. (1998). The variable discharge of cortical neurons: implications for connectivity, computation, and information coding. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]

Singer W, Gray CM. (1995). Visual feature integration and the temporal correlation hypothesis. Annual review of neuroscience. 18 [PubMed]

Song S, Miller KD, Abbott LF. (2000). Competitive Hebbian learning through spike-timing-dependent synaptic plasticity. Nature neuroscience. 3 [PubMed]

Strehler BL, Lestienne R. (1986). Evidence on precise time-coded symbols and memory of patterns in monkey cortical neuronal spike trains. Proceedings of the National Academy of Sciences of the United States of America. 83 [PubMed]

Swadlow HA. (1974). Systematic variations in the conduction velocity of slowly conducting axons in the rabbit corpus callosum. Experimental neurology. 43 [PubMed]

Swadlow HA. (1985). Physiological properties of individual cerebral axons studied in vivo for as long as one year. Journal of neurophysiology. 54 [PubMed]

Swadlow HA. (1988). Efferent neurons and suspected interneurons in binocular visual cortex of the awake rabbit: receptive fields and binocular properties. Journal of neurophysiology. 59 [PubMed]

Swadlow HA. (1992). Monitoring the excitability of neocortical efferent neurons to direct activation by extracellular current pulses. Journal of neurophysiology. 68 [PubMed]

Swadlow HA. (1994). Efferent neurons and suspected interneurons in motor cortex of the awake rabbit: axonal properties, sensory receptive fields, and subthreshold synaptic inputs. Journal of neurophysiology. 71 [PubMed]

Swadlow HA, Kocsis JD, Waxman SG. (1980). Modulation of impulse conduction along the axonal tree. Annual review of biophysics and bioengineering. 9 [PubMed]

Swadlow HA, Waxman SG. (1975). Observations on impulse conduction along central axons. Proceedings of the National Academy of Sciences of the United States of America. 72 [PubMed]

Tetko IV, Villa AE. (2001). A pattern grouping algorithm for analysis of spatiotemporal patterns in neuronal spike trains. 2. Application to simultaneous single unit recordings. Journal of neuroscience methods. 105 [PubMed]

Turrigiano GG, Leslie KR, Desai NS, Rutherford LC, Nelson SB. (1998). Activity-dependent scaling of quantal amplitude in neocortical neurons. Nature. 391 [PubMed]

Villa AE, Tetko IV, Hyland B, Najem A. (1999). Spatiotemporal activity patterns of rat cortical neurons predict responses in a conditioned task. Proceedings of the National Academy of Sciences of the United States of America. 96 [PubMed]

Volman V, Baruchi I, Ben-Jacob E. (2005). Manifestation of function-follow-form in cultured neuronal networks. Physical biology. 2 [PubMed]

Whittington MA, Traub RD, Kopell N, Ermentrout B, Buhl EH. (2000). Inhibition-based rhythms: experimental and mathematical observations on network dynamics. International journal of psychophysiology : official journal of the International Organization of Psychophysiology. 38 [PubMed]

de Ruyter van Steveninck RR, Lewen GD, Strong SP, Koberle R, Bialek W. (1997). Reproducibility and variability in neural spike trains. Science (New York, N.Y.). 275 [PubMed]

van Vreeswijk C, Sompolinsky H. (1996). Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science (New York, N.Y.). 274 [PubMed]

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Aoki T, Aoyagi T. (2007). Synchrony-induced switching behavior of spike pattern attractors created by spike-timing-dependent plasticity. Neural computation. 19 [PubMed]

Brette R, Goodman DF. (2011). Vectorized algorithms for spiking neural network simulation. Neural computation. 23 [PubMed]

Gilson M, Masquelier T, Hugues E. (2011). STDP allows fast rate-modulated coding with Poisson-like spike trains. PLoS computational biology. 7 [PubMed]

Hamaguchi K, Okada M, Aihara K. (2007). Variable timescales of repeated spike patterns in synfire chain with Mexican-hat connectivity. Neural computation. 19 [PubMed]

Hosaka R, Araki O, Ikeguchi T. (2008). STDP provides the substrate for igniting synfire chains by spatiotemporal input patterns. Neural computation. 20 [PubMed]

Izhikevich EM. (2007). Solving the distal reward problem through linkage of STDP and dopamine signaling. Cerebral cortex (New York, N.Y. : 1991). 17 [PubMed]

Kaltenbrunner A, Gómez V, López V. (2007). Phase transition and hysteresis in an ensemble of stochastic spiking neurons. Neural computation. 19 [PubMed]

Kobayashi T, Shimada Y, Fujiwara K, Ikeguchi T. (2017). Reproducing Infra-Slow Oscillations with Dopaminergic Modulation. Scientific reports. 7 [PubMed]

London M, Roth A, Beeren L, Häusser M, Latham PE. (2010). Sensitivity to perturbations in vivo implies high noise and suggests rate coding in cortex. Nature. 466 [PubMed]

Masuda N, Kori H. (2007). Formation of feedforward networks and frequency synchrony by spike-timing-dependent plasticity. Journal of computational neuroscience. 22 [PubMed]

Potjans TC, Diesmann M. (2014). The cell-type specific cortical microcircuit: relating structure and activity in a full-scale spiking network model. Cerebral cortex (New York, N.Y. : 1991). 24 [PubMed]

Richert M, Nageswaran JM, Dutt N, Krichmar JL. (2011). An efficient simulation environment for modeling large-scale cortical processing. Frontiers in neuroinformatics. 5 [PubMed]

Scorcioni R, Hamilton DJ, Ascoli GA. (2008). Self-sustaining non-repetitive activity in a large scale neuronal-level model of the hippocampal circuit. Neural networks : the official journal of the International Neural Network Society. 21 [PubMed]

Shanahan M. (2008). A spiking neuron model of cortical broadcast and competition. Consciousness and cognition. 17 [PubMed]

Steuber V, Jaeger D. (2013). Modeling the generation of output by the cerebellar nuclei. Neural networks : the official journal of the International Neural Network Society. 47 [PubMed]

Tomsett RJ et al. (2015). Virtual Electrode Recording Tool for EXtracellular potentials (VERTEX): comparing multi-electrode recordings from simulated and biological mammalian cortical tissue. Brain structure & function. 220 [PubMed]

Tripp B, Eliasmith C. (2007). Neural populations can induce reliable postsynaptic currents without observable spike rate changes or precise spike timing. Cerebral cortex (New York, N.Y. : 1991). 17 [PubMed]

Ursino M, Ricci G, Magosso E. (2020). Transfer Entropy as a Measure of Brain Connectivity: A Critical Analysis With the Help of Neural Mass Models Frontiers in computational neuroscience. 14 [PubMed]

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