Miller P, Wang XJ. (2006). Stability of discrete memory states to stochastic fluctuations in neuronal systems. Chaos (Woodbury, N.Y.). 16 [PubMed]

See more from authors: Miller P · Wang XJ

References and models cited by this paper

Abbott LF, Chance FS. (2005). Drivers and modulators from push-pull and balanced synaptic input. Progress in brain research. 149 [PubMed]

Amit DJ. (1995). The Hebbian paradigm reintegrated: Local reverberations as internal representation Behav Brain Sci. 18

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]

Bennett MR, Gibson WG, Robinson J. (1997). Probabilistic secretion of quanta and the synaptosecretosome hypothesis: evoked release at active zones of varicosities, boutons, and endplates. Biophysical journal. 73 [PubMed]

Bialek W. (2001). Stability and noise in biochemical switches Advances in neural information processing systems. 13

Bliss TV, Collingridge GL. (1993). A synaptic model of memory: long-term potentiation in the hippocampus. Nature. 361 [PubMed]

Bradshaw JM, Hudmon A, Schulman H. (2002). Chemical quenched flow kinetic studies indicate an intraholoenzyme autophosphorylation mechanism for Ca2+/calmodulin-dependent protein kinase II. The Journal of biological chemistry. 277 [PubMed]

Bradshaw JM, Kubota Y, Meyer T, Schulman H. (2003). An ultrasensitive Ca2+/calmodulin-dependent protein kinase II-protein phosphatase 1 switch facilitates specificity in postsynaptic calcium signaling. Proceedings of the National Academy of Sciences of the United States of America. 100 [PubMed]

Brunel N. (2000). Persistent activity and the single-cell frequency-current curve in a cortical network model. Network (Bristol, England). 11 [PubMed]

Brunel N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. Journal of computational neuroscience. 8 [PubMed]

Brunel N, Hakim V. (1999). Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural computation. 11 [PubMed]

Brunel N, Wang XJ. (2001). Effects of neuromodulation in a cortical network model of object working memory dominated by recurrent inhibition. Journal of computational neuroscience. 11 [PubMed]

Burns BD, Webb AC. (1976). The spontaneous activity of neurones in the cat's cerebral cortex. Proceedings of the Royal Society of London. Series B, Biological sciences. 194 [PubMed]

Buzsáki G. (2004). Large-scale recording of neuronal ensembles. Nature neuroscience. 7 [PubMed]

Chance FS, Abbott LF, Reyes AD. (2002). Gain modulation from background synaptic input. Neuron. 35 [PubMed]

Compte A, Brunel N, Goldman-Rakic PS, Wang XJ. (2000). Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model. Cerebral cortex (New York, N.Y. : 1991). 10 [PubMed]

Compte A et al. (2003). Temporally irregular mnemonic persistent activity in prefrontal neurons of monkeys during a delayed response task. Journal of neurophysiology. 90 [PubMed]

Crick F. (1984). Memory and molecular turnover. Nature. 312 [PubMed]

Diba K, Lester HA, Koch C. (2004). Intrinsic noise in cultured hippocampal neurons: experiment and modeling. The Journal of neuroscience : the official journal of the Society for Neuroscience. 24 [PubMed]

Dobrunz LE, Stevens CF. (1997). Heterogeneity of release probability, facilitation, and depletion at central synapses. Neuron. 18 [PubMed]

Ehlers MD. (2003). Activity level controls postsynaptic composition and signaling via the ubiquitin-proteasome system. Nature neuroscience. 6 [PubMed]

Fechner GT. (1912). Elemente der Psychophysik.

Ferrell JE. (2002). Self-perpetuating states in signal transduction: positive feedback, double-negative feedback and bistability. Current opinion in cell biology. 14 [PubMed]

Fourcaud N, Brunel N. (2002). Dynamics of the firing probability of noisy integrate-and-fire neurons. Neural computation. 14 [PubMed]

Fukai T, Kitano K, Kang S. (2004). Self-organized two-state membrane potential transitions in a network of realistically modeled cortical neurons. Neural Netw. 17

Fukai T, Okamoto H, Takada M, Isomura Y. (2005). Temporal integration by stochastic dynamics of a recurrent-network of bistable neurons Computational Cognitive Neuroscience Symposium.

Fukunaga K, Stoppini L, Miyamoto E, Muller D. (1993). Long-term potentiation is associated with an increased activity of Ca2+/calmodulin-dependent protein kinase II. The Journal of biological chemistry. 268 [PubMed]

Funahashi S, Bruce CJ, Goldman-Rakic PS. (1989). Mnemonic coding of visual space in the monkey's dorsolateral prefrontal cortex. Journal of neurophysiology. 61 [PubMed]

Funahashi S, Bruce CJ, Goldman-rakic PS. (1990). Neocortical memory circuits Cold Spring Harbor Symposia on Quantitative Biology.

Fusi S, Mattia M, Del Giudice P. (2004). Modelling the formation of working memory with networks of integrate-and-fire neurons connected by plastic synapses. J Physiol Paris. 97

Gibbon J. (1977). Scalar expectancy theory and Weber's law in animal timing Psychol Rev. 84

Giese KP, Fedorov NB, Filipkowski RK, Silva AJ. (1998). Autophosphorylation at Thr286 of the alpha calcium-calmodulin kinase II in LTP and learning. Science (New York, N.Y.). 279 [PubMed]

Gillespie DT. (1977). Exact stochastic simulation of coupled chemical reactions. Journal Of Physical Chemistry. 81

Gillespie DT. (1992). Markov processes.

Goldman-Rakic PS. (1995). Cellular basis of working memory. Neuron. 14 [PubMed]

Gutkin BS, Laing CR, Colby CL, Chow CC, Ermentrout GB. (2001). Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. Journal of computational neuroscience. 11 [PubMed]

Halling PJ. (1989). Do the laws of chemistry apply to living cells? Trends in biochemical sciences. 14 [PubMed]

Hansel D, Mato G. (2001). Existence and stability of persistent states in large neuronal networks. Physical review letters. 86 [PubMed]

Hanson PI, Schulman H. (1992). Neuronal Ca2+/calmodulin-dependent protein kinases. Annual review of biochemistry. 61 [PubMed]

Hebb DO. (1949). The Organization Of Behavior.

Holmes WR. (2000). Models of calmodulin trapping and CaM kinase II activation in a dendritic spine. Journal of computational neuroscience. 8 [PubMed]

Holt GR, Softky WR, Koch C, Douglas RJ. (1996). Comparison of discharge variability in vitro and in vivo in cat visual cortex neurons. Journal of neurophysiology. 75 [PubMed]

Hudmon A, Schulman H. (2002). Neuronal CA2+/calmodulin-dependent protein kinase II: the role of structure and autoregulation in cellular function. Annual review of biochemistry. 71 [PubMed]

Kitano K, Okamoto H, Fukai T. (2003). Time representing cortical activities: two models inspired by prefrontal persistent activity. Biological cybernetics. 88 [PubMed]

Kolodziej SJ, Hudmon A, Waxham MN, Stoops JK. (2000). Three-dimensional reconstructions of calcium/calmodulin-dependent (CaM) kinase IIalpha and truncated CaM kinase IIalpha reveal a unique organization for its structural core and functional domains. The Journal of biological chemistry. 275 [PubMed]

Koulakov AA. (2001). Properties of synaptic transmission and the global stability of delayed activity states. Network (Bristol, England). 12 [PubMed]

Koulakov AA, Raghavachari S, Kepecs A, Lisman JE. (2002). Model for a robust neural integrator. Nature neuroscience. 5 [PubMed]

Kramers HA. (1940). Brownian motion in a field of force and the diffusion model of chemical reactions. Physica. 7

Landauer R. (1962). Fluctuations in bistable tunnel diodes J Appl Phys. 33

Lisman J, Schulman H, Cline H. (2002). The molecular basis of CaMKII function in synaptic and behavioural memory. Nature reviews. Neuroscience. 3 [PubMed]

Lisman JE, Goldring MA. (1988). Feasibility of long-term storage of graded information by the Ca2+/calmodulin-dependent protein kinase molecules of the postsynaptic density. Proceedings of the National Academy of Sciences of the United States of America. 85 [PubMed]

Lisman JE, Zhabotinsky AM. (2001). A model of synaptic memory: a CaMKII/PP1 switch that potentiates transmission by organizing an AMPA receptor anchoring assembly. Neuron. 31 [PubMed]

Lorente de No R. (1933). Vestibulo-ocular reflex arc Arch Neurol Psych. 30

Malinow R, Schulman H, Tsien RW. (1989). Inhibition of postsynaptic PKC or CaMKII blocks induction but not expression of LTP. Science (New York, N.Y.). 245 [PubMed]

Manwani A, Koch C. (1999). Detecting and estimating signals in noisy cable structure, I: neuronal noise sources. Neural computation. 11 [PubMed]

Mascaro M, Amit DJ. (1999). Effective neural response function for collective population states. Network (Bristol, England). 10 [PubMed]

McAdams HH, Arkin A. (1997). Stochastic mechanisms in gene expression. Proceedings of the National Academy of Sciences of the United States of America. 94 [PubMed]

McAdams HH, Arkin A. (1999). It's a noisy business! Genetic regulation at the nanomolar scale. Trends in genetics : TIG. 15 [PubMed]

McGlade-McCulloh E, Yamamoto H, Tan SE, Brickey DA, Soderling TR. (1993). Phosphorylation and regulation of glutamate receptors by calcium/calmodulin-dependent protein kinase II. Nature. 362 [PubMed]

Miller P. (2006). Analysis of spike statistics in neuronal systems with continuous attractors or multiple, discrete attractor States. Neural computation. 18 [PubMed]

Miller P, Brody CD, Romo R, Wang XJ. (2003). A recurrent network model of somatosensory parametric working memory in the prefrontal cortex. Cerebral cortex (New York, N.Y. : 1991). 13 [PubMed]

Miller P, Zhabotinsky AM, Lisman JE, Wang XJ. (2005). The stability of a stochastic CaMKII switch: dependence on the number of enzyme molecules and protein turnover. PLoS biology. 3 [PubMed]

Miller SG, Kennedy MB. (1986). Regulation of brain type II Ca2+/calmodulin-dependent protein kinase by autophosphorylation: a Ca2+-triggered molecular switch. Cell. 44 [PubMed]

Morris RG. (2003). Long-term potentiation and memory. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 358 [PubMed]

Nicoll RA, Malenka RC. (1999). Expression mechanisms underlying NMDA receptor-dependent long-term potentiation. Annals of the New York Academy of Sciences. 868 [PubMed]

O'Connor DH, Wittenberg GM, Wang SS. (2005). Graded bidirectional synaptic plasticity is composed of switch-like unitary events. Proceedings of the National Academy of Sciences of the United States of America. 102 [PubMed]

Okamoto H, Fukai T. (2000). A model for neural representation of temporal duration. Bio Systems. 55 [PubMed]

Okamoto H, Fukai T. (2001). Neural mechanism for a cognitive timer. Physical review letters. 86 [PubMed]

Osborne MJ. (2004). An Introduction to Game Theory.

Ozbudak EM, Thattai M, Lim HN, Shraiman BI, Van Oudenaarden A. (2004). Multistability in the lactose utilization network of Escherichia coli. Nature. 427 [PubMed]

Petersen CC, Malenka RC, Nicoll RA, Hopfield JJ. (1998). All-or-none potentiation at CA3-CA1 synapses. Proceedings of the National Academy of Sciences of the United States of America. 95 [PubMed]

Petersen JD et al. (2003). Distribution of postsynaptic density (PSD)-95 and Ca2+/calmodulin-dependent protein kinase II at the PSD. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]

Renart A. (2000). Multimodular memory systems PhD Thesis.

Sajikumar S, Navakkode S, Frey JU. (2005). Protein synthesis-dependent long-term functional plasticity: methods and techniques. Current opinion in neurobiology. 15 [PubMed]

Sato Y, Akiyama E, Farmer JD. (2002). Chaos in learning a simple two-person game. Proceedings of the National Academy of Sciences of the United States of America. 99 [PubMed]

Seung HS. (1996). How the brain keeps the eyes still. Proceedings of the National Academy of Sciences of the United States of America. 93 [PubMed]

Seung HS, Lee DD, Reis BY, Tank DW. (2000). Stability of the memory of eye position in a recurrent network of conductance-based model neurons. Neuron. 26 [PubMed]

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

Shouval HZ. (2005). Clusters of interacting receptors can stabilize synaptic efficacies. Proceedings of the National Academy of Sciences of the United States of America. 102 [PubMed]

Smith AC, Wu XB, Levy WB. (2000). Controlling activity fluctuations in large, sparsely connected random networks. Network (Bristol, England). 11 [PubMed]

Smolen P, Baxter DA, Byrne JH. (1999). Effects of macromolecular transport and stochastic fluctuations on dynamics of genetic regulatory systems. The American journal of physiology. 277 [PubMed]

Smolen P, Baxter DA, Byrne JH. (2000). Mathematical modeling of gene networks. Neuron. 26 [PubMed]

Softky WR, Koch C. (1993). The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. The Journal of neuroscience : the official journal of the Society for Neuroscience. 13 [PubMed]

Tegnér J, Compte A, Wang XJ. (2002). The dynamical stability of reverberatory neural circuits. Biological cybernetics. 87 [PubMed]

Tsodyks MV, Amit DJ. (1991). Quantitative study of attractor neural network retrieving at low spike rates I Substrate-spikes, rates, and neuronal gain. Network. 2

Tuckwell HC. (1988). Introduction To Theoretical Neurobiology: Vol 1, Linear Cable Theory And Dendritic Structure. 1

Vogels TP, Abbott LF. (2005). Signal propagation and logic gating in networks of integrate-and-fire neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Vogels TP, Rajan K, Abbott LF. (2005). Neural network dynamics. Annual review of neuroscience. 28 [PubMed]

Wang XJ. (1999). Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory. The Journal of neuroscience : the official journal of the Society for Neuroscience. 19 [PubMed]

Wang XJ. (2001). Synaptic reverberation underlying mnemonic persistent activity. Trends in neurosciences. 24 [PubMed]

Wang XJ. (2002). Probabilistic decision making by slow reverberation in cortical circuits. Neuron. 36 [PubMed]

Wang XJ, Miller P. (2006). Power-law neuronal fluctuations in a recurrent network model of parametric working memory. J Neurophysiol. 95

Weber EH. (1851). Annotationes Annatomicae et Physiologicae.

White JA, Klink R, Alonso A, Kay AR. (1998). Noise from voltage-gated ion channels may influence neuronal dynamics in the entorhinal cortex. Journal of neurophysiology. 80 [PubMed]

Zhabotinsky AM. (2000). Bistability in the Ca(2+)/calmodulin-dependent protein kinase-phosphatase system. Biophysical journal. 79 [PubMed]

Zohary E, Shadlen MN, Newsome WT. (1994). Correlated neuronal discharge rate and its implications for psychophysical performance. Nature. 370 [PubMed]

van Rossum MC, Turrigiano GG, Nelson SB. (2002). Fast propagation of firing rates through layered networks of noisy neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

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

van Vreeswijk C, Sompolinsky H. (1998). Chaotic balanced state in a model of cortical circuits. Neural computation. 10 [PubMed]

References and models that cite this paper

Manninen T, Hituri K, Kotaleski JH, Blackwell KT, Linne ML. (2010). Postsynaptic signal transduction models for long-term potentiation and depression. Frontiers in computational neuroscience. 4 [PubMed]

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.