Singh C, Levy WB. (2017). A consensus layer V pyramidal neuron can sustain interpulse-interval coding. PloS one. 12 [PubMed]

See more from authors: Singh C · Levy WB

References and models cited by this paper

Acker CD, Antic SD. (2009). Quantitative assessment of the distributions of membrane conductances involved in action potential backpropagation along basal dendrites. Journal of neurophysiology. 101 [PubMed]

Andrásfalvy BK, Magee JC. (2004). Changes in AMPA receptor currents following LTP induction on rat CA1 pyramidal neurones. The Journal of physiology. 559 [PubMed]

Araya R, Eisenthal KB, Yuste R. (2006). Dendritic spines linearize the summation of excitatory potentials. Proceedings of the National Academy of Sciences of the United States of America. 103 [PubMed]

Athanasios P, Unnikrishna PS. (2002). Probability, Random Variables, and Stochastic Processes.

Averbeck BB, Latham PE, Pouget A. (2006). Neural correlations, population coding and computation. Nature reviews. Neuroscience. 7 [PubMed]

Bahl A, Stemmler MB, Herz AV, Roth A. (2012). Automated optimization of a reduced layer 5 pyramidal cell model based on experimental data. Journal of neuroscience methods. 210 [PubMed]

Banitt Y, Martin KA, Segev I. (2007). A biologically realistic model of contrast invariant orientation tuning by thalamocortical synaptic depression. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]

Barak O, Tsodyks M, Romo R. (2010). Neuronal population coding of parametric working memory. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]

Baranauskas G, David Y, Fleidervish IA. (2013). Spatial mismatch between the Na+ flux and spike initiation in axon initial segment. Proceedings of the National Academy of Sciences of the United States of America. 110 [PubMed]

Barber MJ, Clark JW, Anderson CH. (2003). Neural representation of probabilistic information. Neural computation. 15 [PubMed]

Beck JM et al. (2008). Probabilistic population codes for Bayesian decision making. Neuron. 60 [PubMed]

Berger T, Levy WB. (2010). A mathematical theory of energy efficient neural computation and communication IEEE Transactions on Information Theory. 56(2)

Berger T, Levy WB, Sungkar M. (2016). Mutual Information and Parameter Estimation in the Generalized Inverse Gaussian Diffusion Model of Cortical Neurons IEEE Transactions on Molecular, Biological and Multi-Scale Communications. 2(2)

Berger T, Levy WB, Sungkar M. (2016). Neural Computation From First Principles: Using the Maximum Entropy Method to Obtain an Optimal Bits-Per-Joule Neuron. T-MBMC. 2

Bernander O, Koch C, Douglas RJ. (1994). Amplification and linearization of distal synaptic input to cortical pyramidal cells. Journal of neurophysiology. 72 [PubMed]

Berry MJ, Meister M. (1998). Refractoriness and neural precision. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]

Bialek W, Rieke F, de Ruyter van Steveninck RR, Warland D. (1991). Reading a neural code. Science (New York, N.Y.). 252 [PubMed]

Brown EN, Barbieri R, Ventura V, Kass RE, Frank LM. (2002). The time-rescaling theorem and its application to neural spike train data analysis. Neural computation. 14 [PubMed]

Buracas GT, Zador AM, DeWeese MR, Albright TD. (1998). Efficient discrimination of temporal patterns by motion-sensitive neurons in primate visual cortex. Neuron. 20 [PubMed]

Calvin WH, Stevens CF. (1968). Synaptic noise and other sources of randomness in motoneuron interspike intervals. Journal of neurophysiology. 31 [PubMed]

Capocelli RM, Ricciardi LM. (1971). Diffusion approximation and first passage time problem for a model neuron. Kybernetik. 8 [PubMed]

Carandini M, Ferster D. (2000). Membrane potential and firing rate in cat primary visual cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 20 [PubMed]

Carandini M, Heeger DJ, Movshon JA. (1997). Linearity and normalization in simple cells of the macaque primary visual cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 17 [PubMed]

Cash S, Yuste R. (1998). Input summation by cultured pyramidal neurons is linear and position-independent. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]

Cash S, Yuste R. (1999). Linear summation of excitatory inputs by CA1 pyramidal neurons. Neuron. 22 [PubMed]

Chatelier A, Zhao J, Bois P, Chahine M. (2010). Biophysical characterisation of the persistent sodium current of the Nav1.6 neuronal sodium channel: a single-channel analysis. Pflugers Archiv : European journal of physiology. 460 [PubMed]

Chen LH. (1975). Poisson approximation for dependent trials The Annals of Probability.

Chikazoe J, Lee DH, Kriegeskorte N, Anderson AK. (2014). Population coding of affect across stimuli, modalities and individuals. Nature neuroscience. 17 [PubMed]

Colbert CM, Levy WB. (1992). Electrophysiological and pharmacological characterization of perforant path synapses in CA1: mediation by glutamate receptors. Journal of neurophysiology. 68 [PubMed]

Colbert CM, Levy WB, Desmond NL. (1990). Elemental adaptive processes of neurons and synapses: a statistical/computational perspective. vol. 187.

Colbert CM, Pan E. (2002). Ion channel properties underlying axonal action potential initiation in pyramidal neurons. Nature neuroscience. 5 [PubMed]

Conti F, Hille B, Neumcke B, Nonner W, Stämpfli R. (1976). Measurement of the conductance of the sodium channel from current fluctuations at the node of Ranvier. The Journal of physiology. 262 [PubMed]

Cook EP et al. (2007). The neuronal transfer function: contributions from voltage- and time-dependent mechanisms. Progress in brain research. 165 [PubMed]

Deneve S. (2008). Bayesian spiking neurons I: inference. Neural computation. 20 [PubMed]

Deneve S, Pouget A. (2004). Bayesian multisensory integration and cross-modal spatial links. Journal of physiology, Paris. 98 [PubMed]

Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35

Faisal AA. (2012). Noise in neurons and other constraints Computational Systems Neurobiology.

Faisal AA, Laughlin SB. (2007). Stochastic simulations on the reliability of action potential propagation in thin axons. PLoS computational biology. 3 [PubMed]

Faisal AA, Selen LP, Wolpert DM. (2008). Noise in the nervous system. Nature reviews. Neuroscience. 9 [PubMed]

Ferster D. (1994). Linearity of synaptic interactions in the assembly of receptive fields in cat visual cortex. Current opinion in neurobiology. 4 [PubMed]


Gentet LJ, Stuart GJ, Clements JD. (2000). Direct measurement of specific membrane capacitance in neurons. Biophysical journal. 79 [PubMed]

Gerwinn S, Macke JH, Bethge M. (2010). Bayesian inference for generalized linear models for spiking neurons. Frontiers in computational neuroscience. 4 [PubMed]

Gillespie DC, Lampl I, Anderson JS, Ferster D. (2001). Dynamics of the orientation-tuned membrane potential response in cat primary visual cortex. Nature neuroscience. 4 [PubMed]

Giorno V, Lánský P, Nobile AG, Ricciardi LM. (1988). Diffusion approximation and first-passage-time problem for a model neuron. III. A birth-and-death process approach. Biological cybernetics. 58 [PubMed]

Hallermann S, de Kock CP, Stuart GJ, Kole MH. (2012). State and location dependence of action potential metabolic cost in cortical pyramidal neurons. Nature neuroscience. 15 [PubMed]

He H. (2016). IEEE Transactions on Neural Networks and Learning Systems 2016 and Beyond. IEEE transactions on neural networks and learning systems. 27 [PubMed]

Hille B. (1978). Ionic channels in excitable membranes. Current problems and biophysical approaches. Biophysical journal. 22 [PubMed]

Hille B. (2001). Ionic Channels of Excitable Membranes.

Hines ML, Carnevale NT. (2006). The NEURON Book.

Hines ML, Morse T, Migliore M, Carnevale NT, Shepherd GM. (2004). ModelDB: A Database to Support Computational Neuroscience. Journal of computational neuroscience. 17 [PubMed]

Hu W et al. (2009). Distinct contributions of Na(v)1.6 and Na(v)1.2 in action potential initiation and backpropagation. Nature neuroscience. 12 [PubMed]

Iyengar S, Liao Q. (1997). Modeling neural activity using the generalized inverse Gaussian distribution. Biological cybernetics. 77 [PubMed]

Jagadeesh B, Wheat HS, Ferster D. (1993). Linearity of summation of synaptic potentials underlying direction selectivity in simple cells of the cat visual cortex. Science (New York, N.Y.). 262 [PubMed]

Johnston D, Magee JC, Colbert CM, Cristie BR. (1996). Active properties of neuronal dendrites. Annual review of neuroscience. 19 [PubMed]

Kole MH, Hallermann S, Stuart GJ. (2006). Single Ih channels in pyramidal neuron dendrites: properties, distribution, and impact on action potential output. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]

Kole MH et al. (2008). Action potential generation requires a high sodium channel density in the axon initial segment. Nature neuroscience. 11 [PubMed]

Lansky P, Ricciardi LM, Smith C. (1990). One-dimensional stochastic diffusion models of neuronal activity and related first passage time problems Trends in Biological Cybernetics. 1

Lee C, Rohrer WH, Sparks DL. (1988). Population coding of saccadic eye movements by neurons in the superior colliculus. Nature. 332 [PubMed]

Levy W. (1988). A theory of the hippocampus based on reinforced synaptic modification in CA1 Society for Neuroscience Abstracts. vol. 14.

Levy WB, Baxter RA. (2002). Energy-efficient neuronal computation via quantal synaptic failures. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Levy WB, Morel D. (2007). Persistent sodium is a better linearizing mechanism than the hyperpolarization-activated current. Neurocomputing. 70(10)

Levy WB, Morel D. (2008). Cost of linearization for different time constants BMC Neuroscience. 9(1)

Lindley D. (1956). On a measure of information provided by an experiment Ann Math Stat. 29

Léger JF, Stern EA, Aertsen A, Heck D. (2005). Synaptic integration in rat frontal cortex shaped by network activity. Journal of neurophysiology. 93 [PubMed]

Ma WJ, Beck JM, Latham PE, Pouget A. (2006). Bayesian inference with probabilistic population codes. Nature neuroscience. 9 [PubMed]

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

Mainen ZF, Sejnowski TJ. (1996). Influence of dendritic structure on firing pattern in model neocortical neurons. Nature. 382 [PubMed]

McCulloch WS, Pitts W. (1990). A logical calculus of the ideas immanent in nervous activity. 1943. Bulletin of mathematical biology. 52 [PubMed]

McDonnell MD, Ikeda S, Manton JH. (2011). An introductory review of information theory in the context of computational neuroscience. Biological cybernetics. 105 [PubMed]

Nettleton JS, Spain WJ. (2000). Linear to supralinear summation of AMPA-mediated EPSPs in neocortical pyramidal neurons. Journal of neurophysiology. 83 [PubMed]

Palmer LM, Stuart GJ. (2006). Site of action potential initiation in layer 5 pyramidal neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]

Priebe NJ, Ferster D. (2005). Direction selectivity of excitation and inhibition in simple cells of the cat primary visual cortex. Neuron. 45 [PubMed]

Reinagel P, Reid R. (1998). Visual stimulus statistics and the reliability of spike timing in the LGN Soc Neurosci Abstr. vol. 24.

Revah O, Libman L, Fleidervish IA, Gutnick MJ. (2015). The Outwardly Rectifying Current of Layer 5 Neocortical Neurons that was Originally Identified as "Non-Specific Cationic" Is Essentially a Potassium Current. PloS one. 10 [PubMed]

Ricciardi LM, Sacerdote L. (1979). The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time. Biological cybernetics. 35 [PubMed]

Rieke F, Bodnar DA, Bialek W. (1995). Naturalistic stimuli increase the rate and efficiency of information transmission by primary auditory afferents. Proceedings. Biological sciences. 262 [PubMed]

Rieke F, Warland D, Bialek W. (1993). Coding efficiency and information rates in sensory neurons EPL (Europhysics Letters). 22(2)

Rieke F, Warland D, de Ruyter van Steveninck, R, Bialek B. (1997). Spikes: Exploring The Neural Code.

Roelfsema PR, Lamme VA, Spekreijse H. (1998). Object-based attention in the primary visual cortex of the macaque monkey. Nature. 395 [PubMed]

Rospars JP, Lánsky P. (1995). Ornstein-Uhlenbeck model neuron revisited Biological cybernetics. 72(5)

Rotaru DC, Lewis DA, Gonzalez-Burgos G. (2007). Dopamine D1 receptor activation regulates sodium channel-dependent EPSP amplification in rat prefrontal cortex pyramidal neurons. The Journal of physiology. 581 [PubMed]

Royeck M et al. (2008). Role of axonal NaV1.6 sodium channels in action potential initiation of CA1 pyramidal neurons. Journal of neurophysiology. 100 [PubMed]


Sacerdote L, Lánský P. (2002). Interspike interval statistics in the Ornstein-Uhlenbeck neuronal model with signal-dependent noise. Bio Systems. 67 [PubMed]

Schmidt-Hieber C, Bischofberger J. (2010). Fast sodium channel gating supports localized and efficient axonal action potential initiation. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]

Schneidman E, Freedman B, Segev I. (1998). Ion channel stochasticity may be critical in determining the reliability and precision of spike timing. Neural computation. 10 [PubMed]

Schrodinger E. (1968). Statistical Thermodynamics.

Sejnowski TJ, Berger T, Xing J. (2012). A Berger-Levy energy efficient neuron model with unequal synaptic weights Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on. IEEE.

Sengupta B, Laughlin SB, Niven JE. (2014). Consequences of converting graded to action potentials upon neural information coding and energy efficiency. PLoS computational biology. 10 [PubMed]

Simen P, Balci F, de Souza L, Cohen JD, Holmes P. (2011). A model of interval timing by neural integration. The Journal of neuroscience : the official journal of the Society for Neuroscience. 31 [PubMed]

Sompolinsky H, Yoon H, Kang K, Shamir M. (2001). Population coding in neuronal systems with correlated noise. Physical review. E, Statistical, nonlinear, and soft matter physics. 64 [PubMed]

Stein RB, Gossen ER, Jones KE. (2005). Neuronal variability: noise or part of the signal? Nature reviews. Neuroscience. 6 [PubMed]

Steinmetz PN, Manwani A, Koch C, London M, Segev I. (2000). Subthreshold voltage noise due to channel fluctuations in active neuronal membranes. Journal of computational neuroscience. 9 [PubMed]

Stevens CF, Zador AM. (1998). Input synchrony and the irregular firing of cortical neurons. Nature neuroscience. 1 [PubMed]

Strong SP, Koberle R, de Ruyter van Steveninck R, Bialek W. (1997). Entropy and information in neuronal spike trains. Phys Rev Lett. 80

Sugihara T, Qiu FT, von der Heydt R. (2011). The speed of context integration in the visual cortex. Journal of neurophysiology. 106 [PubMed]

Tripathy SJ, Padmanabhan K, Gerkin RC, Urban NN. (2013). Intermediate intrinsic diversity enhances neural population coding. Proceedings of the National Academy of Sciences of the United States of America. 110 [PubMed]

Tuckwell HC. (2005). Introduction to theoretical neurobiology: volume 2, nonlinear and stochastic theories. vol. 8.

Tuckwell HC, Ditlevsen S. (2016). The Space-Clamped Hodgkin-Huxley System with Random Synaptic Input: Inhibition of Spiking by Weak Noise and Analysis with Moment Equations. Neural computation. 28 [PubMed]

Wald A. (1973). Sequential analysis.

Warland DK. (1991). Reading Between the Spikes: Real-Time Signal Processing in Neural Systems.

Warland DK, Reinagel P, Meister M. (1997). Decoding visual information from a population of retinal ganglion cells. Journal of neurophysiology. 78 [PubMed]

White JA, Rubinstein JT, Kay AR. (2000). Channel noise in neurons. Trends in neurosciences. 23 [PubMed]

Woolley SM, Gill PR, Theunissen FE. (2006). Stimulus-dependent auditory tuning results in synchronous population coding of vocalizations in the songbird midbrain. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]

Yarom Y, Hounsgaard J. (2011). Voltage fluctuations in neurons: signal or noise? Physiological reviews. 91 [PubMed]

Yu Y, Shu Y, McCormick DA. (2008). Cortical action potential backpropagation explains spike threshold variability and rapid-onset kinetics. The Journal of neuroscience : the official journal of the Society for Neuroscience. 28 [PubMed]

van Rossum MC, O'Brien BJ, Smith RG. (2003). Effects of noise on the spike timing precision of retinal ganglion cells. Journal of neurophysiology. 89 [PubMed]

References and models that cite this paper
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.