Rowat P. (2007). Interspike interval statistics in the stochastic Hodgkin-Huxley model: coexistence of gamma frequency bursts and highly irregular firing. Neural computation. 19 [PubMed]

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References and models cited by this paper

Armstrong-James M. (1975). The functional status and columnar organization of single cells responding to cutaneous stimulation in neonatal rat somatosensory cortex S1. The Journal of physiology. 246 [PubMed]

Azouz R, Gray CM. (2000). Dynamic spike threshold reveals a mechanism for synaptic coincidence detection in cortical neurons in vivo. Proceedings of the National Academy of Sciences of the United States of America. 97 [PubMed]

Barry PH, Lynch JW. (1989). Action potentials initiated by single channels opening in a small neuron (rat olfactory receptor). Biophys J. 55

Bassant MH. (1976). [Statistical analysis of the activity of pyramidal cells in the dorsal hippocampus of the rabbit] Electroencephalogr Clin Neurophysiol. 40

Berglund N, Gentz B. (2003). Geometric singular perturbation theory for stochastic differential equations J Differential Equations. 191

Best EN. (1979). Null space in the Hodgkin-Huxley Equations. A critical test. Biophysical journal. 27 [PubMed]

Brette R, Guigon E. (2003). Reliability of spike timing is a general property of spiking model neurons. Neural computation. 15 [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]

Cauli B et al. (1997). Molecular and physiological diversity of cortical nonpyramidal cells. The Journal of neuroscience : the official journal of the Society for Neuroscience. 17 [PubMed]

Chow CC, White JA. (1996). Spontaneous action potentials due to channel fluctuations. Biophysical journal. 71 [PubMed]

Dean AF. (1981). The variability of discharge of simple cells in the cat striate cortex. Experimental brain research. 44 [PubMed]

Destexhe A, Rudolph M. (2002). Point-conductance models of cortical neurons with high discharge variability Neurocomputing. 44-46

Destexhe A, Rudolph M, Fellous JM, Sejnowski TJ. (2001). Fluctuating synaptic conductances recreate in vivo-like activity in neocortical neurons. Neuroscience. 107 [PubMed]

Dorval AD, White JA. (2005). Channel noise is essential for perithreshold oscillations in entorhinal stellate neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Duchamp-Viret P, Kostal L, Chaput M, Lánsky P, Rospars JP. (2005). Patterns of spontaneous activity in single rat olfactory receptor neurons are different in normally breathing and tracheotomized animals. Journal of neurobiology. 65 [PubMed]

Englitz B, Stiefel KM, Sejnowski TJ. (2008). Irregular firing of isolated cortical interneurons in vitro driven by intrinsic stochastic mechanisms. Neural computation. 20 [PubMed]

Fitzhugh R. (1961). Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophysical journal. 1 [PubMed]

GERSTEIN GL, KIANG NY. (1960). An approach to the quantitative analysis of electrophysiological data from single neurons. Biophysical journal. 1 [PubMed]

GERSTEIN GL, MANDELBROT B. (1964). RANDOM WALK MODELS FOR THE SPIKE ACTIVITY OF A SINGLE NEURON. Biophysical journal. 4 [PubMed]

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

Grebogi C, Ott E, Yorke JA, Mcdonald SW. (1985). Fractal basin boundaries Physica D. 17

Guckenheimer J, Labouriau IS. (1993). Bifurcation of the Hodgkin and Huxley equations: a new twist Bull Math Biol. 55

Guckenheimer J, Oliva RA. (2002). Chaos in the Hodgkin-Huxley model SIAM J Applied Dynamical Systems. 1

Gutkin BS, Ermentrout GB. (1998). Dynamics of membrane excitability determine interspike interval variability: a link between spike generation mechanisms and cortical spike train statistics. Neural computation. 10 [PubMed]

Guttman R, Barnhill R. (1970). Oscillation and repetitive firing in squid axons. Comparison of experiments with computations. The Journal of general physiology. 55 [PubMed]

Guttman R, Lewis S, Rinzel J. (1980). Control of repetitive firing in squid axon membrane as a model for a neuroneoscillator. The Journal of physiology. 305 [PubMed]

HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]

Hassard B. (1978). Bifurcation of periodic solutions of Hodgkin-Huxley model for the squid giant axon. Journal of theoretical biology. 71 [PubMed]

Hille B. (2001). Ion channels of excitable membranes (3rd Ed).

Hodgkin AL. (1948). The local electric changes associated with repetitive action in a non-medullated axon. The Journal of physiology. 107 [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]

Klink R, Alonso A. (1993). Ionic mechanisms for the subthreshold oscillations and differential electroresponsiveness of medial entorhinal cortex layer II neurons. Journal of neurophysiology. 70 [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]

Labouriau IS. (1985). Degenerate Hopf bifurcation and nerve impulse SIAM J Math Anal. 16

Lamarre Y, Filion M, Cordeau JP. (1971). Neuronal discharges of the ventrolateral nucleus of the thalamus during sleep and wakefulness in the cat. I. Spontaneous activity. Experimental brain research. 12 [PubMed]

Lee SG, Kim S, Neiman A. (1998). Coherence resonance in a Hodgkin-Huxley neuron Phys Rev E. 57

MOUNTCASTLE VB, WERNER G. (1963). THE VARIABILITY OF CENTRAL NEURAL ACTIVITY IN A SENSORY SYSTEM, AND ITS IMPLICATIONS FOR THE CENTRAL REFLECTION OF SENSORY EVENTS. J Neurophysiol. 26

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

Mann-Metzer P, Yarom Y. (2002). Jittery trains induced by synaptic-like currents in cerebellar inhibitory interneurons. Journal of neurophysiology. 87 [PubMed]

Markram H et al. (2004). Interneurons of the neocortical inhibitory system. Nature reviews. Neuroscience. 5 [PubMed]

Matsumoto M, Nishimura T. (1998). Marsenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator ACM Trans On Modelling And Computer Simulation. 8

Meunier C, Segev I. (2002). Playing the devil's advocate: is the Hodgkin-Huxley model useful? Trends in neurosciences. 25 [PubMed]

Morris C, Lecar H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical journal. 35 [PubMed]

Neiman A, Lindner B, Garcia-ojalvo J, Schimansky-geier L. (2004). Effects of noise in excitable systems Phys Rep. 392

Noda H, Adey WR. (1970). Firing variability in cat association cortex during sleep and wakefulness. Brain research. 18 [PubMed]

POGGIO GF, VIERNSTEIN LJ. (1964). TIME SERIES ANALYSIS OF IMPULSE SEQUENCES OF THALAMIC SOMATIC SENSORY NEURONS. Journal of neurophysiology. 27 [PubMed]

Pfeiffer RR, Kiang NY. (1965). Spike Discharge Patterns of Spontaneous and Continuously Stimulated Activity in the Cochlear Nucleus of Anesthetized Cats. Biophysical journal. 5 [PubMed]

Rinzel J, Ermentrout B. (1998). Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition.

Rinzel J, Miller R. (1980). Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations Math Biosci. 49

Rospars JP, Lánský P, Vaillant J, Duchamp-Viret P, Duchamp A. (1994). Spontaneous activity of first- and second-order neurons in the frog olfactory system. Brain research. 662 [PubMed]

Rowat PF, Elson RC. (2004). State-dependent effects of Na channel noise on neuronal burst generation. Journal of computational neuroscience. 16 [PubMed]

Ruggero MA. (1973). Response to noise of auditory nerve fibers in the squirrel monkey. Journal of neurophysiology. 36 [PubMed]

STEIN RB. (1965). A THEORETICAL ANALYSIS OF NEURONAL VARIABILITY. Biophysical journal. 5 [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]

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]

Siebler M, Köller H, Stichel CC, Müller HW, Freund HJ. (1993). Spontaneous activity and recurrent inhibition in cultured hippocampal networks. Synapse (New York, N.Y.). 14 [PubMed]

Sigworth FJ. (1980). The variance of sodium current fluctuations at the node of Ranvier. The Journal of physiology. 307 [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]

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

Suzuki H, Yamamoto M, Nakahama H, Aikawa S. (1968). A statistical analysis of spontaneous activity of central single neurons Physiol Behav. 3

Tateno T, Harsch A, Robinson HP. (2004). Threshold firing frequency-current relationships of neurons in rat somatosensory cortex: type 1 and type 2 dynamics. Journal of neurophysiology. 92 [PubMed]

Tateno T, Pakdaman K. (2004). Random dynamics of the Morris-Lecar neural model. Chaos (Woodbury, N.Y.). 14 [PubMed]

Terman D, Rubin J, Su JZ. (2004). Effects of noise on elliptic bursters Nonlinearity. 17

Tiesinga PH, José JV, Sejnowski TJ. (2000). Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley voltage-gated channels. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 62 [PubMed]

Troy WC. (1978). The bifurcation of periodic solutions in the Hodgkin-Huxley equations. Quart Appl Math. 36

Troyer TW, Miller KD. (1997). Physiological gain leads to high ISI variability in a simple model of a cortical regular spiking cell. Neural computation. 9 [PubMed]

Watanabe T, Kiang NYS, Thomas C, Clark LF. (1965). Discharge Patterns Of Single Fibers In The Cats Auditory Nerve.

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]

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

Whitsel BL, Schreiner RC, Essick GK. (1977). An analysis of variability in somatosensory cortical neuron discharge. Journal of neurophysiology. 40 [PubMed]

Wilbur WJ, Rinzel J. (1983). A theoretical basis for large coefficient of variation and bimodality in neuronal interspike interval distributions. Journal of theoretical biology. 105 [PubMed]

Yu XL, Lewis ER. (1989). Studies with spike initiators: linearization by noise allows continuous signal modulation in neural networks. IEEE transactions on bio-medical engineering. 36 [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]

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