Agmon A, Connors BW. (1989). Repetitive burst-firing neurons in the deep layers of mouse somatosensory cortex. Neuroscience letters. 99 [PubMed]
Arvanitaki A, Chalazonitis N. (1967). Electrical properties and temporal organization in oscillatory neurons Neurobiology Of Invertebrates.
Bal T, Nagy F, Et al . (1988). The pyloric central pattern generator in crustacea: A set of conditional neuronal oscillators J Comp Physiol. 163
Braun HA, Wissing H, Schäfer K, Hirsch MC. (1994). Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature. 367 [PubMed]
Calvin WH, Stevens CF. (1968). Synaptic noise and other sources of randomness in motoneuron interspike intervals. Journal of neurophysiology. 31 [PubMed]
Chow CC, White JA. (1996). Spontaneous action potentials due to channel fluctuations. Biophysical journal. 71 [PubMed]
Collins JJ, Chow CC, Imhoff TT. (1995). Stochastic resonance without tuning. Nature. 376 [PubMed]
Conti F, Wanke E. (1975). Channel noise in nerve membranes and lipid bilayers. Quarterly reviews of biophysics. 8 [PubMed]
Cymbalyuk GS, Gaudry Q, Masino MA, Calabrese RL. (2002). Bursting in leech heart interneurons: cell-autonomous and network-based mechanisms. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]
Elson RC, Huerta R, Abarbanel HD, Rabinovich MI, Selverston AI. (1999). Dynamic control of irregular bursting in an identified neuron of an oscillatory circuit. Journal of neurophysiology. 82 [PubMed]
Et al , Braun H, Huber M. (2000). nteractions between slow and fast conductances in the Huber-Braun model of cold-receptor discharges Neurocomput. 32
Et al , Oldeman BE, Krauskpof B. (2000). Death of period-doublings: Locating the homoclinic-doubling cascade Physica D. 146
Faure P, Korn H. (1997). A nonrandom dynamic component in the synaptic noise of a central neuron. Proceedings of the National Academy of Sciences of the United States of America. 94 [PubMed]
Fox RF. (1997). Stochastic versions of the Hodgkin-Huxley equations. Biophysical journal. 72 [PubMed]
Fox RF, Lu Yn. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 49 [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]
Hartline DK, Russell DF. (1984). Endogenous burst capability in a neuron of the gastric mill pattern generator of the spiny lobster Panulirus interruptus. J Neurobiol. 15
Hille B. (2001). Classic mechanisms of block Ion Channels of Excitable Membranes (3rd edn).
Huber MT, Braun HA, Et al . (1998). Computer simulations of neuronal signal transduction: the role of nonlinear dynamics and noise. Chaos. 8
Hunter JD, Milton JG. (2003). Amplitude and frequency dependence of spike timing: implications for dynamic regulation. Journal of neurophysiology. 90 [PubMed]
Hunter JD, Milton JG, Thomas PJ, Cowan JD. (1998). Resonance effect for neural spike time reliability. Journal of neurophysiology. 80 [PubMed]
Hutcheon B, Yarom Y. (2000). Resonance, oscillation and the intrinsic frequency preferences of neurons. Trends in neurosciences. 23 [PubMed]
Izhikevich EM. (2000). Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng. 10
Kantz H, Schreiber T. (1997). Nonlinear Time Series Analysis.
Kay AR, Sugimori M, Llinás R. (1998). Kinetic and stochastic properties of a persistent sodium current in mature guinea pig cerebellar Purkinje cells. Journal of neurophysiology. 80 [PubMed]
Kepler TB, Marder E, Abbott LF. (1990). The effect of electrical coupling on the frequency of model neuronal oscillators. Science (New York, N.Y.). 248 [PubMed]
Kiehn O. (1991). Plateau potentials and active integration in the 'final common pathway' for motor behaviour. Trends in neurosciences. 14 [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]
Lecar H, Nossal R. (1971). Theory of threshold fluctuations in nerves. II. Analysis of various sources of membrane noise. Biophysical journal. 11 [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]
Mino H, Rubinstein JT, White JA. (2002). Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Annals of biomedical engineering. 30 [PubMed]
Neiman A, Schimansky-Geier L, Moss F, Shulgin B, Collins JJ. (1999). Synchronization of noisy systems by stochastic signals. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 60 [PubMed]
Pei X et al. (2001). Noise-induced impulse pattern modifications at different dynamical period-one situations in a computer model of temperature encoding. Biosystems. 62
Pei X et al. (2000). Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons. Chaos. 10
Pinsky PF, Rinzel J. (1994). Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. Journal of computational neuroscience. 1 [PubMed]
Rinzel J, Ermentrout GB. (1989). Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks.
Rinzel J, Wang XJ. (1995). Oscillatory and bursting properties of neurons The Handbook Of Brain Theory And Neural Networks.
Rinzel JA. (1987). A formal classification of bursting mechanisms in excitable systems Proc Intl Congress Mathematicians.
Rowat PF, Guckenheimer J. (1997). Dynamical systems analyses of real neuronal networks Neurons, Networks, Motor Behavior.
Rubinstein JT. (1995). Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophysical journal. 68 [PubMed]
Russell DF, Hartline DK. (1982). Slow active potentials and bursting motor patterns in pyloric network of the lobster, Panulirus interruptus. Journal of neurophysiology. 48 [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]
Selverston AI, Moulins M. (1987). The Crustacean Stomatogastric System.
Sigworth FJ. (1980). The variance of sodium current fluctuations at the node of Ranvier. The Journal of physiology. 307 [PubMed]
Simiu E. (2002). Chaotic Transitions In Deterministic And Stochastic Dynamical Systems.
Skaugen E, Walløe L. (1979). Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations. Acta physiologica Scandinavica. 107 [PubMed]
Spencer WA, Kandel E. (1961). Electrophysiology of hippocampal neurons J Neurophysiol. 24
Stevens CF, Zador AM. (1998). Input synchrony and the irregular firing of cortical neurons. Nature neuroscience. 1 [PubMed]
Strassberg AF, Defelice LJ. (1993). Limitations of the Hodgkin-Huxley formalism: eects of single channel kinetics on transmembrane voltage dynamics Neural Comput. 5
Terman D. (1991). Chaotic spikes arising from a model of bursting in excitable membranes. Siam J Appl Math. 51
Terman D. (1992). The transition from bursting to continuous spiking in excitable membrane models J Nonlinear Sci. 2
Traub RD, Wong RK, Miles R, Michelson H. (1991). A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. Journal of neurophysiology. 66 [PubMed]
Ulrich D. (2002). Dendritic resonance in rat neocortical pyramidal cells. Journal of neurophysiology. 87 [PubMed]
Wang XJ. (1993). Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle Phys D. 62
Wang XJ, Kepecs A. (2000). Analysis of complex bursting in cortical pyramidal neuron models. Neurocomputing. 32-33
White JA, Budde T, Kay AR. (1995). A bifurcation analysis of neuronal subthreshold oscillations. Biophysical journal. 69 [PubMed]
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]
Channell P, Fuwape I, Neiman AB, Shilnikov AL. (2009). Variability of bursting patterns in a neuron model in the presence of noise. Journal of computational neuroscience. 27 [PubMed]
Cymbalyuk G, Shilnikov A. (2005). Coexistence of tonic spiking oscillations in a leech neuron model. Journal of computational neuroscience. 18 [PubMed]
Goldwyn JH, Shea-Brown E. (2011). The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS computational biology. 7 [PubMed]
Orio P, Soudry D. (2012). Simple, fast and accurate implementation of the diffusion approximation algorithm for stochastic ion channels with multiple states. PloS one. 7 [PubMed]
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]