References and models cited by this paper | References and models that cite this paper | |||||||||||||||
Agmon A, Connors BW (1989) Repetitive burst-firing neurons in the deep layers of mouse somatosensory cortex. Neurosci Lett 99:137-41 [PubMed] Arvanitaki A, Chalazonitis N (1967) Electrical properties and temporal organization in oscillatory neurons Neurobiology Of Invertebrates :169-199 Bal T, Nagy F, Et_al (1988) The pyloric central pattern generator in crustacea: A set of conditional neuronal oscillators J Comp Physiol 163:715-727 Braun H, Huber M, Et_al (2000) nteractions between slow and fast conductances in the Huber-Braun model of cold-receptor discharges Neurocomput 32:51-59 Braun HA, Huber MT, Anthes N, Voigt K, Neiman A, Pei X, Moss F (2001) Noise-induced impulse pattern modifications at different dynamical period-one situations in a computer model of temperature encoding. Biosystems 62:99-112 Braun HA, Huber MT, Et_al (1998) Computer simulations of neuronal signal transduction: the role of nonlinear dynamics and noise. Chaos 8:881-889 Braun HA, Wissing H, Schäfer K, Hirsch MC (1994) Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature 367:270-3 [Journal] [PubMed] Calvin WH, Stevens CF (1968) Synaptic noise and other sources of randomness in motoneuron interspike intervals. J Neurophysiol 31:574-87 [Journal] [PubMed] Chow CC, White JA (1996) Spontaneous action potentials due to channel fluctuations. Biophys J 71:3013-21 [Journal] [PubMed]
Collins JJ, Chow CC, Imhoff TT (1995) Stochastic resonance without tuning. Nature 376:236-8 [Journal] [PubMed] Conti F, Wanke E (1975) Channel noise in nerve membranes and lipid bilayers. Q Rev Biophys 8:451-506 [PubMed] Cymbalyuk GS, Gaudry Q, Masino MA, Calabrese RL (2002) Bursting in leech heart interneurons: cell-autonomous and network-based mechanisms. J Neurosci 22:10580-92 [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. J Neurophysiol 82:115-22 [Journal] [PubMed] Faure P, Korn H (1997) A nonrandom dynamic component in the synaptic noise of a central neuron. Proc Natl Acad Sci U S A 94:6506-11 [PubMed] Feudel U, Neiman A, Pei X, Wojtenek W, Braun H, Huber M, Moss F (2000) Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 10:231-239 Fox RF (1997) Stochastic versions of the Hodgkin-Huxley equations. Biophys J 72:2068-74 [Journal] [PubMed] Fox RF, Lu Yn (1994) Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 49:3421-3431 [PubMed] Guckenheimer J, Rowat PF (1997) Dynamical systems analyses of real neuronal networks Neurons, Networks, Motor Behavior, Stein PS:Grillner S:Selverston AI:Stuart DG, ed. pp.151 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 15:345-64 Hille B (2001) Classic mechanisms of block Ion Channels of Excitable Membranes (3rd edn) :503-537 HODGKIN AL, HUXLEY AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed] Hunter JD, Milton JG (2003) Amplitude and frequency dependence of spike timing: implications for dynamic regulation. J Neurophysiol 90:387-94 [Journal] [PubMed] Hunter JD, Milton JG, Thomas PJ, Cowan JD (1998) Resonance effect for neural spike time reliability. J Neurophysiol 80:1427-38 [Journal] [PubMed] Hutcheon B, Yarom Y (2000) Resonance, oscillation and the intrinsic frequency preferences of neurons. Trends Neurosci 23:216-22 [PubMed] Izhikevich EM (2000) Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng 10:1171-1266 Kandel E, Spencer WA (1961) Electrophysiology of hippocampal neurons J Neurophysiol 24:243-260 [Journal] 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. J Neurophysiol 80:1167-79 [Journal] [PubMed] Kepecs A, Wang XJ (2000) Analysis of complex bursting in cortical pyramidal neuron models. Neurocomputing 32-33:181-187 Kepler TB, Marder E, Abbott LF (1990) The effect of electrical coupling on the frequency of model neuronal oscillators. Science 248:83-5 [PubMed] Kiehn O (1991) Plateau potentials and active integration in the 'final common pathway' for motor behaviour. Trends Neurosci 14:68-73 [PubMed] Klink R, Alonso A (1993) Ionic mechanisms for the subthreshold oscillations and differential electroresponsiveness of medial entorhinal cortex layer II neurons. J Neurophysiol 70:144-57 [Journal] [PubMed] Lecar H, Nossal R (1971) Theory of threshold fluctuations in nerves. II. Analysis of various sources of membrane noise. Biophys J 11:1068-84 [Journal] [PubMed] Mainen ZF, Sejnowski TJ (1995) Reliability of spike timing in neocortical neurons. Science 268:1503-6 [PubMed] Mainen ZF, Sejnowski TJ (1996) Influence of dendritic structure on firing pattern in model neocortical neurons. Nature 382:363-6 [Journal] [PubMed]
Mino H, Rubinstein JT, White JA (2002) Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Ann Biomed Eng 30:578-87 [PubMed] Neiman A, Schimansky-Geier L, Moss F, Shulgin B, Collins JJ (1999) Synchronization of noisy systems by stochastic signals. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 60:284-92 [PubMed] Oldeman BE, Krauskpof B, Et_al (2000) Death of period-doublings: Locating the homoclinic-doubling cascade Physica D 146:100-120 Pinsky PF, Rinzel J (1994) Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J Comput Neurosci 1:39-60 [PubMed]
Rinzel J, Ermentrout GB (1989) Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks, Koch C:Segev I, ed. pp.135 Rinzel JA (1987) A formal classification of bursting mechanisms in excitable systems Proc Intl Congress Mathematicians, Gleason AM, ed. pp.1578 Rubinstein JT (1995) Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophys J 68:779-85 [Journal] [PubMed] Russell DF, Hartline DK (1982) Slow active potentials and bursting motor patterns in pyloric network of the lobster, Panulirus interruptus. J Neurophysiol 48:914-37 [Journal] [PubMed] Schneidman E, Freedman B, Segev I (1998) Ion channel stochasticity may be critical in determining the reliability and precision of spike timing. Neural Comput 10:1679-703 [PubMed] Selverston AI, Moulins M (1987) The Crustacean Stomatogastric System Sigworth FJ (1980) The variance of sodium current fluctuations at the node of Ranvier. J Physiol 307:97-129 [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 Physiol Scand 107:343-63 [Journal] [PubMed] Stevens CF, Zador AM (1998) Input synchrony and the irregular firing of cortical neurons. Nat Neurosci 1:210-7 [Journal] [PubMed] Strassberg AF, Defelice LJ (1993) Limitations of the Hodgkin-Huxley formalism: eects of single channel kinetics on transmembrane voltage dynamics Neural Comput 5:843-855 Terman D (1991) Chaotic spikes arising from a model of bursting in excitable membranes. Siam J Appl Math 51:1418-1450 Terman D (1992) The transition from bursting to continuous spiking in excitable membrane models J Nonlinear Sci 2:135-182 Traub RD, Wong RK, Miles R, Michelson H (1991) A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. J Neurophysiol 66:635-50 [Journal] [PubMed]
Ulrich D (2002) Dendritic resonance in rat neocortical pyramidal cells. J Neurophysiol 87:2753-9 [Journal] [PubMed] Wang XJ (1993) Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle Phys D 62:263-274 Wang XJ, Rinzel J (1995) Oscillatory and bursting properties of neurons The Handbook Of Brain Theory And Neural Networks, Arbib MA, ed. pp.686 White JA, Budde T, Kay AR (1995) A bifurcation analysis of neuronal subthreshold oscillations. Biophys J 69:1203-17 [Journal] [PubMed] White JA, Klink R, Alonso A, Kay AR (1998) Noise from voltage-gated ion channels may influence neuronal dynamics in the entorhinal cortex. J Neurophysiol 80:262-9 [Journal] [PubMed] White JA, Rubinstein JT, Kay AR (2000) Channel noise in neurons. Trends Neurosci 23:131-7 [PubMed] | Channell P, Fuwape I, Neiman AB, Shilnikov AL (2009) Variability of bursting patterns in a neuron model in the presence of noise. J Comput Neurosci 27:527-42 [Journal] [PubMed]
Cymbalyuk G, Shilnikov A (2005) Coexistence of tonic spiking oscillations in a leech neuron model. J Comput Neurosci 18:255-63 [Journal] [PubMed] Goldwyn JH, Shea-Brown E (2011) The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS Comput Biol 7:e1002247 [Journal] [PubMed]
Rowat P (2007) Interspike interval statistics in the stochastic Hodgkin-Huxley model: coexistence of gamma frequency bursts and highly irregular firing. Neural Comput 19:1215-50 [Journal] [PubMed] |