A threshold equation for action potential initiation (Platkiewicz & Brette 2010)


Platkiewicz J, Brette R. (2010). A threshold equation for action potential initiation. PLoS computational biology. 6 [PubMed]

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References and models cited by this paper

Aizenman CD, Akerman CJ, Jensen KR, Cline HT. (2003). Visually driven regulation of intrinsic neuronal excitability improves stimulus detection in vivo. Neuron. 39 [PubMed]

Alle H, Roth A, Geiger JR. (2009). Energy-efficient action potentials in hippocampal mossy fibers. Science (New York, N.Y.). 325 [PubMed]

Angelino E, Brenner MP. (2007). Excitability constraints on voltage-gated sodium channels. PLoS computational biology. 3 [PubMed]

Azouz R, Gray CM. (1999). Cellular mechanisms contributing to response variability of cortical neurons in vivo. The Journal of neuroscience : the official journal of the Society for Neuroscience. 19 [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]

Azouz R, Gray CM. (2003). Adaptive coincidence detection and dynamic gain control in visual cortical neurons in vivo. Neuron. 37 [PubMed]

Badel L et al. (2008). Dynamic I-V curves are reliable predictors of naturalistic pyramidal-neuron voltage traces. Journal of neurophysiology. 99 [PubMed]

Baranauskas G, Martina M. (2006). Sodium currents activate without a Hodgkin-and-Huxley-type delay in central mammalian neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]

Bean BP. (2007). The action potential in mammalian central neurons. Nature reviews. Neuroscience. 8 [PubMed]

Brette R, Gerstner W. (2005). Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. Journal of neurophysiology. 94 [PubMed]

COOMBS JS, CURTIS DR, ECCLES JC. (1957). The interpretation of spike potentials of motoneurones. The Journal of physiology. 139 [PubMed]

COOMBS JS, ECCLES JC, FATT P. (1955). The inhibitory suppression of reflex discharges from motoneurones. The Journal of physiology. 130 [PubMed]

Catterall WA, Goldin AL, Waxman SG. (2005). International Union of Pharmacology. XLVII. Nomenclature and structure-function relationships of voltage-gated sodium channels. Pharmacological reviews. 57 [PubMed]

Chi XX, Nicol GD. (2007). Manipulation of the potassium channel Kv1.1 and its effect on neuronal excitability in rat sensory neurons. Journal of neurophysiology. 98 [PubMed]

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

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

Colwell LJ, Brenner MP. (2009). Action potential initiation in the hodgkin-huxley model. PLoS computational biology. 5 [PubMed]

Daoudal G, Debanne D. (2003). Long-term plasticity of intrinsic excitability: learning rules and mechanisms. Learning & memory (Cold Spring Harbor, N.Y.). 10 [PubMed]

Derksen HE, Verveen AA. (1968). Fluctuation phenomena in nerve membrane Proc IEEE. 56

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

Destexhe A, Rudolph M, Paré D. (2003). The high-conductance state of neocortical neurons in vivo. Nature reviews. Neuroscience. 4 [PubMed]

Dodla R, Svirskis G, Rinzel J. (2006). Well-timed, brief inhibition can promote spiking: postinhibitory facilitation. Journal of neurophysiology. 95 [PubMed]

Escabí MA, Nassiri R, Miller LM, Schreiner CE, Read HL. (2005). The contribution of spike threshold to acoustic feature selectivity, spike information content, and information throughput. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

FITZHUGH R. (1960). Thresholds and plateaus in the Hodgkin-Huxley nerve equations. The Journal of general physiology. 43 [PubMed]

Ferragamo MJ, Oertel D. (2002). Octopus cells of the mammalian ventral cochlear nucleus sense the rate of depolarization. Journal of neurophysiology. 87 [PubMed]

Fitzhugh R. (1955). Mathematical models of threshold phenomena in the nerve membrane Bullmath Biophys. 17

Fourcaud-Trocmé N, Hansel D, van Vreeswijk C, Brunel N. (2003). How spike generation mechanisms determine the neuronal response to fluctuating inputs. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [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]

Fricker D, Verheugen JA, Miles R. (1999). Cell-attached measurements of the firing threshold of rat hippocampal neurones. The Journal of physiology. 517 ( Pt 3) [PubMed]

Fried SI, Lasker AC, Desai NJ, Eddington DK, Rizzo JF. (2009). Axonal sodium-channel bands shape the response to electric stimulation in retinal ganglion cells. Journal of neurophysiology. 101 [PubMed]

Gittelman JX, Tempel BL. (2006). Kv1.1-containing channels are critical for temporal precision during spike initiation. Journal of neurophysiology. 96 [PubMed]

Goldberg EM et al. (2008). K+ channels at the axon initial segment dampen near-threshold excitability of neocortical fast-spiking GABAergic interneurons. Neuron. 58 [PubMed]

Goodman D, Brette R. (2008). Brian: a simulator for spiking neural networks in python. Frontiers in neuroinformatics. 2 [PubMed]

Guan D, Lee JC, Higgs MH, Spain WJ, Foehring RC. (2007). Functional roles of Kv1 channels in neocortical pyramidal neurons. Journal of neurophysiology. 97 [PubMed]

Gutkin B, Ermentrout GB. (2006). Neuroscience: spikes too kinky in the cortex? Nature. 440 [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]

Henze DA, Buzsáki G. (2001). Action potential threshold of hippocampal pyramidal cells in vivo is increased by recent spiking activity. Neuroscience. 105 [PubMed]

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

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]

Huguenard JR, Hamill OP, Prince DA. (1988). Developmental changes in Na+ conductances in rat neocortical neurons: appearance of a slowly inactivating component. Journal of neurophysiology. 59 [PubMed]

Inda MC, DeFelipe J, Muñoz A. (2006). Voltage-gated ion channels in the axon initial segment of human cortical pyramidal cells and their relationship with chandelier cells. Proceedings of the National Academy of Sciences of the United States of America. 103 [PubMed]

Jolivet R et al. (2008). The quantitative single-neuron modeling competition. Biological cybernetics. 99 [PubMed]

Kempter R, Gerstner W, van Hemmen JL. (1998). How the threshold of a neuron determines its capacity for coincidence detection. Bio Systems. 48 [PubMed]

Koch C. (1999). Biophysics Of Computation: Information Processing in Single Neurons.

Koch C, Bernander O, Douglas RJ. (1995). Do neurons have a voltage or a current threshold for action potential initiation? Journal of computational neuroscience. 2 [PubMed]

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

Kole MH, Letzkus JJ, Stuart GJ. (2007). Axon initial segment Kv1 channels control axonal action potential waveform and synaptic efficacy. Neuron. 55 [PubMed]

Kole MH, Stuart GJ. (2008). Is action potential threshold lowest in the axon? Nature neuroscience. 11 [PubMed]

Kress GJ, Mennerick S. (2009). Action potential initiation and propagation: upstream influences on neurotransmission. Neuroscience. 158 [PubMed]

Kuba H, Ishii TM, Ohmori H. (2006). Axonal site of spike initiation enhances auditory coincidence detection. Nature. 444 [PubMed]

Kuba H, Yamada R, Fukui I, Ohmori H. (2005). Tonotopic specialization of auditory coincidence detection in nucleus laminaris of the chick. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Lecar H, Nossal R. (1971). Theory of threshold fluctuations in nerves. I. Relationships between electrical noise and fluctuations in axon firing. Biophysical journal. 11 [PubMed]

Lecar H, Nossal R. (1971). Theory of threshold fluctuations in nerves. II. Analysis of various sources of membrane noise. Biophysical journal. 11 [PubMed]

Llinás RR. (1988). The intrinsic electrophysiological properties of mammalian neurons: insights into central nervous system function. Science (New York, N.Y.). 242 [PubMed]

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

Mainen ZF, Joerges J, Huguenard JR, Sejnowski TJ. (1995). A model of spike initiation in neocortical pyramidal neurons. Neuron. 15 [PubMed]

Maravall M, Stern EA, Svoboda K. (2004). Development of intrinsic properties and excitability of layer 2/3 pyramidal neurons during a critical period for sensory maps in rat barrel cortex. Journal of neurophysiology. 92 [PubMed]

McCormick DA. (2004). Membrane Properties and Neurotransmitter Actions The Synaptic Organization of the Brain.

McCormick DA, Shu Y, Yu Y. (2007). Neurophysiology: Hodgkin and Huxley model--still standing? Nature. 445 [PubMed]

Meeks JP, Mennerick S. (2007). Action potential initiation and propagation in CA3 pyramidal axons. Journal of neurophysiology. 97 [PubMed]

Mejia-Gervacio S et al. (2007). Axonal speeding: shaping synaptic potentials in small neurons by the axonal membrane compartment. Neuron. 53 [PubMed]

Monsivais P, Rubel EW. (2001). Accommodation enhances depolarizing inhibition in central neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [PubMed]

Naundorf B, Wolf F, Volgushev M. (2006). Unique features of action potential initiation in cortical neurons. Nature. 440 [PubMed]

Noble D, Stein RB. (1966). The threshold conditions for initiation of action potentials by excitable cells. The Journal of physiology. 187 [PubMed]

Nowak LG, Sanchez-Vives MV, McCormick DA. (2008). Lack of orientation and direction selectivity in a subgroup of fast-spiking inhibitory interneurons: cellular and synaptic mechanisms and comparison with other electrophysiological cell types. Cerebral cortex (New York, N.Y. : 1991). 18 [PubMed]

Ogawa Y, Rasband MN. (2008). The functional organization and assembly of the axon initial segment. Current opinion in neurobiology. 18 [PubMed]

Piwkowska Z et al. (2008). Characterizing synaptic conductance fluctuations in cortical neurons and their influence on spike generation. Journal of neuroscience methods. 169 [PubMed]

Pratt KG, Aizenman CD. (2007). Homeostatic regulation of intrinsic excitability and synaptic transmission in a developing visual circuit. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]

Priebe NJ, Ferster D. (2008). Inhibition, spike threshold, and stimulus selectivity in primary visual cortex. Neuron. 57 [PubMed]

Qian N, Sejnowski TJ. (1990). When is an inhibitory synapse effective? Proceedings of the National Academy of Sciences of the United States of America. 87 [PubMed]

Reyes AD, Fetz EE. (1993). Two modes of interspike interval shortening by brief transient depolarizations in cat neocortical neurons. Journal of neurophysiology. 69 [PubMed]

Reyes AD, Fetz EE. (1993). Effects of transient depolarizing potentials on the firing rate of cat neocortical neurons. Journal of neurophysiology. 69 [PubMed]

Rinzel J, Ermentrout GB. (1989). Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks.

Schulz DJ. (2006). Plasticity and stability in neuronal output via changes in intrinsic excitability: it's what's inside that counts. The Journal of experimental biology. 209 [PubMed]

Sekerli M, Del Negro CA, Lee RH, Butera RJ. (2004). Estimating action potential thresholds from neuronal time-series: new metrics and evaluation of methodologies. IEEE transactions on bio-medical engineering. 51 [PubMed]

Shu Y, Yu Y, Yang J, McCormick DA. (2007). Selective control of cortical axonal spikes by a slowly inactivating K+ current. Proceedings of the National Academy of Sciences of the United States of America. 104 [PubMed]

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

Spitzer NC, Kingston PA, Manning TJ, Conklin MW. (2002). Outside and in: development of neuronal excitability. Current opinion in neurobiology. 12 [PubMed]

Stuart G, Schiller J, Sakmann B. (1997). Action potential initiation and propagation in rat neocortical pyramidal neurons. The Journal of physiology. 505 ( Pt 3) [PubMed]

Trevelyan AJ, Jack J. (2002). Detailed passive cable models of layer 2/3 pyramidal cells in rat visual cortex at different temperatures. The Journal of physiology. 539 [PubMed]

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

Wickens JR, Wilson CJ. (1998). Regulation of action-potential firing in spiny neurons of the rat neostriatum in vivo. Journal of neurophysiology. 79 [PubMed]

Wilent WB, Contreras D. (2005). Stimulus-dependent changes in spike threshold enhance feature selectivity in rat barrel cortex neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [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]

Zhong G, Díaz-Ríos M, Harris-Warrick RM. (2006). Serotonin modulates the properties of ascending commissural interneurons in the neonatal mouse spinal cord. Journal of neurophysiology. 95 [PubMed]

de Polavieja GG, Harsch A, Kleppe I, Robinson HP, Juusola M. (2005). Stimulus history reliably shapes action potential waveforms of cortical neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

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Brette R. (2013). Sharpness of spike initiation in neurons explained by compartmentalization. PLoS computational biology. 9 [PubMed]

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McKinnon ML et al. (2019). Dramatically Amplified Thoracic Sympathetic Postganglionic Excitability and Integrative Capacity Revealed with Whole-Cell Patch-Clamp Recordings. eNeuro. 6 [PubMed]

Moubarak E et al. (2019). Robustness to Axon Initial Segment Variation Is Explained by Somatodendritic Excitability in Rat Substantia Nigra Dopaminergic Neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 39 [PubMed]

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Zemel BM et al. (2021). Resurgent Na+ currents promote ultrafast spiking in projection neurons that drive fine motor control Nature communications. 12 [PubMed]

Zerlaut Y, Chemla S, Chavane F, Destexhe A. (2018). Modeling mesoscopic cortical dynamics using a mean-field model of conductance-based networks of adaptive exponential integrate-and-fire neurons. Journal of computational neuroscience. 44 [PubMed]

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