Abbott LF, van Vreeswijk C. (1993). Asynchronous states in networks of pulse-coupled oscillators. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 48 [PubMed]
Brette R, Gerstner W. (2005). Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. Journal of neurophysiology. 94 [PubMed]
Brette R et al. (2008). High-resolution intracellular recordings using a real-time computational model of the electrode. Neuron. 59 [PubMed]
Brunel N, Hakim V. (1999). Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural computation. 11 [PubMed]
Brunel N, Hakim V, Richardson MJ. (2003). Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance. Physical review. E, Statistical, nonlinear, and soft matter physics. 67 [PubMed]
Burkitt AN. (2001). Balanced neurons: analysis of leaky integrate-and-fire neurons with reversal potentials. Biological cybernetics. 85 [PubMed]
Burkitt AN. (2006). A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biological cybernetics. 95 [PubMed]
Chacron MJ, Lindner B, Longtin A. (2007). Threshold fatigue and information transfer. Journal of computational neuroscience. 23 [PubMed]
Destexhe A, Rudolph M. (2004). Extracting information from the power spectrum of synaptic noise. Journal of computational neuroscience. 17 [PubMed]
Destexhe A, Rudolph M, Bal T, Piwkowska Z, Brette R. (2005). How to emulate double-electrode recordings with a single-electrode? A new method of active electrode compensation Soc Neurosci Abstr. 31
Destexhe A, Rudolph M, Bal T, Piwkowska Z, Brette R. (2007). A non-parametric electrode model for intracellular recording Neurocomput. 70
Destexhe A, Rudolph M, Fellous JM, Sejnowski TJ. (2001). Fluctuating synaptic conductances recreate in vivo-like activity in neocortical neurons. Neuroscience. 107 [PubMed]
Ermentrout B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural computation. 8 [PubMed]
FUORTES MG, MANTEGAZZINI F. (1962). Interpretation of the repetitive firing of nerve cells. The Journal of general physiology. 45 [PubMed]
Fourcaud-Trocmé N, Brunel N. (2005). Dynamics of the instantaneous firing rate in response to changes in input statistics. Journal of computational neuroscience. 18 [PubMed]
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]
Geisler CD, Goldberg JM. (1966). A stochastic model of the repetitive activity of neurons. Biophysical journal. 6 [PubMed]
Gerstner W. (2001). Populations of spiking neurons Pulsed neural networks.
Gerstner W, van Hemmen JL. (1993). Coherence and incoherence in a globally coupled ensemble of pulse-emitting units. Physical review letters. 71 [PubMed]
Gigante G, Mattia M, Del Giudice P. (2007). Diverse population-bursting modes of adapting spiking neurons. Physical review letters. 98 [PubMed]
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]
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]
HODGKIN AL, HUXLEY AF, KATZ B. (1952). Measurement of current-voltage relations in the membrane of the giant axon of Loligo. The Journal of physiology. 116 [PubMed]
Huys QJ, Ahrens MB, Paninski L. (2006). Efficient estimation of detailed single-neuron models. Journal of neurophysiology. 96 [PubMed]
Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]
Jolivet R, Lewis TJ, Gerstner W. (2004). Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. Journal of neurophysiology. 92 [PubMed]
Kistler WM, Gerstner W. (2002). Spiking neuron models.
Kistler WM, van Hemmen JL, Gerstner W. (1997). Reduction of Hodgkin-Huxley equations to a single-variable threshold model. Neural Comput. 9
Koch C. (1999). Biophysics Of Computation: Information Processing in Single Neurons.
Kopell N, Ermentrout GB. (1986). Parabolic bursting in an excitable system coupled with a slow oscillation. Siam J Appl Math. 46
Lapicque L. (1907). Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen. 9
Latham PE, Richmond BJ, Nelson PG, Nirenberg S. (2000). Intrinsic dynamics in neuronal networks. I. Theory. Journal of neurophysiology. 83 [PubMed]
Lindner B, Longtin A. (2005). Effect of an exponentially decaying threshold on the firing statistics of a stochastic integrate-and-fire neuron. Journal of theoretical biology. 232 [PubMed]
Luscher HR, Gerstner W, Rauch A, Jolivet R, Clopath C. (2007). Predicting neuronal activity with simple models of the threshold type: adaptive exponential integrate-and-fire model with two compartments Neurocomput. 70
McCormick DA, Shu Y, Yu Y. (2007). Neurophysiology: Hodgkin and Huxley model--still standing? Nature. 445 [PubMed]
Naundorf B, Wolf F, Volgushev M. (2006). Unique features of action potential initiation in cortical neurons. Nature. 440 [PubMed]
Neiman A, Lindner B, Garcia-ojalvo J, Schimansky-geier L. (2004). Effects of noise in excitable systems Phys Rep. 392
Paninski L, Pillow JW, Simoncelli EP. (2004). Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model. Neural computation. 16 [PubMed]
Rauch A, La Camera G, Luscher HR, Senn W, Fusi S. (2003). Neocortical pyramidal cells respond as integrate-and-fire neurons to in vivo-like input currents. Journal of neurophysiology. 90 [PubMed]
Richardson MJ. (2004). Effects of synaptic conductance on the voltage distribution and firing rate of spiking neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 69 [PubMed]
Richardson MJ, Brunel N, Hakim V. (2003). From subthreshold to firing-rate resonance. Journal of neurophysiology. 89 [PubMed]
Richardson MJ, Gerstner W. (2005). Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance. Neural computation. 17 [PubMed]
Stein RB. (1967). The information capacity of nerve cells using a frequency code. Biophysical journal. 7 [PubMed]
Swensen AM, Marder E. (2000). Multiple peptides converge to activate the same voltage-dependent current in a central pattern-generating circuit. The Journal of neuroscience : the official journal of the Society for Neuroscience. 20 [PubMed]
Uhlenbeck GE, Ornstein LS. (1930). On the theory of Brownian motion Phys Rev. 36
Wang XJ, Buzsáki G. (1996). Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 16 [PubMed]
Wiener N. (1958). Nonlinear Problems in Random Theory.
Brette R. (2013). Sharpness of spike initiation in neurons explained by compartmentalization. PLoS computational biology. 9 [PubMed]
Buchin A, Rieubland S, Häusser M, Gutkin BS, Roth A. (2016). Inverse Stochastic Resonance in Cerebellar Purkinje Cells. PLoS computational biology. 12 [PubMed]
Clopath C, Büsing L, Vasilaki E, Gerstner W. (2010). Connectivity reflects coding: a model of voltage-based STDP with homeostasis. Nature neuroscience. 13 [PubMed]
Clopath C, Ziegler L, Vasilaki E, Büsing L, Gerstner W. (2008). Tag-trigger-consolidation: a model of early and late long-term-potentiation and depression. PLoS computational biology. 4 [PubMed]
Costa RP, Froemke RC, Sjöström PJ, van Rossum MC. (2015). Unified pre- and postsynaptic long-term plasticity enables reliable and flexible learning. eLife. 4 [PubMed]
Daneshzand M, Faezipour M, Barkana BD. (2017). Hyperbolic Modeling of Subthalamic Nucleus Cells to Investigate the Effect of Dopamine Depletion. Computational intelligence and neuroscience. 2017 [PubMed]
Huang C, Zeldenrust F, Celikel T. (2022). Cortical Representation of Touch in Silico Neuroinformatics. 20 [PubMed]
Kobayashi R, Tsubo Y, Shinomoto S. (2009). Made-to-order spiking neuron model equipped with a multi-timescale adaptive threshold. Frontiers in computational neuroscience. 3 [PubMed]
Linaro D, Couto J, Giugliano M. (2014). Command-line cellular electrophysiology for conventional and real-time closed-loop experiments. Journal of neuroscience methods. 230 [PubMed]
Linaro D, Ocker GK, Doiron B, Giugliano M. (2019). Correlation Transfer by Layer 5 Cortical Neurons Under Recreated Synaptic Inputs In Vitro. The Journal of neuroscience : the official journal of the Society for Neuroscience. 39 [PubMed]
Lindner B, Droste F. (2017). Exact analytical results for integrate-and-fire neurons driven by excitatory shot noise J. Comp. Neurosci..
Mensi S et al. (2012). Parameter extraction and classification of three cortical neuron types reveals two distinct adaptation mechanisms. Journal of neurophysiology. 107 [PubMed]
Morris G et al. (2017). Activity Clamp Provides Insights into Paradoxical Effects of the Anti-Seizure Drug Carbamazepine. The Journal of neuroscience : the official journal of the Society for Neuroscience. 37 [PubMed]
Platkiewicz J, Brette R. (2010). A threshold equation for action potential initiation. PLoS computational biology. 6 [PubMed]
Platkiewicz J, Brette R. (2011). Impact of fast sodium channel inactivation on spike threshold dynamics and synaptic integration. PLoS computational biology. 7 [PubMed]
Touboul J, Brette R. (2008). Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Biological cybernetics. 99 [PubMed]
Venkadesh S et al. (2018). Evolving Simple Models of Diverse Intrinsic Dynamics in Hippocampal Neuron Types. Frontiers in neuroinformatics. 12 [PubMed]
Xu X, Cang J, Riecke H. (2020). Development and Binocular Matching of Orientation Selectivity in Visual Cortex: A Computational Model. Journal of neurophysiology. 123 [PubMed]
Zeldenrust F, Chameau PJ, Wadman WJ. (2013). Reliability of spike and burst firing in thalamocortical relay cells. Journal of computational neuroscience. 35 [PubMed]