Naundorf B, Geisel T, Wolf F. (2005). Action potential onset dynamics and the response speed of neuronal populations. Journal of computational neuroscience. 18 [PubMed]

See more from authors: Naundorf B · Geisel T · Wolf F

References and models cited by this paper

Abramowitz M, Stegun IA. (1972). Stegun Handbook of Mathematical Functions.

Anderson JS, Lampl I, Gillespie DC, Ferster D. (2000). The contribution of noise to contrast invariance of orientation tuning in cat visual cortex. Science (New York, N.Y.). 290 [PubMed]

Bau D, Trefethen NL. (1997). Numerical Linear Algebra.

Benda J, Herz AV. (2003). A universal model for spike-frequency adaptation. Neural computation. 15 [PubMed]

Brumberg JC. (2002). Firing pattern modulation by oscillatory input in supragranular pyramidal neurons. Neuroscience. 114 [PubMed]

Brunel N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. Journal of computational neuroscience. 8 [PubMed]

Brunel N, Chance FS, Fourcaud N, Abbott LF. (2001). Effects of synaptic noise and filtering on the frequency response of spiking neurons. Physical review letters. 86 [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, Latham PE. (2003). Firing rate of the noisy quadratic integrate-and-fire neuron. Neural computation. 15 [PubMed]

Coddington E, Levinson N. (1955). Theory of Ordinary Differential Equations.

Destexhe A, Paré D. (1999). Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo. Journal of neurophysiology. 81 [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]

Gardiner C. (1985). Handbook of Stochastic Methods.

Geisel T, Wolf F, Naundorf B. (2004). Dynamical response properties of a canonicalmodel for Type-I membranes Neurocomputing.

Gerstner W. (2000). Population dynamics of spiking neurons: fast transients, asynchronous states, and locking. Neural computation. 12 [PubMed]

Guckenheimer J. (1975). Isochrons and phaseless sets. Journal of mathematical biology. 1 [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]

Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]

Knight BW. (1972). Dynamics of encoding in a population of neurons. The Journal of general physiology. 59 [PubMed]

Knight BW, Omurtag A, Sirovich L. (2000). The approach of a neuron population firing rate to a new equilibrium: an exact theoretical result. Neural computation. 12 [PubMed]

Kopell N, Ermentrout B. (1984). Frequency plateaus in a chain of weakly coupled oscillators. Siam J Math Anal. 15

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

Lehoucq R, Sorensen DC, Yang C. (1998). Arpack Users Guide: Solution of Large-Scale Eigenvalue Problems With Implicitly Restarted Arnoldi Methods.

Lindner B, Longtin A, Bulsara A. (2003). Analytic expressions for rate and CV of a type I neuron driven by white gaussian noise. Neural computation. 15 [PubMed]

Lindner B, Schimansky-Geier L. (2001). Transmission of noise coded versus additive signals through a neuronal ensemble. Physical review letters. 86 [PubMed]

Markram H, Pawelzik K, Tsodyks M, Silberberg G, Bethge M. (2001). Is population variance a signal for neocortical neurons? Proceedings of the 4th Meeting of the German Neuroscience Society 1.

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

Reichl LE. (1988). Transitions in the Floquet Rates of a Driven Stochastic-System J Stat Phys. 53

Risken H. (1996). The Fokker Planck Equation: Methods of Solution and Applications.

Silberberg G, Bethge M, Markram H, Pawelzik K, Tsodyks M. (2004). Dynamics of population rate codes in ensembles of neocortical neurons. Journal of neurophysiology. 91 [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]

Strogatz SH. (1995). Nonlinear Dynamics and Chaos.

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]

Tuckwell HC. (1988). Introduction to Theoretical Neurobiology. Volume 2: Nonlinear and Stochastic Theories .

Volgushev M, Eysel UT. (2000). Neuroscience. Noise makes sense in neuronal computing. Science (New York, N.Y.). 290 [PubMed]

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]

Winfree A. (2001). The Geometry of Biological Time (2nd ed).

Winfree AT. (1967). Biological rhythms and the behavior of populations of coupled oscillators. Journal of theoretical biology. 16 [PubMed]

van Vreeswijk C, Sompolinsky H. (1996). Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science (New York, N.Y.). 274 [PubMed]

van_Kampen NG. (1981). Ito versus Stratonovich J Stat Phys. 24

References and models that cite this paper

Bahl A, Stemmler MB, Herz AV, Roth A. (2012). Automated optimization of a reduced layer 5 pyramidal cell model based on experimental data. Journal of neuroscience methods. 210 [PubMed]

Köndgen H et al. (2008). The dynamical response properties of neocortical neurons to temporally modulated noisy inputs in vitro. Cerebral cortex (New York, N.Y. : 1991). 18 [PubMed]

Troyer TW. (2006). Factors affecting phase synchronization in integrate-and-fire oscillators. Journal of computational neuroscience. 20 [PubMed]

Öz P, Huang M, Wolf F. (2015). Action potential initiation in a multi-compartmental model with cooperatively gating Na channels in the axon initial segment. Journal of computational neuroscience. 39 [PubMed]

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.