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Naundorf B, Geisel T, and Wolf F (2005) Action Potential Onset Dynamics and the Response Speed of Neuronal Populations J Comp Neurosci 18:297-309

References and models cited by this paper

References and models that cite 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 290:1968-72 [PubMed]

Benda J, Herz AV (2003) A universal model for spike-frequency adaptation. Neural Comput 15:2523-64 [PubMed]

Bethge M, Silberberg G, Markram H, Tsodyks M, Pawelzik K (2001) Is population variance a signal for neocortical neurons? Proceedings of the 4th Meeting of the German Neuroscience Society 1, Elsner N:Kreutzberg GW, ed. pp.249

Brumberg JC (2002) Firing pattern modulation by oscillatory input in supragranular pyramidal neurons. Neuroscience 114:239-46

Brunel N (2000) Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J Comput Neurosci 8:183-208 [Journal] [PubMed]

   Sparsely connected networks of spiking neurons (Brunel 2000) [Model]

Brunel N, Chance FS, Fourcaud N, Abbott LF (2001) Effects of synaptic noise and filtering on the frequency response of spiking neurons. Phys Rev Lett 86:2186-9 [PubMed]

Brunel N, Hakim V (1999) Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput 11:1621-71 [Journal] [PubMed]

   Fast global oscillations in networks of I&F neurons with low firing rates (Brunel and Hakim 1999) [Model]

Brunel N, Latham PE (2003) Firing rate of the noisy quadratic integrate-and-fire neuron. Neural Comput 15:2281-306 [PubMed]

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

Destexhe A, Pare D (1999) Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo. J Neurophysiol 81:1531-47 [Journal] [PubMed]

Ermentrout B, Kopell N (1984) Frequency plateaus in a chain of weakly coupled oscillators. Siam J Math Anal 15:215-237

Ermentrout GB, Kopell N (1986) Parabolic bursting in an excitable system coupled with a slow oscillation. Siam J Appl Math 46:233-253

Fourcaud-Trocme N, Hansel D, van Vreeswijk C, Brunel N (2003) How spike generation mechanisms determine the neuronal response to fluctuating inputs. J Neurosci 23:11628-40 [PubMed]

Gardiner C (1985) Handbook of Stochastic Methods

Gerstner W (2000) Population dynamics of spiking neurons: fast transients, asynchronous states, and locking. Neural Comput 12:43-89 [PubMed]

Guckenheimer J (1975) Isochrons and phaseless sets J Math Biol 1:259-273

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 Comput 10:1047-65 [PubMed]

Izhikevich EM (2004) Which model to use for cortical spiking neurons? IEEE Trans Neural Netw 15:1063-70 [Journal] [PubMed]

   Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]

Knight BW (1972) Dynamics of encoding in a population of neurons. J Gen Physiol 59:734-66 [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 Comput 12:1045-55 [PubMed]

Lapicque L (1907) Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen 9:620-635 [Journal]

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 Comput 15:1760-87 [PubMed]

Lindner B, Schimansky-Geier L (2001) Transmission of noise coded versus additive signals through a neuronal ensemble. Phys Rev Lett 86:2934-7 [PubMed]

Morris C, Lecar H (1981) Voltage oscillations in the barnacle giant muscle fiber. Biophys J 35:193-213 [Journal] [PubMed]

   Morris-Lecar model of the barnacle giant muscle fiber (Morris, Lecar 1981) [Model]

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

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. J Neurophysiol 90:1598-612 [Journal] [PubMed]

Reichl LE (1988) Transitions in the Floquet Rates of a Driven Stochastic-System J Stat Phys 53:41

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. J Neurophysiol 91:704-9 [PubMed]

Softky WR, Koch C (1993) The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. J Neurosci 13:334-50 [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. J Neurophysiol 92:2283-94 [PubMed]

Trefethen NL, Bau D (1997) Numerical Linear Algebra

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

van Vreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274:1724-6 [PubMed]

van_Kampen NG (1981) Ito versus Stratonovich J Stat Phys 24:175-187

Volgushev M, Eysel UT (2000) Neuroscience. Noise makes sense in neuronal computing. Science 290:1908-9 [PubMed]

Wang XJ, Buzsaki G (1996) Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. J Neurosci 16:6402-13 [Journal] [PubMed]

   Gamma oscillations in hippocampal interneuron networks (Wang, Buzsaki 1996) [Model]

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

Winfree AT (1967) Biological rhythms and the behavior of populations of coupled oscillators. J Theor Biol 16:15-42 [PubMed]

Bahl A, Stemmler MB, Herz AV, Roth A (2012) Automated optimization of a reduced layer 5 pyramidal cell model based on experimental data. J Neurosci Methods 210:22-34 [Journal] [PubMed]

   A set of reduced models of layer 5 pyramidal neurons (Bahl et al. 2012) [Model]

Koendgen H, Geisler C, Fusi S, Wang XJ, Luscher HR, Giugliano M (2008) The dynamical response properties of neocortical neurons to temporally modulated noisy inputs in vitro. Cereb Cortex 18:2086-97 [Journal] [PubMed]

   Response properties of neocort. neurons to temporally modulated noisy inputs (Koendgen et al. 2008) [Model]

Oz P, Huang M, Wolf F (2015) Action potential initiation in a multi-compartmental model with cooperatively gating Na channels in the axon initial segment. J Comput Neurosci 39:63-75 [Journal] [PubMed]

   MCCAIS model (multicompartmental cooperative AIS) (Öz et al 2015) [Model]

Troyer TW (2006) Factors affecting phase synchronization in integrate-and-fire oscillators J Comput Neurosci 20:191-200 [Journal]

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