메뉴 건너뛰기




Volumn 99, Issue 4-5, 2008, Pages 381-392

Spike-train spectra and network response functions for non-linear integrate-and-fire neurons

Author keywords

First passage time density; Fokker Planck equation; Recurrent networks; Spike train spectrum; Threshold integration method

Indexed keywords

FIRES; FOKKER PLANCK EQUATION; LOCOMOTIVES; MILITARY OPERATIONS; NEURAL NETWORKS; NEURONS; RAILROAD CARS;

EID: 56449130455     PISSN: 03401200     EISSN: 14320770     Source Type: Journal    
DOI: 10.1007/s00422-008-0244-y     Document Type: Article
Times cited : (60)

References (40)
  • 1
    • 33947515167 scopus 로고    scopus 로고
    • The impact of input fluctuations on the frequency-current relationships of layer 5 pyramidal neurons in the rat medial prefrontal cortex
    • M Arsiero H-R Lüscher BN Lundstrom M Giugliano 2007 The impact of input fluctuations on the frequency-current relationships of layer 5 pyramidal neurons in the rat medial prefrontal cortex J Neurosci 27 3274 3284
    • (2007) J Neurosci , vol.27 , pp. 3274-3284
    • Arsiero, M.1    Lüscher, H.-R.2    Lundstrom, B.N.3    Giugliano, M.4
  • 3
    • 0033210816 scopus 로고    scopus 로고
    • Fast global oscillations in networks of integrate-and-fire neurons with low firing rates
    • N Brunel V Hakim 1999 Fast global oscillations in networks of integrate-and-fire neurons with low firing rates Neural Comput 11 1621 1671
    • (1999) Neural Comput , vol.11 , pp. 1621-1671
    • Brunel, N.1    Hakim, V.2
  • 4
    • 0038162289 scopus 로고    scopus 로고
    • What determines the frequency of fast network oscillations with irregular neural discharges?
    • N Brunel X-J Wang 2003 What determines the frequency of fast network oscillations with irregular neural discharges? J Neurophysiol 90 415 430
    • (2003) J Neurophysiol , vol.90 , pp. 415-430
    • Brunel, N.1    Wang, X.-J.2
  • 5
    • 0041360352 scopus 로고    scopus 로고
    • Firing rate of noisy quadratic integrate- and-fire neurons
    • N Brunel P Latham 2003 Firing rate of noisy quadratic integrate- and-fire neurons Neural Comput 15 2281 2306
    • (2003) Neural Comput , vol.15 , pp. 2281-2306
    • Brunel, N.1    Latham, P.2
  • 6
    • 42749100584 scopus 로고    scopus 로고
    • Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance
    • art-no 051916
    • Brunel N, Hakim V, Richardson MJE (2003) Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance. Phys Rev E 67:art-no 051916
    • (2003) Phys Rev e , vol.67
    • Brunel, N.1    Hakim, V.2    Richardson, M.J.E.3
  • 7
    • 33745712258 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
    • AN Burkitt 2006 A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input Biol Cybern 95 1 19
    • (2006) Biol Cybern , vol.95 , pp. 1-19
    • Burkitt, A.N.1
  • 8
    • 33745730999 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: II Inhomogeneous synaptic input and network properties
    • AN Burkitt 2006 A review of the integrate-and-fire neuron model: II Inhomogeneous synaptic input and network properties Biol Cybern 95 97 112
    • (2006) Biol Cybern , vol.95 , pp. 97-112
    • Burkitt, A.N.1
  • 9
    • 0022693272 scopus 로고
    • Parabolic bursting in an excitable system coupled with a slow oscillation
    • GB Ermentrout N Kopell 1986 Parabolic bursting in an excitable system coupled with a slow oscillation SIAM J Appl Math 46 233 253
    • (1986) SIAM J Appl Math , vol.46 , pp. 233-253
    • Ermentrout, G.B.1    Kopell, N.2
  • 10
    • 0347694858 scopus 로고    scopus 로고
    • How spike generation mechanisms determine the neuronal response to fluctuating inputs
    • N Fourcaud-Trocmé D Hansel C van Vresswijk N Brunel 2003 How spike generation mechanisms determine the neuronal response to fluctuating inputs J Neurosci 23 11628 11640
    • (2003) J Neurosci , vol.23 , pp. 11628-11640
    • Fourcaud-Trocmé, N.1    Hansel, D.2    Van Vresswijk, C.3    Brunel, N.4
  • 11
    • 18144386904 scopus 로고    scopus 로고
    • Dynamics of the instantaneous firing rate in response to changes in input statistics
    • N Fourcaud-Trocmé N Brunel 2005 Dynamics of the instantaneous firing rate in response to changes in input statistics J Comput Neurosci 18 311 321
    • (2005) J Comput Neurosci , vol.18 , pp. 311-321
    • Fourcaud-Trocmé, N.1    Brunel, N.2
  • 12
    • 0036340236 scopus 로고    scopus 로고
    • Spike frequency adaptation and neocortical rhythms
    • G Fuhrmann H Markram M Tsodyks 2002 Spike frequency adaptation and neocortical rhythms J Neurophys 88 761 770
    • (2002) J Neurophys , vol.88 , pp. 761-770
    • Fuhrmann, G.1    Markram, H.2    Tsodyks, M.3
  • 14
    • 34147131228 scopus 로고    scopus 로고
    • Diverse population-bursting modes of adapting spiking neurons
    • art-no 148101
    • Gigante G, Mattia M, Del Giudice P (2007) Diverse population-bursting modes of adapting spiking neurons. Phys Rev Lett 98:art-no 148101
    • (2007) Phys Rev Lett , vol.98
    • Gigante, G.1    Mattia, M.2    Del Giudice, P.3
  • 15
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • A Hodgkin A Huxley 1952 A quantitative description of membrane current and its application to conduction and excitation in nerve J Physiol 117 500 544
    • (1952) J Physiol , vol.117 , pp. 500-544
    • Hodgkin, A.1    Huxley, A.2
  • 16
    • 0035278272 scopus 로고    scopus 로고
    • Shot noise in the leaky integrate-and-fire neuron
    • art-no 031902
    • Hohn N, Burkitt AN (2001) Shot noise in the leaky integrate-and-fire neuron. Phys Rev E 63:art-no 031902
    • (2001) Phys Rev e , vol.63
    • Hohn, N.1    Burkitt, A.N.2
  • 17
    • 0002525530 scopus 로고
    • Caianiello ER (ed) Springer, New York
    • Johannesma PIM (1968) In: Caianiello ER (ed) Neural networks. Springer, New York, pp 116-144
    • (1968) Neural Networks , pp. 116-144
    • Johannesma, P.I.M.1
  • 18
    • 33745833056 scopus 로고    scopus 로고
    • Predicting spike timing of neocortical pyramidal neurons by simple threshold models
    • A Jolivet A Rauch H-R Lüscher W Gerstner 2006 Predicting spike timing of neocortical pyramidal neurons by simple threshold models J Comput Neurosci 21 35 49
    • (2006) J Comput Neurosci , vol.21 , pp. 35-49
    • Jolivet, A.1    Rauch, A.2    Lüscher, H.-R.3    Gerstner, W.4
  • 20
    • 0015357448 scopus 로고
    • Dynamics of encoding in a population of neurons
    • BW Knight 1972 Dynamics of encoding in a population of neurons J Gen Physiol 59 734 766
    • (1972) J Gen Physiol , vol.59 , pp. 734-766
    • Knight, B.W.1
  • 21
    • 0015353310 scopus 로고
    • The relationship between the firing rate of a single neuron and the level of activity in a population of neurons
    • BW Knight 1972 The relationship between the firing rate of a single neuron and the level of activity in a population of neurons J Gen Physiol 59 767 778
    • (1972) J Gen Physiol , vol.59 , pp. 767-778
    • Knight, B.W.1
  • 22
    • 54149099557 scopus 로고    scopus 로고
    • The dynamical response properties of neocortical neurons to temporally modulated noisy inputs in vitro
    • 10.1093/cercor/bhm235
    • Köndgen H, Geisler C, Fusi S, Wang X-J, Lüscher H-R, Giugliano M (2008) The dynamical response properties of neocortical neurons to temporally modulated noisy inputs in vitro. Cerebr Cortex. doi: 10.1093/cercor/bhm235
    • (2008) Cerebr Cortex
    • Köndgen, H.1    Geisler, C.2    Fusi, S.3    Wang, X.-J.4    Lüscher, H.-R.5    Giugliano, M.6
  • 23
    • 0023130393 scopus 로고
    • Diffusion approximation of the neuronal model with synaptic reversal potentials
    • P Lansky V Lanska 1987 Diffusion approximation of the neuronal model with synaptic reversal potentials Biol Cybern 56 19 26
    • (1987) Biol Cybern , vol.56 , pp. 19-26
    • Lansky, P.1    Lanska, V.2
  • 24
    • 0035794252 scopus 로고    scopus 로고
    • Transmission of noise coded versus additive signals through a neuronal ensemble
    • B Lindner L Schimansky-Geier 2001 Transmission of noise coded versus additive signals through a neuronal ensemble Phys Rev Lett 86 2934 2937
    • (2001) Phys Rev Lett , vol.86 , pp. 2934-2937
    • Lindner, B.1    Schimansky-Geier, L.2
  • 25
    • 37649027556 scopus 로고    scopus 로고
    • Maximizing spike train coherence or incoherence in the leaky integrate-and-fire model
    • art-no 031916
    • Lindner B, Schimansky-Geier L, Longtin A (2002) Maximizing spike train coherence or incoherence in the leaky integrate-and-fire model. Phys Rev E 66:art-no 031916
    • (2002) Phys Rev e , vol.66
    • Lindner, B.1    Schimansky-Geier, L.2    Longtin, A.3
  • 26
    • 0043009735 scopus 로고    scopus 로고
    • Analytic expressions for rate and CV of a type i Neuron driven by white Gaussian noise
    • B Lindner A Longtin A Bulsara 2003 Analytic expressions for rate and CV of a type I Neuron driven by white Gaussian noise Neural Comput 15 1761 1788
    • (2003) Neural Comput , vol.15 , pp. 1761-1788
    • Lindner, B.1    Longtin, A.2    Bulsara, A.3
  • 28
    • 9744239998 scopus 로고    scopus 로고
    • Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model
    • L Paninski JW Pillow EP Simoncelli 2004 Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model Neural Comput 16 2533 2561
    • (2004) Neural Comput , vol.16 , pp. 2533-2561
    • Paninski, L.1    Pillow, J.W.2    Simoncelli, E.P.3
  • 29
    • 0141565240 scopus 로고    scopus 로고
    • Neocortical pyramidal cells respond as integrate-and-fire neurons to in vivo like input currents
    • A Rauch G La Camera H-R Luscher W Senn S Fusi 2003 Neocortical pyramidal cells respond as integrate-and-fire neurons to in vivo like input currents J Neurophys 90 1598 1612
    • (2003) J Neurophys , vol.90 , pp. 1598-1612
    • Rauch, A.1    La Camera, G.2    Luscher, H.-R.3    Senn, W.4    Fusi, S.5
  • 32
    • 42749098503 scopus 로고    scopus 로고
    • Effects of synaptic conductance on the voltage distribution and firing rate of spiking neurons
    • art-no 051918
    • Richardson MJE (2004) Effects of synaptic conductance on the voltage distribution and firing rate of spiking neurons. Phys Rev E 69:art-no 051918
    • (2004) Phys Rev e , vol.69
    • Richardson, M.J.E.1
  • 33
    • 17144405327 scopus 로고    scopus 로고
    • Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance
    • MJE Richardson W Gerstner 2005 Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance Neural Comput 17 923 947
    • (2005) Neural Comput , vol.17 , pp. 923-947
    • Richardson, M.J.E.1    Gerstner, W.2
  • 34
    • 33745711659 scopus 로고    scopus 로고
    • Statistics of subthreshold neuronal voltage fluctuations due to conductance-based synaptic shot noise
    • art-no 026106
    • Richardson MJE, Gerstner W (2006) Statistics of subthreshold neuronal voltage fluctuations due to conductance-based synaptic shot noise. Chaos 16:art-no 026106
    • (2006) Chaos , vol.16
    • Richardson, M.J.E.1    Gerstner, W.2
  • 35
    • 34548099438 scopus 로고    scopus 로고
    • Firing-rate response of linear and nonlinear integrate-and-fire neurons to modulated current-based and conductance-based synaptic drive
    • article-no 021919
    • Richardson MJE (2007) Firing-rate response of linear and nonlinear integrate-and-fire neurons to modulated current-based and conductance-based synaptic drive. Phys Rev E 76:article-no 021919
    • (2007) Phys Rev e , vol.76
    • Richardson, M.J.E.1
  • 38
    • 11844290435 scopus 로고
    • A theoretical analysis of neuronal variability
    • RB Stein 1965 A theoretical analysis of neuronal variability Biophys J 5 173 194
    • (1965) Biophys J , vol.5 , pp. 173-194
    • Stein, R.B.1
  • 39
    • 33751309853 scopus 로고    scopus 로고
    • Non-Gaussian membrane potential dynamics imply sparse, synchronous activity in auditory cortex
    • MR DeWeese AM Zador 2006 Non-Gaussian membrane potential dynamics imply sparse, synchronous activity in auditory cortex J Neurosci 26 12206 12218
    • (2006) J Neurosci , vol.26 , pp. 12206-12218
    • Deweese, M.R.1    Zador, A.M.2
  • 40
    • 42449158079 scopus 로고    scopus 로고
    • Method to calculate the moments of the membrane voltage in a model neuron driven by multiplicative filtered shot noise
    • article-no 041913
    • Wolff L, Lindner B (2008) Method to calculate the moments of the membrane voltage in a model neuron driven by multiplicative filtered shot noise. Phys Rev E 77:article-no 041913
    • (2008) Phys Rev e , vol.77
    • Wolff, L.1    Lindner, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.