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Volumn 21, Issue 2, 2009, Pages 360-396

Spike train statistics and dynamics with synaptic input from any renewal process: A population density approach

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL MODEL; EXCITATORY POSTSYNAPTIC POTENTIAL; LETTER; NERVE CELL; NONLINEAR SYSTEM; PHYSIOLOGY; PROBABILITY; SYNAPSE; TIME;

EID: 66249117496     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2008.03-08-743     Document Type: Letter
Times cited : (33)

References (61)
  • 1
    • 22244458151 scopus 로고
    • Asynchronous states in networks of pulse-coupled oscillators
    • Abbott, L. F., & van Vreeswijk, C. (1993). Asynchronous states in networks of pulse-coupled oscillators. Physical Review E, 48, 1483-1490.
    • (1993) Physical Review E , vol.48 , pp. 1483-1490
    • Abbott, L.F.1    van Vreeswijk, C.2
  • 2
    • 0030947941 scopus 로고    scopus 로고
    • Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex
    • Amit, D., & Brunel, N. (1997). Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cerebral Cortex, 7, 237-252.
    • (1997) Cerebral Cortex , vol.7 , pp. 237-252
    • Amit, D.1    Brunel, N.2
  • 3
    • 33845394008 scopus 로고    scopus 로고
    • Population density methods for stochastic neurons with a 2-D state space: Application to neural networks with realistic synaptic kinetics
    • Apfaltrer, F., Ly, C., & Tranchina, D. (2006). Population density methods for stochastic neurons with a 2-D state space: Application to neural networks with realistic synaptic kinetics. Network: Computation in Neural Systems, 17, 373-418.
    • (2006) Network: Computation in Neural Systems , vol.17 , pp. 373-418
    • Apfaltrer, F.1    Ly, C.2    Tranchina, D.3
  • 4
    • 0034934968 scopus 로고    scopus 로고
    • Network activity evoked by neocortical stimulation in area 36 of the guinea pig perirhinal cortex
    • Biella, G., Uva, L., & Curtis, M. D. (2001). Network activity evoked by neocortical stimulation in area 36 of the guinea pig perirhinal cortex. Journal of Neurophysiology, 86, 164-172.
    • (2001) Journal of Neurophysiology , vol.86 , pp. 164-172
    • Biella, G.1    Uva, L.2    Curtis, M.D.3
  • 5
    • 35348824287 scopus 로고    scopus 로고
    • Binomial parameters differ across neocortical layers and with different classes of connections in adult rat and cat neocortex
    • Bremaud, A., West, D., & Thomson, A. (2007). Binomial parameters differ across neocortical layers and with different classes of connections in adult rat and cat neocortex. Proceedings of the National Academy of Sciences, 104, 14134-14139.
    • (2007) Proceedings of the National Academy of Sciences , vol.104 , pp. 14134-14139
    • Bremaud, A.1    West, D.2    Thomson, A.3
  • 6
    • 1542351229 scopus 로고    scopus 로고
    • On the phase reduction and response dynamics of neural oscillator populations
    • Brown, E., Moehlis, J., & Holmes, P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural Computation, 16, 673-715.
    • (2004) Neural Computation , vol.16 , pp. 673-715
    • Brown, E.1    Moehlis, J.2    Holmes, P.3
  • 7
    • 0034006515 scopus 로고    scopus 로고
    • Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons
    • Brunel, N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. Journal of Computational Neuroscience, 8, 183-208.
    • (2000) Journal of Computational Neuroscience , vol.8 , pp. 183-208
    • Brunel, N.1
  • 8
    • 0033210816 scopus 로고    scopus 로고
    • Fast global oscillations in networks of integrateand-fire neurons with low firing rates
    • Brunel, N., & Hakim, V. (1999). Fast global oscillations in networks of integrateand-fire neurons with low firing rates. Neural Computation, 11, 1621-1671.
    • (1999) Neural Computation , vol.11 , pp. 1621-1671
    • Brunel, N.1    Hakim, V.2
  • 9
    • 6644226801 scopus 로고    scopus 로고
    • Effects of synaptic noise and filtering on the frequency response of spiking neurons
    • Brunel, N., Chance, F., Fourcaud, N., & Abbott, L. (2001). Effects of synaptic noise and filtering on the frequency response of spiking neurons. Physical Review Letter, 86, 2186-2189.
    • (2001) Physical Review Letter , vol.86 , pp. 2186-2189
    • Brunel, N.1    Chance, F.2    Fourcaud, N.3    Abbott, L.4
  • 10
    • 0033940003 scopus 로고    scopus 로고
    • Interspike interval variability for balanced networks with reversal potentials for large numbers of inputs
    • Burkitt, A. (2000). Interspike interval variability for balanced networks with reversal potentials for large numbers of inputs. Neurocomput., 32, 313-321.
    • (2000) Neurocomput. , vol.32 , pp. 313-321
    • Burkitt, A.1
  • 11
    • 33745712258 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
    • Burkitt, A. N. (2006a). A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biological Cybernetics, 95, 1-19.
    • (2006) Biological Cybernetics , vol.95 , pp. 1-19
    • Burkitt, A.N.1
  • 12
    • 33745730999 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties
    • Burkitt, A. N. (2006b). A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties. Biological Cybernetics, 95, 27-12.
    • (2006) Biological Cybernetics , vol.95 , pp. 27-12
    • Burkitt, A.N.1
  • 14
    • 33144489051 scopus 로고    scopus 로고
    • Relation between single neuron and population spiking statistics and effects on network activity
    • Câteau, H., & Reyes, A. (2006). Relation between single neuron and population spiking statistics and effects on network activity. Physical Review Letters, 96, 058101.
    • (2006) Physical Review Letters , vol.96 , pp. 058101
    • Câteau, H.1    Reyes, A.2
  • 15
    • 38349142170 scopus 로고    scopus 로고
    • Efficient evaluation of neuron populations receiving colored-noise current based on a refractory density method
    • Chizhov, A., & Graham, L. (2008). Efficient evaluation of neuron populations receiving colored-noise current based on a refractory density method. Physical Review E, 77, 11910.
    • (2008) Physical Review E , vol.77 , pp. 11910
    • Chizhov, A.1    Graham, L.2
  • 18
    • 2542433189 scopus 로고    scopus 로고
    • Correlations modulate the nonmonotonic response of a neuron with short-term plasticity
    • de la Rocha, J., Moreno-Bote, R., & Parga, N. (2004). Correlations modulate the nonmonotonic response of a neuron with short-term plasticity. Neurocomputing, 58-60, 313-319.
    • (2004) Neurocomputing , vol.58-60 , pp. 313-319
    • de la Rocha, J.1    Moreno-Bote, R.2    Parga, N.3
  • 20
    • 84995332295 scopus 로고    scopus 로고
    • Stochastic synchronization in finite size spiking networks
    • Doiron, B., Rinzel, J., & Reyes, A. (2006). Stochastic synchronization in finite size spiking networks. Physical Review E, 74, 030903.
    • (2006) Physical Review E , vol.74 , pp. 030903
    • Doiron, B.1    Rinzel, J.2    Reyes, A.3
  • 21
    • 0036716145 scopus 로고    scopus 로고
    • Dynamics of the firing probability of noisy integrate-and-fire neuron
    • Fourcaud, N., & Brunel, N. (2002). Dynamics of the firing probability of noisy integrate-and-fire neuron. Neural Computation, 14, 2057-2110.
    • (2002) Neural Computation , vol.14 , pp. 2057-2110
    • Fourcaud, N.1    Brunel, N.2
  • 22
    • 0002338948 scopus 로고
    • Random walk models for spike activity of a single neuron
    • Gerstein, G., & Mandelbrot, B. (1964). Random walk models for spike activity of a single neuron. Biophysical Journal, 4, 41-68.
    • (1964) Biophysical Journal , vol.4 , pp. 41-68
    • Gerstein, G.1    Mandelbrot, B.2
  • 23
    • 0015332584 scopus 로고
    • Mutual temporal relations among neuronal spike trains
    • Gerstein, G., & Perkel, G. (1972). Mutual temporal relations among neuronal spike trains. Journal of Biophysics, 12, 453-473.
    • (1972) Journal of Biophysics , vol.12 , pp. 453-473
    • Gerstein, G.1    Perkel, G.2
  • 24
    • 0000788367 scopus 로고
    • Time structure of the activity in neural network-models
    • Gerstner,W. (1995). Time structure of the activity in neural network-models. Physical Review E, 51, 738-758.
    • (1995) Physical Review E , vol.51 , pp. 738-758
    • Gerstner, W.1
  • 25
    • 0033630628 scopus 로고    scopus 로고
    • Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking
    • Gerstner, W. (1999). Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking. Neural Computation, 12, 43-90.
    • (1999) Neural Computation , vol.12 , pp. 43-90
    • Gerstner, W.1
  • 27
    • 0014974861 scopus 로고
    • Pulse frequency modulation in neural systems: A random model
    • Gestri, G. (1971). Pulse frequency modulation in neural systems: A random model. Biophysical Journal, 11(1), 98-109.
    • (1971) Biophysical Journal , vol.11 , Issue.1 , pp. 98-109
    • Gestri, G.1
  • 28
    • 33747315080 scopus 로고    scopus 로고
    • A multivariate population density model of the dLGN/PGN relay
    • Huertas, M. A., & Smith, G. D. (2006). A multivariate population density model of the dLGN/PGN relay. Journal of Computational Neuroscience, 21, 171-189.
    • (2006) Journal of Computational Neuroscience , vol.21 , pp. 171-189
    • Huertas, M.A.1    Smith, G.D.2
  • 29
    • 0015357448 scopus 로고
    • Dynamics of encoding in a population of neurons
    • Knight, B. W. (1972). Dynamics of encoding in a population of neurons. Journal of General Physiology, 59, 734-766.
    • (1972) Journal of General Physiology , vol.59 , pp. 734-766
    • Knight, B.W.1
  • 30
    • 0034153464 scopus 로고    scopus 로고
    • Dynamics of encoding in neuron populations: Some general mathematical features
    • Knight, B. W. (2000). Dynamics of encoding in neuron populations: Some general mathematical features. Neural Computation, 12, 473-518.
    • (2000) Neural Computation , vol.12 , pp. 473-518
    • Knight, B.W.1
  • 32
    • 0034180383 scopus 로고    scopus 로고
    • The approach of a neuron population firing rate to a new equilibrium: An exact theoretical result
    • Knight, B. W., Omurtag, A., & Sirovich, L. (2000). The approach of a neuron population firing rate to a new equilibrium: An exact theoretical result. Neural Computation, 12, 1045-1055.
    • (2000) Neural Computation , vol.12 , pp. 1045-1055
    • Knight, B.W.1    Omurtag, A.2    Sirovich, L.3
  • 33
    • 44949272252 scopus 로고
    • Collective synchronization of pulse-coupled oscillators and excitable units
    • Kuramoto, Y. (1991). Collective synchronization of pulse-coupled oscillators and excitable units. Physica D, 50, 15-30.
    • (1991) Physica D , vol.50 , pp. 15-30
    • Kuramoto, Y.1
  • 34
    • 33644546378 scopus 로고    scopus 로고
    • Superposition of many spike trains is generally not a Poisson process
    • Lindner, B. (2006). Superposition of many spike trains is generally not a Poisson process. Physical Review E, 73, 022901.
    • (2006) Physical Review E , vol.73 , pp. 022901
    • Lindner, B.1
  • 35
    • 34548013119 scopus 로고    scopus 로고
    • Critical analysis of dimension reduction by a moment closure method in a population density approach to neural network modeling
    • Ly, C., & Tranchina, D. (2007). Critical analysis of dimension reduction by a moment closure method in a population density approach to neural network modeling. Neural Computation, 19, 2032-2092.
    • (2007) Neural Computation , vol.19 , pp. 2032-2092
    • Ly, C.1    Tranchina, D.2
  • 36
    • 0026044988 scopus 로고
    • Synaptic transmission between individual pyramidal neurons of the rat visual cortex in vitro
    • Mason, A., Nicoll, A., & Stratford, K. (1991). Synaptic transmission between individual pyramidal neurons of the rat visual cortex in vitro. Journal of Neuroscience, 11, 72-84.
    • (1991) Journal of Neuroscience , vol.11 , pp. 72-84
    • Mason, A.1    Nicoll, A.2    Stratford, K.3
  • 37
    • 85036133906 scopus 로고    scopus 로고
    • Population dynamics of interacting spiking neurons
    • Mattia, M., & Giudice, P. D. (2002). Population dynamics of interacting spiking neurons. Physical Review E, 66, 1-19.
    • (2002) Physical Review E , vol.66 , pp. 1-19
    • Mattia, M.1    Giudice, P.D.2
  • 39
    • 1442313269 scopus 로고    scopus 로고
    • Role of synaptic filtering on the firing response of simple model neurons
    • Moreno-Bote, R., & Parga, N. (2004). Role of synaptic filtering on the firing response of simple model neurons. Physical Review Letters, 92, 028102.
    • (2004) Physical Review Letters , vol.92 , pp. 028102
    • Moreno-Bote, R.1    Parga, N.2
  • 40
    • 18144403194 scopus 로고    scopus 로고
    • Membrane potential and response properties of populations of cortical neurons in the high conductance state
    • Moreno-Bote, R., & Parga, N. (2005). Membrane potential and response properties of populations of cortical neurons in the high conductance state. Physical Review Letters, 94, 088103.
    • (2005) Physical Review Letters , vol.94 , pp. 088103
    • Moreno-Bote, R.1    Parga, N.2
  • 41
    • 32644485094 scopus 로고    scopus 로고
    • Auto- and crosscorrelograms for the spike response of leaky integrate-and-fire neurons with slow synapses
    • Moreno-Bote, R., & Parga, N. (2006). Auto- and crosscorrelograms for the spike response of leaky integrate-and-fire neurons with slow synapses. Physical Review Letters, 96, 028101.
    • (2006) Physical Review Letters , vol.96 , pp. 028101
    • Moreno-Bote, R.1    Parga, N.2
  • 42
    • 36248947984 scopus 로고    scopus 로고
    • Spike-frequency adapting neural ensembles: Beyond mean adaptation and renewal theories
    • Muller, E., Buesing, L., Schemmel, J., & Meier, K. (2007). Spike-frequency adapting neural ensembles: Beyond mean adaptation and renewal theories. Neural Computation, 19, 2958-3010.
    • (2007) Neural Computation , vol.19 , pp. 2958-3010
    • Muller, E.1    Buesing, L.2    Schemmel, J.3    Meier, K.4
  • 43
    • 0034076273 scopus 로고    scopus 로고
    • A population density approach that facilitates large-scale modeling of neural networks: Analysis and an application to orientation tuning
    • Nykamp, D. Q., & Tranchina, D. (2000). A population density approach that facilitates large-scale modeling of neural networks: Analysis and an application to orientation tuning. Journal of Computational Neuroscience, 8, 19-50.
    • (2000) Journal of Computational Neuroscience , vol.8 , pp. 19-50
    • Nykamp, D.Q.1    Tranchina, D.2
  • 45
    • 0014109171 scopus 로고
    • Neuronal spike trains and stochastic point processes. I: The single spike train
    • Perkel, D., Gerstein, G., & Moore, G. (1967a). Neuronal spike trains and stochastic point processes. I: The single spike train. Journal of Biophysics, 7, 391-418.
    • (1967) Journal of Biophysics , vol.7 , pp. 391-418
    • Perkel, D.1    Gerstein, G.2    Moore, G.3
  • 46
    • 0014104894 scopus 로고
    • Neuronal spike trains and stochastic point processes. II: Simultaneous spike trains
    • Perkel, D., Gerstein, G., & Moore, G. (1967b). Neuronal spike trains and stochastic point processes. II: Simultaneous spike trains. Journal of Biophysics, 7, 419-440.
    • (1967) Journal of Biophysics , vol.7 , pp. 419-440
    • Perkel, D.1    Gerstein, G.2    Moore, G.3
  • 47
    • 67650290516 scopus 로고
    • The stochastic auditory code
    • In F. C. Hoppensteadt (Ed.), Providence, RI: American Mathematical Society
    • Peskin, C. (1981). The stochastic auditory code. In F. C. Hoppensteadt (Ed.), Mathematical aspects of physiology (Vol. 19, pp. 59-67). Providence, RI: American Mathematical Society.
    • (1981) Mathematical aspects of physiology , vol.19 , pp. 59-67
    • Peskin, C.1
  • 48
    • 0014006126 scopus 로고
    • Anteroventral cochlear nucleus: Wave forms of extracellularly recorded spike potentials
    • Pfeiffer, R. R. (1966). Anteroventral cochlear nucleus: Wave forms of extracellularly recorded spike potentials. Science, 154, 167-168.
    • (1966) Science , vol.154 , pp. 167-168
    • Pfeiffer, R.R.1
  • 49
    • 0034663013 scopus 로고    scopus 로고
    • Impact of correlated synaptic input on output firing rate and variability in simple neuronal models
    • Salinas, E., & Sejnowski, T. (2000). Impact of correlated synaptic input on output firing rate and variability in simple neuronal models. Journal of Neuroscience, 20, 6193-6209.
    • (2000) Journal of Neuroscience , vol.20 , pp. 6193-6209
    • Salinas, E.1    Sejnowski, T.2
  • 50
    • 0032525177 scopus 로고    scopus 로고
    • The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding
    • Shadlen, M. N., & Newsome, W. T. (1998). The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding. Journal of Neuroscience, 18, 3870-3896.
    • (1998) Journal of Neuroscience , vol.18 , pp. 3870-3896
    • Shadlen, M.N.1    Newsome, W.T.2
  • 51
    • 0022234025 scopus 로고
    • Excitatory/inhibitory response types in the cochlear nucleus: Relationships to discharge patterns and responses to electrical stimulation of the auditory nerve
    • Shofner, W., & Young, E. (1985). Excitatory/inhibitory response types in the cochlear nucleus: Relationships to discharge patterns and responses to electrical stimulation of the auditory nerve. Journal of Neurophysiology, 54, 917-939.
    • (1985) Journal of Neurophysiology , vol.54 , pp. 917-939
    • Shofner, W.1    Young, E.2
  • 52
    • 0346847618 scopus 로고    scopus 로고
    • Dynamics of neuronal populations: Eigenfunction theory; some solvable cases
    • Sirovich, L. (2003). Dynamics of neuronal populations: Eigenfunction theory; some solvable cases. Network: Computation in Neural Systems, 14, 249-272.
    • (2003) Network: Computation in Neural Systems , vol.14 , pp. 249-272
    • Sirovich, L.1
  • 53
    • 43449083226 scopus 로고    scopus 로고
    • Populations of tightly coupled neurons: The RGC/LGN system
    • Sirovich, L. (2008). Populations of tightly coupled neurons: The RGC/LGN system. Neural Computation, 20, 1179-1210.
    • (2008) Neural Computation , vol.20 , pp. 1179-1210
    • Sirovich, L.1
  • 55
    • 0034352129 scopus 로고    scopus 로고
    • Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley voltage-gated channels
    • Tiesinga, P., José, J., & Sejnowski, T. (2000). Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley voltage-gated channels. Physical Review, E 62, 8413-8419.
    • (2000) Physical Review, E , vol.62 , pp. 8413-8419
    • Tiesinga, P.1    José, J.2    Sejnowski, T.3
  • 56
    • 0028045337 scopus 로고
    • Steady discharges of macaque retinal ganglion cells
    • Troy, J., & Lee, B. (1994). Steady discharges of macaque retinal ganglion cells. Visual Neuroscience, 11, 111-118.
    • (1994) Visual Neuroscience , vol.11 , pp. 111-118
    • Troy, J.1    Lee, B.2
  • 57
    • 0027030930 scopus 로고
    • Steady discharges of X and Y retinal ganglion cells of cat photopic illuminance
    • Troy, J., & Robson, J. (1992). Steady discharges of X and Y retinal ganglion cells of cat photopic illuminance. Visual Neuroscience, 9, 535-553.
    • (1992) Visual Neuroscience , vol.9 , pp. 535-553
    • Troy, J.1    Robson, J.2
  • 59
    • 0021046151 scopus 로고
    • A theoretical basis for large coefficient of variation and bimodality in neuronal interspike interval distributions
    • Wilbur, W., & Rinzel, J. (1983). A theoretical basis for large coefficient of variation and bimodality in neuronal interspike interval distributions. Journal of Theoretical Biology, 105, 345-368.
    • (1983) Journal of Theoretical Biology , vol.105 , pp. 345-368
    • Wilbur, W.1    Rinzel, J.2
  • 60
    • 0025277844 scopus 로고
    • Responses of single units in the anteroventral cochlear nucleus of the guinea pig
    • Winter, I., & Palmer, A. (1990). Responses of single units in the anteroventral cochlear nucleus of the guinea pig. Hearing Research, 44, 161-178.
    • (1990) Hearing Research , vol.44 , pp. 161-178
    • Winter, I.1    Palmer, A.2
  • 61
    • 0023705515 scopus 로고
    • Regularity and latency of units in ventral cochlear nucleus: Implications for unit classification and generation of response properties
    • Young, E., Robert, J., & Shofner, W. (1988). Regularity and latency of units in ventral cochlear nucleus: Implications for unit classification and generation of response properties. Journal Neurophysiology, 60, 1-29.
    • (1988) Journal Neurophysiology , vol.60 , pp. 1-29
    • Young, E.1    Robert, J.2    Shofner, W.3


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