메뉴 건너뛰기




Volumn 24, Issue 2, 2008, Pages 179-194

Parameter estimation for a leaky integrate-and-fire neuronal model from ISI data

Author keywords

Inverse Laplace transform; Ornstein Uhlenbeck process; Parameter inference

Indexed keywords

DISTRIBUTION FUNCTIONS; INVERSE PROBLEMS; LAPLACE TRANSFORMS; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; STATISTICS;

EID: 41249095433     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-007-0047-5     Document Type: Article
Times cited : (34)

References (43)
  • 4
    • 84968510937 scopus 로고
    • A class of methods for solving nonlinear simultaneous equations
    • Broyden, C. G. (1965). A class of methods for solving nonlinear simultaneous equations. Mathematical Computing, 19, 577-593.
    • (1965) Mathematical Computing , vol.19 , pp. 577-593
    • Broyden, C.G.1
  • 5
    • 0034243607 scopus 로고    scopus 로고
    • Calculation of interspike intervals for integrate-and-fire neurons with poisson distribution of synaptic inputs
    • Burkitt, A. N., & Clark, G. M. (2000). Calculation of interspike intervals for integrate-and-fire neurons with poisson distribution of synaptic inputs. Neural Computation, 12, 1789-1820.
    • (2000) Neural Computation , vol.12 , pp. 1789-1820
    • Burkitt, A.N.1    Clark, G.M.2
  • 6
    • 0035486770 scopus 로고    scopus 로고
    • Balanced neurons: Analysis of leaky integrate-and-fire neurons with reversal potentials
    • Burkitt, A. N. (2001). Balanced neurons: Analysis of leaky integrate-and-fire neurons with reversal potentials. Biological Cybernetics, 85, 247-255.
    • (2001) Biological Cybernetics , vol.85 , pp. 247-255
    • Burkitt, A.N.1
  • 7
    • 33745712258 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: I. Homogenous synaptic input
    • Burkitt, A. N. (2006a). A review of the integrate-and-fire neuron model: I. Homogenous synaptic input. Biological Cybernetics, 95, 1-19.
    • (2006) Biological Cybernetics , 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. Inhomogenous synaptic input and network properties
    • Burkitt, A. N. (2006b). A review of the integrate-and-fire neuron model: II. Inhomogenous synaptic input and network properties. Biological Cybernetics, 95, 97-112.
    • (2006) Biological Cybernetics , vol.95 , pp. 97-112
    • Burkitt, A.N.1
  • 9
    • 0040681538 scopus 로고
    • On the inverse of the first passage time probability problem
    • Capocelli, R. M., & Ricciardi, L. M. (1972). On the inverse of the first passage time probability problem. Journal of Applied Probability, 9, 270-287.
    • (1972) Journal of Applied Probability , vol.9 , pp. 270-287
    • Capocelli, R.M.1    Ricciardi, L.M.2
  • 11
    • 0039374302 scopus 로고    scopus 로고
    • An implementation of a fourier series method for the numerical inversion of the laplace transform
    • D'Amore, L., Laccetti, G., & Murli, A. (1999). An implementation of a fourier series method for the numerical inversion of the laplace transform. ACM Transactions on Mathematical Software, 25, 279-305.
    • (1999) ACM Transactions on Mathematical Software , vol.25 , pp. 279-305
    • D'Amore, L.1    Laccetti, G.2    Murli, A.3
  • 12
    • 0001199065 scopus 로고
    • The first passage problem for a continuous markov process
    • Darling, D., & Siegert, A. (1953). The first passage problem for a continuous markov process. Annals of Mathematical Statistics, 24, 624-639.
    • (1953) Annals of Mathematical Statistics , vol.24 , pp. 624-639
    • Darling, D.1    Siegert, A.2
  • 14
    • 41249090156 scopus 로고    scopus 로고
    • Parameter estimation from observations of first-passage times of the Ornstein-Uhlenbeck process and the feller process
    • Presented at the
    • Ditlevsen, S., & Ditlevsen, O. (2006). Parameter estimation from observations of first-passage times of the Ornstein-Uhlenbeck process and the feller process. Presented at the fifth computational stochastic mechanics conference.
    • (2006) Fifth Computational Stochastic Mechanics Conference
    • Ditlevsen, S.1    Ditlevsen, O.2
  • 15
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerves
    • Hodgkin, A. L., & Huxley, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerves. Journal of Physiology, 117, 500-544.
    • (1952) Journal of Physiology , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 16
    • 0029355301 scopus 로고
    • On the parameter estimation for diffusion models of single neuron's activities
    • Inoue, J., Sato, S., & Ricciardi, L. (1995). On the parameter estimation for diffusion models of single neuron's activities. Biological Cybernetics, 73, 209-221.
    • (1995) Biological Cybernetics , vol.73 , pp. 209-221
    • Inoue, J.1    Sato, S.2    Ricciardi, L.3
  • 17
    • 28644433470 scopus 로고    scopus 로고
    • Predicting spike times of a detailed conductance-based neuron model driven by stochastic spike arrival
    • Jolivet, R., & Gerstner, W. (2004). Predicting spike times of a detailed conductance-based neuron model driven by stochastic spike arrival. Journal of Physiology (Paris), 98, 442-451.
    • (2004) Journal of Physiology (Paris) , vol.98 , pp. 442-451
    • Jolivet, R.1    Gerstner, W.2
  • 18
    • 3142666109 scopus 로고    scopus 로고
    • Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy
    • Jolivet, R., Lewis, T. J., & 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, 959-976.
    • (2004) Journal of Neurophysiology , vol.92 , pp. 959-976
    • Jolivet, R.1    Lewis, T.J.2    Gerstner, W.3
  • 20
    • 41249092819 scopus 로고    scopus 로고
    • Application of weeks method for the numerical inversion of the laplace transform of the matrix exponential
    • Kano, P. O., Moysey, B., & Moloney, J. V. (2005). Application of weeks method for the numerical inversion of the laplace transform of the matrix exponential. Computational Mathematical Sciences, 3, 335-372.
    • (2005) Computational Mathematical Sciences , vol.3 , pp. 335-372
    • Kano, P.O.1    Moysey, B.2    Moloney, J.V.3
  • 22
    • 0034972776 scopus 로고    scopus 로고
    • Predicting every spike: A model for the responses of visual neurons
    • Keat, J., Reinagel, P., Reid, R. K., & Meister, M. (2001). Predicting every spike: A model for the responses of visual neurons. Neuron, 30, 803-817.
    • (2001) Neuron , vol.30 , pp. 803-817
    • Keat, J.1    Reinagel, P.2    Reid, R.K.3    Meister, M.4
  • 23
    • 0029394120 scopus 로고
    • On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity
    • Lánský, P., Sacerdote, L., & Tomassetti, F. (1995). On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity. Biological Cybernetics, 73, 457-465.
    • (1995) Biological Cybernetics , vol.73 , pp. 457-465
    • Lánský, P.1    Sacerdote, L.2    Tomassetti, F.3
  • 24
    • 33747272940 scopus 로고    scopus 로고
    • The parameters of the stochastic leaky integrate-and-fire neuronal model
    • Lánský, P., Sanda, P., & He, J. (2006). The parameters of the stochastic leaky integrate-and-fire neuronal model. Journal of Computational Neuroscience, 21, 211-223.
    • (2006) Journal of Computational Neuroscience , vol.21 , pp. 211-223
    • Lánský, P.1    Sanda, P.2    He, J.3
  • 28
    • 0019405994 scopus 로고
    • Voltage oscillations in the barnacle giant muscle fiber
    • Morris, C., & Lecar, H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical Journal, 35, 193-213.
    • (1981) Biophysical Journal , vol.35 , pp. 193-213
    • Morris, C.1    Lecar, H.2
  • 29
    • 9744239998 scopus 로고    scopus 로고
    • Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model
    • Paninski, L., Pillow, J. W., & Simoncelli, E. P. (2004). Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model. Neural Computation, 16, 2533-2561.
    • (2004) Neural Computation , vol.16 , pp. 2533-2561
    • Paninski, L.1    Pillow, J.W.2    Simoncelli, E.P.3
  • 30
    • 28044458279 scopus 로고    scopus 로고
    • Prediction and decoding of retinal ganglion cell responses with a probabilistic spiking model
    • Pillow, J. W., Paninski, L., Uzzel, V. J., Simoncelli, E. P., & Chichilnisky, E. J. (2005). Prediction and decoding of retinal ganglion cell responses with a probabilistic spiking model. The Journal of Neuroscience, 25(47), 11003-11013.
    • (2005) The Journal of Neuroscience , vol.25 , Issue.47 , pp. 11003-11013
    • Pillow, J.W.1    Paninski, L.2    Uzzel, V.J.3    Simoncelli, E.P.4    Chichilnisky, E.J.5
  • 31
    • 0039176271 scopus 로고    scopus 로고
    • Stochastic resonance in a model neuron with reset
    • Plesser, H. E., & Tanaka, S. (1997). Stochastic resonance in a model neuron with reset. Physics Letters A, 225, 228-234.
    • (1997) Physics Letters A , vol.225 , pp. 228-234
    • Plesser, H.E.1    Tanaka, S.2
  • 33
    • 0018606356 scopus 로고
    • The Ornstein-Uhlenbeck process as a model for neuronal activity
    • Ricciardi, L., & Sacerdote, L. (1977). The Ornstein-Uhlenbeck process as a model for neuronal activity. Biological Cybernetics, 35, 1-9.
    • (1977) Biological Cybernetics , vol.35 , pp. 1-9
    • Ricciardi, L.1    Sacerdote, L.2
  • 34
    • 0000711915 scopus 로고
    • First passage time density and moments of the Ornstein-Uhlenbeck process
    • Ricciardi, L., & Sato, S. (1988). First passage time density and moments of the Ornstein-Uhlenbeck process. Journal of Applied Probability, 25, 43-57.
    • (1988) Journal of Applied Probability , vol.25 , pp. 43-57
    • Ricciardi, L.1    Sato, S.2
  • 35
    • 0027430647 scopus 로고
    • The dynamic clamp: Artificial conductances in biological neurons
    • Sharp, A. A., O'Neil, M. B., Abbott, L. F., & Marder, E. (1993a). The dynamic clamp: Artificial conductances in biological neurons. Trends in Neuroscience, 16, 389-394.
    • (1993) Trends in Neuroscience , vol.16 , pp. 389-394
    • Sharp, A.A.1    O'Neil, M.B.2    Abbott, L.F.3    Marder, E.4
  • 36
  • 37
    • 0033094984 scopus 로고    scopus 로고
    • Time-scale matching in the response of a leaky integrate-and-fire neuron model to periodic stimulus with additive noise
    • Shimokawa, T., Pakdaman, K., & Sato, S. (1999). Time-scale matching in the response of a leaky integrate-and-fire neuron model to periodic stimulus with additive noise. Physical Review E, 59, 3427-3443.
    • (1999) Physical Review E , vol.59 , pp. 3427-3443
    • Shimokawa, T.1    Pakdaman, K.2    Sato, S.3
  • 38
    • 36149019489 scopus 로고
    • On the first passage time probablity functioin
    • Siegert, A. J. F. (1951). On the first passage time probablity functioin. Physical Review, 81, 617-623.
    • (1951) Physical Review , vol.81 , pp. 617-623
    • Siegert, A.J.F.1
  • 39
    • 11844290435 scopus 로고
    • A theoretical analysis of neuronal variability
    • Stein, R. B. (1965). A theoretical analysis of neuronal variability. Biophysical Journal, 5, 173-194.
    • (1965) Biophysical Journal , vol.5 , pp. 173-194
    • Stein, R.B.1
  • 43
    • 0001665007 scopus 로고
    • Numerical inversion of the laplace transform using laguerre functions
    • Weeks, W. T. (1966). Numerical inversion of the laplace transform using laguerre functions. Journal of Association of Computational Mathematics, 13, 419-429.
    • (1966) Journal of Association of Computational Mathematics , vol.13 , pp. 419-429
    • Weeks, W.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.