메뉴 건너뛰기




Volumn 52, Issue 4, 2006, Pages 439-457

A stochastic model and a functional central limit theorem for information processing in large systems of neurons

Author keywords

Diffusion processes; Functional central limit theorem; Membrane potential; Parameter estimation; Point processes; Pooled spike train; Response; Signal; Spike train; Stochastic neuron models

Indexed keywords

ACTION POTENTIAL; ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL MEMBRANE POTENTIAL; HUMAN; NERVE CELL; PHYSIOLOGY; POISSON DISTRIBUTION; STATISTICS; SYNAPTIC TRANSMISSION;

EID: 33645066375     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-005-0361-3     Document Type: Article
Times cited : (8)

References (26)
  • 3
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • C-I-R 85
    • [C-I-R 85] Cox, J., Ingersoll, J., Ross, S.: A theory of the term structure of interest rates. Econometrica 53, 385-407 (1985)
    • (1985) Econometrica , vol.53 , pp. 385-407
    • Cox, J.1    Ingersoll, J.2    Ross, S.3
  • 5
    • 37649030460 scopus 로고    scopus 로고
    • Estimation of the input parameters in the Ornstein-Uhlenbeck neuronal model
    • D-L 05
    • [D-L 05] Ditlevsen, S., Lánský, P.: Estimation of the input parameters in the Ornstein-Uhlenbeck neuronal model. Physical review E 71, 011907 (2005)
    • (2005) Physical Review E , vol.71 , pp. 011907
    • Ditlevsen, S.1    Lánský, P.2
  • 6
    • 0023939939 scopus 로고
    • Diffusion approximation and first-passage-time problem for a model neuron
    • G-E-N-R 88
    • [G-E-N-R 88] Giorno, V., Lánský, P., Nobile, A., Ricciardi, L.: Diffusion approximation and first-passage-time problem for a model neuron. Biol. Cybern. 58, 387-404 (1988)
    • (1988) Biol. Cybern. , vol.58 , pp. 387-404
    • Giorno, V.1    Lánský, P.2    Nobile, A.3    Ricciardi, L.4
  • 8
    • 84968469662 scopus 로고
    • A limit theorem for measurable random processes and its applications
    • G 76
    • [G 76] Grinblat, L.: A limit theorem for measurable random processes and its applications. Proc. Am. Math. Soc. 61, 371-376 (1976)
    • (1976) Proc. Am. Math. Soc. , vol.61 , pp. 371-376
    • Grinblat, L.1
  • 14
    • 0023130393 scopus 로고
    • Diffusion approximation of the neuronal model with with synaptic reversal potentials
    • L-L 87
    • [L-L 87] Lánský, P., Lánská, V.: Diffusion approximation of the neuronal model with with synaptic reversal potentials. Biol. Cybern. 56, 19-26 (1987)
    • (1987) Biol. Cybern. , vol.56 , pp. 19-26
    • Lánský, P.1    Lánská, V.2
  • 15
    • 0035796609 scopus 로고    scopus 로고
    • The Ornstein-Uhlenbeck neuronal model with signal-dependent noise
    • L-S 01
    • [L-S 01] Lánský, P., Sacerdote, L.: The Ornstein-Uhlenbeck neuronal model with signal-dependent noise. Physics Letters A 285, 132-140 (2001)
    • (2001) Physics Letters A , vol.285 , pp. 132-140
    • Lánský, P.1    Sacerdote, L.2
  • 16
    • 0344629325 scopus 로고    scopus 로고
    • The stochastic diffusion models of nerve membrane depolarization and interspike interval generation
    • L-S 99
    • [L-S 99] Lánský, P., Sato, S.: The stochastic diffusion models of nerve membrane depolarization and interspike interval generation. J. Peripheral Nervous System 4, 27-42 (1999)
    • (1999) J. Peripheral Nervous System , vol.4 , pp. 27-42
    • Lánský, P.1    Sato, S.2
  • 17
    • 0029394120 scopus 로고
    • On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity
    • L-S-T 95
    • [L-S-T 95] Lánský, P., Sacerdote, L., Tomassetti, F.: On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity. Biol. Cybern. 73, 457-465 (1995)
    • (1995) Biol. Cybern. , vol.73 , pp. 457-465
    • Lánský, P.1    Sacerdote, L.2    Tomassetti, F.3
  • 20
    • 0033714870 scopus 로고    scopus 로고
    • Reliability of neuronal reponses
    • M 00
    • [M 00] Movshon, V.: Reliability of neuronal reponses. Neuron 27, 412-414 (2000)
    • (2000) Neuron , vol.27 , pp. 412-414
    • Movshon, V.1
  • 21
    • 0032392166 scopus 로고    scopus 로고
    • Estimation for continuous branching processes
    • O 98
    • [O 98] Overbeck, L.: Estimation for continuous branching processes. Scand. J. Statist. 25, 111-126 (1998)
    • (1998) Scand. J. Statist. , vol.25 , pp. 111-126
    • Overbeck, L.1
  • 22
    • 0031508862 scopus 로고    scopus 로고
    • Estimation in the Cox-Ingersoll-Ross model
    • O-R 97
    • [O-R 97] Overbeck, L., Rydén, T.: Estimation in the Cox-Ingersoll-Ross model. Econometric Theory 13, 430-461 (1997)
    • (1997) Econometric Theory , vol.13 , pp. 430-461
    • Overbeck, L.1    Rydén, T.2
  • 23
    • 0032525177 scopus 로고    scopus 로고
    • The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding
    • S-N 98
    • [S-N 98] Shadlen, M., Newsome, W.: The variable discharge of cortical neurons: implications for connectivity, computation, and information coding. J. Neuroscience 18, 3870-3896 (1998)
    • (1998) J. Neuroscience , vol.18 , pp. 3870-3896
    • Shadlen, M.1    Newsome, W.2
  • 24
    • 0033561846 scopus 로고    scopus 로고
    • The Ornstein-Uhlenbeck process does not reproduce spiking statistics of neurons in prefrontal cortex
    • S-S-F 99
    • [S-S-F 99] Shinomoto, S., Sakai, Y., Funahashi, S.: The Ornstein-Uhlenbeck process does not reproduce spiking statistics of neurons in prefrontal cortex. Neural Comput. 11, 935-951 (1999)
    • (1999) Neural Comput. , vol.11 , pp. 935-951
    • Shinomoto, S.1    Sakai, Y.2    Funahashi, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.