State space method for predicting the spike times of a neuron

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 1, 2007, Pages

  Kobayashi, Ryota ^a   Shinomoto, Shigeru ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BIOCOMMUNICATIONS; BIOELECTRIC POTENTIALS; MATHEMATICAL MODELS; PROBABILITY; STATE SPACE METHODS;

INPUT CURRENT; NEURON; VOLTAGE RESPONSE;

BRAIN;

EID: 33846650165     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.011925     Document Type: Article

References (26)

1. A. L. Hodgkin and A. F. Huxley, J. Physiol. (London) JPHYA7 0022-3751 117, 500 (1952).
2. M. L. Hines and N. T. Carnevale, Neural Comput. NEUCEB 0899-7667 10.1162/neco.1997.9.6.1179 9, 1179 (1997).
3. J. M. Bower and D. Beeman, The Book of GENESIS: Exploring Realistic Neural Models with the GEneral NEural SImulation System (Springer-Verlag, New York, 1995).
4. Y. Tsubo, T. Kaneko, and S. Shinomoto, Neural Networks NNETEB 0893-6080 10.1016/j.neunet.2003.11.005 17, 165 (2004).
5. Q. J. M. Huys, M. B. Ahrens, and L. Paninski, J. Neurophysiol. JONEA4 0022-3077 96, 872 (2006).
6. P. Achard and E. De Schutter, PLoS Comput. Biol. 2, e94 (2006).
7. A. A. Prinz, C. P. Billimoria, and E. Marder, J. Neurophysiol. JONEA4 0022-3077 10.1152/jn.00641.2003 90, 3998 (2003).
8. R. FitzHugh, Biophys. J. BIOJAU 0006-3495 1, 445 (1961).
9. J. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE PIREAE 0096-8390 50, 2061 (1962).
10. L. Lapicque, J. Physiol. Pathol. Gen. JPPGAR 0368-3834 9, 620 (1907).
11. W. Kistler, W. Gerstner, and J. L. van Hemmen, Neural Comput. NEUCEB 0899-7667 9, 1015 (1997).
12. W. Gerstner and W. Kistler, Spiking Neuron Models (Cambridge Univ. Press, Cambridge, England, 2002).
13. R. Jolivet, T. J. Lewis, and W. Gerstner, J. Neurophysiol. JONEA4 0022-3077 10.1152/jn.00190.2004 92, 959 (2004).
14. R. Jolivet, A. Rauch, H. R. Lüscher, and W. Gerstner, in Advances in Neural Information Processing Systems 18, edited by, Y. Weiss, B. Schölkopf, and, J. Platt, (MIT Press, Cambridge, MA, 2006), pp. 595-602.
15. R. Jolivet, A. Rauch, H. R. Lüscher, and W. Gerstner, J. Comput. Neurosci. JCNEFR 0923-5313 21, 35 (2006).
16. D. T. Westwick and R. E. Kearney, Identification of Nonlinear Physiological Systems (IEEE Press Series in Biomedical Engineering) (Wiley-IEEE Press, Piscataway, 2003).
17. A. Erisir, D. Lau, B. Rudy, and C. S. Leonard, J. Neurophysiol. JONEA4 0022-3077 82, 2476 (1999).
18. E. M. Izhikevich, IEEE Trans. Neural Netw. ITNNEP 1045-9227 14, 1569 (2003).
19. Z. F. Mainen and T. J. Sejnowski, Science SCIEAS 0036-8075 10.1126/science.7770778 268, 1503 (1995).
20. D. MacKay, Information Theory, Inference and Learning Algorithms (Cambridge Univ. Press, Cambridge, England, 2003).
21. L. Paninski, J. W. Pillow, and E. P. Simoncelli, Neurocomputing NRCGEO 0925-2312 65-66, 379 (2005).
22. R. Azouz and C. M. Gray, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.97.26.14449 97, 8110 (2000).
23. H. E. Plesser and W. Gerstner, Neural Comput. NEUCEB 0899-7667 10.1162/089976600300015835 12, 367 (2000).
24. B. Agüera y Arcas, A. L. Fairhall, and W. Bialek, Neural Comput. NEUCEB 0899-7667 10.1162/08997660360675017 15, 1715 (2003).
25. E. J. Chichilnisky, Network Comput. Neural Syst. NTWREZ 0954-898X 10.1088/0954-898X/12/2/306 12, 199 (2001).
26. J. W. Pillow, L. Paninski, V. J. Uzzell, E. P. Simoncelli, and E. J. Chichilnisky, J. Neurosci. JNRSDS 0270-6474 25, 11003 (2005).