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System Identification of Spiking Sensory Neurons Using Realistically Constrained Nonlinear Time Series Models

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Advances in Processing and Pattern Analysis of Biological Signals

Abstract

Gaussian local rate coding (GLR) transforms spike train data into time series data, making it possible to use time series models for neural system identification. A simple computational model is used to represent the dynamics of peripheral electrosensory system of an elasmobranch, and a maximum entropy criterion is used to simultaneously optimize the coding bandwidth and the structure and parameters of the computational model. The computational model may be suitable for other neural systems. The coding model is general and provides a natural definition of neural firing rate.

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References

  • Bialek. W., Rieke, F., De Ruyter van Steveninck, R.R., Warland D., 1991, Reading a neural code, Science 252: 1854–1856.

    Article  Google Scholar 

  • Bendat,.l.S. and Piersol, A.G., 1986, Random Data: Analysis and Measurement Techniques, Wiley -Inter-science: New York.

    Google Scholar 

  • Connor, F.R., 1982, Modulation, Edward Arnold Ltd: London.

    Google Scholar 

  • Hamming. R.W., 1983, Digital Filters, Prentice-Hall: Englewood Cliffs, NJ.

    Google Scholar 

  • Jaynes, E.T., 1979, Where do we stand on maximum entropy’? In: Levine, R.D. and Tribus, M., eds., The Maximum Entropy Formalism, MIT Press: MA, pp. 15–118.

    Google Scholar 

  • Kalmijn, A.J., 1982, Electric and magnetic field detection in elasmobranch fishes. Science 218: 916–918.

    Article  Google Scholar 

  • Kosko, B., 1992, Neural Networks and Fuzzy Systems, Prentice-Hall: NJ.

    MATH  Google Scholar 

  • Miller, J.P., 1994, Neurons Cleverer than we Thought’? Current Biology 4: 818–820.

    Article  Google Scholar 

  • Montgomery, J.C., 1984, Frequency response characteristics of primary and secondary neurons in the electrosensory system of the thornback ray. Comp. Biochem. Physiol. A79: 189–195.

    Article  Google Scholar 

  • Murray, R.W., 1960, Electrical sensitivity of the ampullae of Lorenzini. Nature, 187: 957.

    Article  Google Scholar 

  • Paulin, M.G., 1992, Digital filters for neural firing rate estimation. Biol. Cybernetics 66, 525–531.

    Article  Google Scholar 

  • Paulin, M.G., 1993a, A method for constructing data-based models of spiking neurons using a dynamic linear–static nonlinear cascade. Biological Cybernetics 69: 67–76.

    Article  MATH  Google Scholar 

  • Paulin, M.G., 1993b, Neural system identification applied to modelling dogfish electrosensory neurons. In: Eckman, F., ed., Computation in Neurons and Neural Systems, Kluwer Academic Press: Boston, pp. 191–196.

    Google Scholar 

  • Paulin, M.G., 1985, Electroreception and the compass sense of sharks. J. Theor. Biol. 174: 325–339.

    Article  Google Scholar 

  • Rumelhart, D.E. and McClelland, J.L., 1986, Parallel Distributed Processing: Explorations in the Microstructure of Cognition, MIT Press: MA.

    Google Scholar 

  • Sakamoto Y., Ishiguro M. and Kitagawa G, 1986. Akaike Information Criterion Statistics, KTK Scientific Press: Tokyo.

    MATH  Google Scholar 

  • Selverston, A.I., 1993, Modelling of neural circuits: What have we learned? Ann. Rev. Neurosci. 16: 531–46.

    Article  Google Scholar 

  • Tricas, T.C., 1982, Bioelectric mediated predation by swell sharks, CephaloscTllium ventriosum. Copeia, 4: 948–952.

    Article  Google Scholar 

  • Usher, M.L. 1984, Information theory for information technologists. Macmillan Inc.: London.

    Google Scholar 

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© 1996 Springer Science+Business Media New York

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Paulin, M.G. (1996). System Identification of Spiking Sensory Neurons Using Realistically Constrained Nonlinear Time Series Models. In: Gath, I., Inbar, G.F. (eds) Advances in Processing and Pattern Analysis of Biological Signals. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9098-6_13

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  • DOI: https://doi.org/10.1007/978-1-4757-9098-6_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9100-6

  • Online ISBN: 978-1-4757-9098-6

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