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Stochastic model of the place cell discharge

  • Neural Modeling (Biophysical and Structural Models)
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Foundations and Tools for Neural Modeling (IWANN 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1606))

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Abstract

The firing activity of place cells of the hippocampus reflects movements of an animal in its experimental area. This well known fact was recently reinvestigated (Fenton and Muller, 1998) and it was found that while the activity was highly reliable in space, it did not retain the same reliability in time. The number of spikes discharged during different passes through the firing field were characteristically very different. We present a mathematical model based on a double stochastic Poisson process, which is able to reproduce the experimental findings. The model permits speculations about the neural mechanisms leading to overdispersion in the activity of the hippocampal place cells.

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References

  • Adrian, E.D.: The Basis of Sensation: The Action of the Sense Organs. WW Norton, New York (1928).

    Google Scholar 

  • Bissel, A.F.: A negative binomial model with varying element size. Biometrika 59 (1972) 435–441.

    Article  MathSciNet  Google Scholar 

  • Blum, K.I., Abbott, L.F.: A model of spatial map formation in the hippocampus of the rat. Neural Comput. 8 (1996) 85–93.

    Article  Google Scholar 

  • Feller, W.: An Introduction to Probability Theory and its Applications, vol. 2. Wiley, New York (1966).

    MATH  Google Scholar 

  • Fenton, A.A., Muller, R.U.: Place cell discharge is extremally variable during individual passes of the rat through the firing field. Proc. Natl. Acad. Sci. USA 95 (1998) 3182–3187.

    Article  Google Scholar 

  • Gat, I., Tishby, N., Abeles, M.: Hidden Markov modelling of simultaneously recorded cells in the associative cortex of behaving monkeys. Network 8 (1997) 297–322.

    Article  MATH  Google Scholar 

  • Gerstner, W., van Hemmen, J.L.: Universality in neural networks: the importance of the ‘mean firing rate’. Biol. Cybern. 67 (1992) 195–205.

    Article  MATH  Google Scholar 

  • Johnson, D.H. Point process models of single-neuron discharges. J. Comput. Neurosci. 3 (1996) 275–300.

    Article  Google Scholar 

  • O’Keefe, J., Nadel, L.: The hippocampus as a Cognitive Map. Clarendon Press, Oxford (1978).

    Google Scholar 

  • Lánská, V.: Statistical inference for stochastic neuronal models. In: Ricciardi, L.M. (ed.): Biomathematics and Related Computational Problems. Kluwer, Dordrecht (1988).

    Google Scholar 

  • Lánský, P., Radil, T.: Statistical inference on spontaneous neuronal discharge patterns. Biol. Cybern. 55 (1987) 299–311.

    Article  MATH  Google Scholar 

  • Lánský, P., Sato, S.: The stochastic diffusion models of nerve membrane depolarization and interspike interval generation. J. Periph. Nervous Syst. (in pres).

    Google Scholar 

  • Levine, M.W.: The distribution of the intervals between neural impulses in the maintained discharges of retinal ganglion cells. Biol. Cybern. 65 (1991) 459–467.

    Article  Google Scholar 

  • Ogata, Y.: On Lewis’ simulation method for point processes. IEEE Trans. Inf. Theor. 27 (1981) 23–31.

    Article  MATH  Google Scholar 

  • Rieke, F., Warland, D., de Ruyter van Steveninck, R.R., Bialek, W.: Spikes: Exploring the Neural Code. MIT Press, Cambridge (1997).

    MATH  Google Scholar 

  • Redish, A.D., Touretzky, D.S.: The role of the hippocampus in solving the Morris water maze. Neural Comput. 10 (1998) 73–111.

    Article  Google Scholar 

  • Rospars, J.-P., Lánský, P., Vaillant, J., Duchamp-Viret, P., Duchamp, A.: Spontaneous activity of first-and second-order neurons in the olfactory system. Brain Research 662 (1994) 31–44.

    Article  Google Scholar 

  • Tuckwell, H.C.: Introduction to Theoretical Neurobiology. Cambridge Univ. Press, Cambridge (1988).

    Book  MATH  Google Scholar 

  • Yang, X., Shamma, S.A.: Identification of connectivity in neural networks. Biophys. J. 57 (1990) 987–999.

    Article  Google Scholar 

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José Mira Juan V. Sánchez-Andrés

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© 1999 Springer-Verlag Berlin Heidelberg

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Lánský, P., Vaillant, J. (1999). Stochastic model of the place cell discharge. In: Mira, J., Sánchez-Andrés, J.V. (eds) Foundations and Tools for Neural Modeling. IWANN 1999. Lecture Notes in Computer Science, vol 1606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098180

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  • DOI: https://doi.org/10.1007/BFb0098180

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66069-9

  • Online ISBN: 978-3-540-48771-5

  • eBook Packages: Springer Book Archive

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