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Complex spiking behavior from noise-driven neuron interaction

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Statistical Mechanics of Biocomplexity

Part of the book series: Lecture Notes in Physics ((LNP,volume 527))

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Abstract

A model of noise-driven biological neocortical networks which is based directly on rat neocortical in vitro recordings is introduced. Assuming only binary interaction, the model shows how complex spiking behavior is generated through the noise and gives a full description of the emerging spiking patterns. Mathematical universality properties predict that these patterns are independent of the individual neurons. These properties furthermore imply the observability of these patterns in in vivo neocortical networks, in the form of a complex background activity on top of which the processing of “real” data is performed. Interspike interval histograms are derived from this model and compared with the corresponding experimental histograms. Considerable agreement is found, which is notably expressed by the fact that both distributions are long-tailed.

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References

  1. A. Arieli, A. Sterkin, A. Grinvald, and A. Aertsen, Science 273, 1868–1871 (1996).

    Article  ADS  Google Scholar 

  2. L. Schiff, Nature 370, 615–620 (1994)

    Article  ADS  Google Scholar 

  3. L. Schiff, Nature 273, 1868–1871 (1996).

    Google Scholar 

  4. K. Schindler, C. Bernasconi, R. Stoop, P. Goodman, and R. Douglas, Z. Naturforsch. 52a, 509–5121 (1997).

    Google Scholar 

  5. M. Abeles, “Local cortical circuits,” Springer: Berlin (1982).

    Google Scholar 

  6. M. Hines, Int. J. Biomed. Comp. 24, 55–68 (1989).

    Article  Google Scholar 

  7. A.D. Reyes and E.E. Fetz, J. Neurophysiol. 69, 1661–1672 (1993)

    Google Scholar 

  8. A.D. Reyes and E.E. Fetz, J. Neurophysiol. 69, 1673–1683 (1993).

    Google Scholar 

  9. L. Glass and M. Mackey, “From Clocks to Chaos,” Princeton University Press: Princeton (1988)

    MATH  Google Scholar 

  10. L. Glass, M. Guevara, J. Belair, and A. Shrier, Phys. Rev. A 29, 1348–1357 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  11. R. Stoop, K. Schindler, and L.A. Bunimovich, submitted (1998).

    Google Scholar 

  12. J. Argyris, G. Faust, and M. Haase, “The Exploration of Chaos,” Vieweg: Braunschweig (1995).

    Google Scholar 

  13. E.P. Cornfeld, S.V. Fomin, and Ya.G. Sinai, “Ergodic Theory,” Springer: Berlin (1982).

    MATH  Google Scholar 

  14. Unpublished experimental results by K. Schindler.

    Google Scholar 

  15. C. Baesens, J. Guckenheimer, S. Kim, and R.S. MacKay, Physica D 49, 387–475 (1991).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. E. Ott, C. Grebogi, and J.A. Yorke, Phys. Rev. Lett. 64, 1196–1199 (1990).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. W. Feller, “An Introduction to Probability Theory and Its Applications,” vol.2, John Wiley: New York (1971).

    MATH  Google Scholar 

  18. M.C. Teich (1992), in McKenna, Davies, and Zornitzer (eds.) “Single Neuron Computation”, 589–625, Academic Press: San Diego (1994).

    Google Scholar 

  19. L.A. Bunimovich, and Ya.G. Sinai, Nonlinearity 1, 491–516 (1988).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. J. Losson and M. Mackey, Phys. Rev. E 50, 843–856 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  21. D. Hensel and H. Sompolinski, J. Comp. Neurosci. 3, 7–34 (1996).

    Article  Google Scholar 

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D. Reguera J.M.G. Vilar J.M. Rubí

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© 1999 Springer-Verlag

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Stoop, R. (1999). Complex spiking behavior from noise-driven neuron interaction. In: Reguera, D., Vilar, J., Rubí, J. (eds) Statistical Mechanics of Biocomplexity. Lecture Notes in Physics, vol 527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105018

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  • DOI: https://doi.org/10.1007/BFb0105018

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66245-7

  • Online ISBN: 978-3-540-48486-8

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