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Modeling Neuronal Firing in the Presence of Refractoriness

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Computational Methods in Neural Modeling (IWANN 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2686))

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Abstract

A mathematical characterization of the membrane potential as an instantaneous return process in the presence of refractoriness is investigated for diffusion models of single neuron’s activity. The statistical features of the random variable modeling the number of neuronal firings is analyzed by including the additional assumption of the existence of neuronal refractoriness. Asymptotic exact formulas for the multiple firing probabilities and for the expected number of produced firings are finally given.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, Napoli, Italy

    L.M. Ricciardi, G. Esposilo & C. Valerio

  2. Dipartimento di Matematica e Informatica, Università di Salerno, Via Allende, Baronissi, SA, Italy

    V. Giorno

Authors
  1. L.M. Ricciardi
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  2. G. Esposilo
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  3. V. Giorno
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  4. C. Valerio
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Editor information

Editors and Affiliations

  1. E.T.S. de Ingeniería Informática Departamento de Inteligencia Artificial, Universidad Nacional de Educación a Distancia, Juan del Rosal, 16, 28040, Madrid, Spain

    José Mira  & José R. Álvarez  & 

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© 2003 Springer-Verlag Berlin Heidelberg

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Ricciardi, L., Esposilo, G., Giorno, V., Valerio, C. (2003). Modeling Neuronal Firing in the Presence of Refractoriness. In: Mira, J., Álvarez, J.R. (eds) Computational Methods in Neural Modeling. IWANN 2003. Lecture Notes in Computer Science, vol 2686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44868-3_1

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  • DOI: https://doi.org/10.1007/3-540-44868-3_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40210-7

  • Online ISBN: 978-3-540-44868-6

  • eBook Packages: Springer Book Archive

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