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International Work-Conference on Artificial Neural Networks

IWANN 2005: Computational Intelligence and Bioinspired Systems pp 130–135Cite as

A Model of Spiking-Bursting Neuronal Behavior Using a Piecewise Linear Two-Dimensional Map

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3512))

Abstract

Models of neurons based on iterative maps allows the simulation of big networks of coupled neurons without loss of biophysical properties such as spiking, bursting or tonic bursting and with an affordable computational effort. A piecewise linear two dimensional map with one fast and one slow variable is used to model spiking–bursting neural behavior. This map shows oscillations similar to other phenomenological models based on maps that require a much higher computational effort. The dynamics of coupled neurons is studied for different coupling strengths.

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References

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Author information

Authors and Affiliations

  1. GNB, Escuela Politécnica Superior, Universidad Autonoma de Madrid, 28049, Madrid, Spain

    Carlos Aguirre, Doris Campos, Pedro Pascual & Eduardo Serrano

Authors
  1. Carlos Aguirre
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  2. Doris Campos
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  3. Pedro Pascual
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  4. Eduardo Serrano
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Editor information

Editors and Affiliations

  1. Departamento de Ingeniería Electrónica, Universitat Politècnica de Catalunya (UPC). E.T.S.I. de Telecomunicación, Campus Norte, Edificio C4, C/ Jordi Girona, 1-3, E08034, Barcelona, Spain

    Joan Cabestany

  2. Department of Computer Architecture and Computer Technology, University of Granada,  

    Alberto Prieto

  3. Grupo ISIS, Dpto. Tecnología Electrónica ETSI Telecomunicación, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Francisco Sandoval

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Aguirre, C., Campos, D., Pascual, P., Serrano, E. (2005). A Model of Spiking-Bursting Neuronal Behavior Using a Piecewise Linear Two-Dimensional Map. In: Cabestany, J., Prieto, A., Sandoval, F. (eds) Computational Intelligence and Bioinspired Systems. IWANN 2005. Lecture Notes in Computer Science, vol 3512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494669_17

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  • DOI: https://doi.org/10.1007/11494669_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26208-4

  • Online ISBN: 978-3-540-32106-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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