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Modelling Hodgkin-Huxley Neurons Interaction

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Computational Science and Its Applications – ICCSA 2009 (ICCSA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5592))

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Abstract

This paper deals with the analysis of a nonlinear dynamical system which models the axons interaction. A system with a source made by a sequence of high pulses (spike train) is analyzed. It is shown that on short range interval close to the initial time there is a chaotic behavior in the phase space, even if the solution asymptotically tends to a constant value.

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References

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, “G. Castelnuovo”, University of Rome, “La Sapienza”, P.le A. Moro 2, I-00185, Roma, Italy

    Gianni Mattioli & Massimo Scalia

Authors
  1. Gianni Mattioli
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  2. Massimo Scalia
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

  2. School of Business Systems, Monash University, 3800, Clayton, Victoria, Australia

    David Taniar

  3. L.I.S.U.T. - D.A.P.I.T., University of Basilicata, Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Beniamino Murgante

  4. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, 06123, Perugia, Italy

    Antonio Laganà

  5. School of Computing, Computer Communication Laboratory, SoongSil University, 1-1 Sang-do 5 Dong, Dong-jak Ku, 156-743, Seoul, Korea

    Youngsong Mun

  6. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

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© 2009 Springer-Verlag Berlin Heidelberg

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Mattioli, G., Scalia, M. (2009). Modelling Hodgkin-Huxley Neurons Interaction. In: Gervasi, O., Taniar, D., Murgante, B., Laganà, A., Mun, Y., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2009. ICCSA 2009. Lecture Notes in Computer Science, vol 5592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02454-2_57

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  • DOI: https://doi.org/10.1007/978-3-642-02454-2_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02453-5

  • Online ISBN: 978-3-642-02454-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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