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Two-dimensional Hodgkin-Huxley equations for investigating a basis of pulse-processing neural networks

  • Akira Hirose
Part I: Coding and Learning in Biology
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1327)

Abstract

Pulse-processing neural networks are expected to perform more delicate and essential signal processing than conventional firing-rate networks. The architecture is based on biological nerve systems much more and, hence, it is very important as a basis to investigate the dynamics of pulse signals in biological neural networks such as interactions of action potential (signal pulses. In this paper, two-dimensional Hodgkin-Huxley equations are proposed for a mesoscopic analysis and synthesis of membrane potential activities such as propagation and interaction. The proposed method will enable us to describe signal pulse dynamics by a universal method.

Keywords

Biological Neural Network Membrane Resistivity Membrane Potential Versus Injection Current Density Biological Nerve System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H.Napp-Zinn, M.Jansen, R.Eckmiller, Biol. Cybern. 74 (1996) 449–453Google Scholar
  2. 2.
    A.Hirose, Joint Conference of Information Sciences (JCIS) '97, Proc. 2 (1997, Research Triangle Park, U.S.A.) 42–45Google Scholar
  3. 3.
    A.L.Hodgkin, A.F.Huxley, J. Physiol., 117 (1952) 500–544Google Scholar
  4. 4.
    W.Rall, Experimental Neurol. 1 (1959) 491–527Google Scholar
  5. 5.
    W.Rall, in Neural Theory and Modeling, ed. R.F.Reiss, Palo Alto: Stanford University Press (1964)Google Scholar
  6. 6.
    W.Rall, “The Theoretical Foundation of Dendritic Function,” I.Segev, J.Rinzel, G.M.Shephard, eds., MIT Press (1995)Google Scholar
  7. 7.
    G.Stuart, M.Haeusser, Neuron, 13 (1994) 703–712Google Scholar
  8. 8.
    N.Spurston, D.B.Jafe, D.Johnston, TINS, 17 (1994) 161–166Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Akira Hirose
    • 1
  1. 1.Research Center for Advanced Science and Technology (ROAST)University of TokyoTokyoJapan

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