Biological Cybernetics

, Volume 82, Issue 4, pp 305–311 | Cite as

Analysis of neural spike trains with interspike interval reconstruction

  • Hideyuki Suzuki
  • Kazuyuki Aihara
  • Jun Murakami
  • Tateo Shimozawa

Abstract.

As a method for the analysis of neural spike trains, we examine fundamental characteristics of interspike interval (ISI) reconstruction theoretically with a leaky-integrator neuron model and experimentally with cricket wind receptor cells. Both the input to the leaky integrator and the stimulus to the wind receptor cells are the time series generated from the Rössler system. By numerical analysis of the leaky integrator, it is shown that, even if ISI reconstruction is possible, sometimes the entire structure of the Rössler attractor may not be reconstructed with ISI reconstruction. For analysis of the in vivo physiological responses of cricket wind receptor cells, we apply ISI reconstruction, nonlinear prediction and the surrogate data method to the experimental data. As a result of the analysis, it is found that there is a significant deterministic structure in the spike trains. By this analysis of physiological data, it is also shown that, even if ISI reconstruction is possible, the entire attractor may not be reconstructed.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Hideyuki Suzuki
    • 1
  • Kazuyuki Aihara
    • 1
  • Jun Murakami
    • 3
  • Tateo Shimozawa
    • 3
  1. 1. Department of Mathematical Engineering and Information Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-8656, JapanJP
  2. 2. CREST, Japan Science and Technology Corporation (JST), 4-1-8 Hon-cho, Kawaguchi, Saitama 332-0012, JapanJP
  3. 3. Research Institute for Electronic Science, Hokkaido University, N12 W6, Kita-ku, Sapporo 060-0812, JapanJP

Personalised recommendations