Skip to main content
SpringerLink
Log in

Lapicque’s 1907 paper: from frogs to integrate-and-fire

  • Original Paper
  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

Exactly 100 years ago, Louis Lapicque published a paper on the excitability of nerves that is often cited in the context of integrate-and-fire neurons. We discuss Lapicque’s contributions along with a translation of the original publication.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Barbara JG (2005). La heures sombres de la Neurophysiologie a Paris (1909–1939). La Lettre des Neurosciences 29: 3–6

    Google Scholar 

  2. Blair HA (1932). On the intensity-time relations for stimulation by electric currents. J Gen Physiol 15: 709–729

    Article  Google Scholar 

  3. Burkitt AN (2006a). A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biol Cybern 95(1): 1–19

    Article  PubMed  CAS  Google Scholar 

  4. Burkitt AN (2006b). A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties. Biol Cybern 95(2): 97–112

    Article  PubMed  CAS  Google Scholar 

  5. Fulton JF (1953). Louis Lapicque, 1866–1952. J Neurophysiol 16(2): 97–100

    PubMed  CAS  Google Scholar 

  6. Geddes LA (1984). A short history of the electrical stimulation of excitable tissue. including electrotherapeutic applications. Physiologist 27(Suppl): S1–S47

    PubMed  CAS  Google Scholar 

  7. Gerstein GL and Mandelbrot B (1964). Random walk models for the spike activity of a single neuron. Biophys J 4: 41–68

    Article  PubMed  CAS  Google Scholar 

  8. Hill AV (1936). Excitation and accommodation in nerve. Proc Roy Soc B 119: 305–355

    Google Scholar 

  9. Irnich W (2002). Georges Weiss’ fundamental law of electrostimulation is 100 years old. Pacing Clin Electrophysiol 25(2): 245–248

    Article  PubMed  Google Scholar 

  10. Izhikevich EM (2006). Dynamical systems in neuroscience. MIT Press, Cambridge,MA

    Google Scholar 

  11. Knight BW (1972a). Dynamics of encoding in a population of neurons. J Gen Physiol 59: 734–766

    Article  PubMed  CAS  Google Scholar 

  12. Knight BW (1972b). The relationship between the firing rate of a single neuron and the level of activity in a population of neurons. J Gen Physiol 59: 767–778

    Article  PubMed  CAS  Google Scholar 

  13. Stein R (1965). A theoretical analysis of neuronal variability. Biophys J 5: 173–194

    PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratory of Neurophysics and Physiology, Université Paris Descartes, CNRS UMR 8119, 45 rue des Saints Pères, 75270, Paris Cedex 06, France

    Nicolas Brunel

  2. Institute for Adaptive and Neural Computation, University of Edinburgh, 5 Forrest Hill, Edinburgh, EH1 2QL, UK

    Mark C. W. van Rossum

Authors
  1. Nicolas Brunel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mark C. W. van Rossum
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nicolas Brunel.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brunel, N., van Rossum, M.C.W. Lapicque’s 1907 paper: from frogs to integrate-and-fire. Biol Cybern 97, 337–339 (2007). https://doi.org/10.1007/s00422-007-0190-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00422-007-0190-0

Keywords

Search

Navigation