Biological Cybernetics

, Volume 97, Issue 5–6, pp 337–339 | Cite as

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

  • Nicolas BrunelEmail author
  • Mark C. W. van Rossum
Original Paper


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.


Neuron Model Polarizable Membrane Foul Smell Capacitor Circuit Companion Experi 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Barbara JG (2005). La heures sombres de la Neurophysiologie a Paris (1909–1939). La Lettre des Neurosciences 29: 3–6 Google Scholar
  2. 2.
    Blair HA (1932). On the intensity-time relations for stimulation by electric currents. J Gen Physiol 15: 709–729 CrossRefGoogle Scholar
  3. 3.
    Burkitt AN (2006a). A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biol Cybern 95(1): 1–19 PubMedCrossRefGoogle Scholar
  4. 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 PubMedCrossRefGoogle Scholar
  5. 5.
    Fulton JF (1953). Louis Lapicque, 1866–1952. J Neurophysiol 16(2): 97–100 PubMedGoogle Scholar
  6. 6.
    Geddes LA (1984). A short history of the electrical stimulation of excitable tissue. including electrotherapeutic applications. Physiologist 27(Suppl): S1–S47 PubMedGoogle Scholar
  7. 7.
    Gerstein GL and Mandelbrot B (1964). Random walk models for the spike activity of a single neuron. Biophys J 4: 41–68 PubMedCrossRefGoogle Scholar
  8. 8.
    Hill AV (1936). Excitation and accommodation in nerve. Proc Roy Soc B 119: 305–355 Google Scholar
  9. 9.
    Irnich W (2002). Georges Weiss’ fundamental law of electrostimulation is 100 years old. Pacing Clin Electrophysiol 25(2): 245–248 PubMedCrossRefGoogle Scholar
  10. 10.
    Izhikevich EM (2006). Dynamical systems in neuroscience. MIT Press, Cambridge,MA Google Scholar
  11. 11.
    Knight BW (1972a). Dynamics of encoding in a population of neurons. J Gen Physiol 59: 734–766 PubMedCrossRefGoogle Scholar
  12. 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 PubMedCrossRefGoogle Scholar
  13. 13.
    Stein R (1965). A theoretical analysis of neuronal variability. Biophys J 5: 173–194 PubMedGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Laboratory of Neurophysics and PhysiologyUniversité Paris Descartes, CNRS UMR 8119Paris Cedex 06France
  2. 2.Institute for Adaptive and Neural ComputationUniversity of EdinburghEdinburghUK

Personalised recommendations