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Un modèle du neurone

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Abstract

Expressions which describe the variations of the membrane potential are introduced. They consist of a second-order differential equation and of a threshold condition. The behavior of this differential equation is studied graphically in the phase plane. This formulation permits the description of certain properties which depend on time. In particular the excitability curve and the possibilities of synchronization are obtained, in agreement with observation. A simple extrapolation leads to the introduction of facilitation phenomena.

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Authors and Affiliations

  1. Commissariat à L'energie atomique, Paris, France

    Pierre P. Nelson

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  1. Pierre P. Nelson
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Nelson, P.P. Un modèle du neurone. Bulletin of Mathematical Biophysics 24, 159–181 (1962). https://doi.org/10.1007/BF02477424

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  • DOI: https://doi.org/10.1007/BF02477424

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