Derivation of pool dynamics from microscopic neuronal models

  • J. Eggert
  • J. L. van Hemmen
Part I: Coding and Learning in Biology
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1327)


Starting from single, spiking neurons, we derive a system of differential equations for the description of the dynamics of pools of extensively many neurons. The derivation is exact and axonal delays and memory effects such as refractory behavior are taken into account. Simulations show a good quantitative agreement with microscopically modeled pools both in a quasistationary and in a non-stationary dynamical regime including fast transients and oscillations.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • J. Eggert
    • 1
  • J. L. van Hemmen
    • 1
  1. 1.Physik-DepartmentTechnische Universität MünchenGarching bei MünchenGermany

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