A Wilson-Cowan Model of an Oscillatory E-I Network

  • Christoph Börgers
Part of the Texts in Applied Mathematics book series (TAM, volume 66)


There is a large literature on neuronal network models attempting to model neuronal population activity without modeling individual neurons.

Supplementary material (234 kb)
(ZIP 235 KB)


  1. [51]
    G. B. Ermentrout and D. H. Terman, Mathematical Foundations of Neuroscience, Springer-Verlag, 2010.CrossRefzbMATHGoogle Scholar
  2. [136]
    S. Sahara, Y. Yanagawa, D. M. O’Leary, and C. F. Stevens, The fraction of cortical GABAergic neurons is constant from near the start of cortical neurogenesis to adulthood, J. Neurosci., 32 (2012), pp. 4755–4761.CrossRefGoogle Scholar
  3. [149]
    S. H. Strogatz, Nonlinear Dynamics and Chaos, Westview Press, 2nd ed., 2015.Google Scholar
  4. [184]
    H. R. Wilson, Spikes, Decisions, and Actions, Oxford University Press, 1999.zbMATHGoogle Scholar
  5. [185]
    H. R. Wilson and J. D. Cowan, Excitatory and inhibitory interactions in localized populations of model neurons, Biophys. J., 12 (1972), pp. 1–24.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Christoph Börgers
    • 1
  1. 1.Department of MathematicsTufts UniversityMedfordUSA

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