Interaction function of oscillating coupled neurons

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042704. doi: 10.1103/PhysRevE.88.042704. Epub 2013 Oct 18.


Large scale simulations of electrically coupled neuronal oscillators often employ the phase coupled oscillator paradigm to understand and predict network behavior. We study the nature of the interaction between such coupled oscillators using weakly coupled oscillator theory. By employing piecewise linear approximations for phase response curves and voltage time courses and parametrizing their shapes, we compute the interaction function for all such possible shapes and express it in terms of discrete Fourier modes. We find that reasonably good approximation is achieved with four Fourier modes that comprise of both sine and cosine terms.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Fourier Analysis
  • Models, Neurological*
  • Neurons / cytology*