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fokker-planck-based-spike-rate-models

Implementations of spike rate models derived from networks of adaptive exponential integrate-and-fire models, as described in: Augustin*, Ladenbauer*, Baumann, Obermayer, Low-dimensional spike rate models derived from networks of adaptive integrate-and-fire neurons: comparison and implementation, PLOS Computational Biology 2017

  1. Numerical solution of the mean-field Fokker-Planck (FP) equation using a finite volume method with Scharfetter-Gummel flux approximation.
  2. Low-dimensional ordinary differential equations (ODE) derived from the spectral decomposition of the FP operator.
  3. Low-dimensional ODE based on a cascade of linear filters and a nonlinearity determined from the FP equation.

Furthermore: precalculation codes for the (look-up) quantities involved in (2) and (3).

For questions please contact us: Moritz Augustin and Josef Ladenbauer

Code Usage: change to folder adex_comparison and see the README.md file contained therein