On numerical simulations of integrate-and-fire neural networks

Neural Comput. 1998 Feb 15;10(2):467-83. doi: 10.1162/089976698300017845.


It is shown that very small time steps are required to reproduce correctly the synchronization properties of large networks of integrate-and-fire neurons when the differential system describing their dynamics is integrated with the standard Euler or second-order Runge-Kutta algorithms. The reason for that behavior is analyzed, and a simple improvement of these algorithms is proposed.

Publication types

  • Review

MeSH terms

  • Action Potentials / physiology
  • Algorithms*
  • Computer Simulation*
  • Models, Neurological
  • Neural Networks, Computer*
  • Neurons / physiology*
  • Reproducibility of Results