Conductance-based integrate-and-fire models

Neural Comput. 1997 Apr 1;9(3):503-14. doi: 10.1162/neco.1997.9.3.503.

Abstract

A conductance-based model of Na+ and K+ currents underlying action potential generation is introduced by simplifying the quantitative model of Hodgkin and Huxley (HH). If the time course of rate constants can be approximated by a pulse, HH equations can be solved analytically. Pulse-based (PB) models generate action potentials very similar to the HH model but are computationally faster. Unlike the classical integrate-and-fire (IAF) approach, they take into account the changes of conductances during and after the spike, which have a determinant influence in shaping neuronal responses. Similarities and differences among PB, IAF, and HH models are illustrated for three cases: high-frequency repetitive firing, spike timing following random synaptic inputs, and network behavior in the presence of intrinsic currents.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Action Potentials / physiology
  • Computer Simulation
  • Electrophysiology
  • Ion Channels / physiology*
  • Membrane Potentials / physiology
  • Neural Networks, Computer*
  • Potassium Channels / physiology
  • Sodium Channels / physiology

Substances

  • Ion Channels
  • Potassium Channels
  • Sodium Channels