288 pp. per issue
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Neural Computation

March 1, 1997, Vol. 9, No. 3, Pages 503-514
(doi: 10.1162/neco.1997.9.3.503)
© 1997 Massachusetts Institute of Technology
Conductance-Based Integrate-and-Fire Models
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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.