Fast kinetic models for simulating AMPA, NMDA, GABA(A) and GABA(B) receptors.
AAlain Destexhe, Zachary F. Mainen and Terrence J. Sejnowski

In: The Neurobiology of Computation, Edited by Bower, J., Kluwer Academic Press, Norwell MA, 1995, pp. 9-14.

Copy of the full paper (PDF)
Since the introduction of the alpha function by Rall in 1967, there has been significant progress in our understanding of the molecular events underlying synaptic transmission. Particular receptor types have been identified and their activation kinetics characterized. It is now possible to develop models of these receptors, using a formalism similar to that introduced by Hodgkin and Huxley. In this paper, we review recently-introduced models obtained by simplifying more detailed biophysical models of postsynaptic receptors. The simplified models are fully compatible with the Hodgkin-Huxley formalism, are very efficient to simulate, and account for important phenomena such as synaptic summation and desensitization. These models should be useful in large-scale network simulations.
NEURON demo:
This tar file creates a directory containing a demo for running the models of synaptic receptors using the Interviews version of the NEURON simulator. The simulation reproduce the figures of the Neural Computation paper and the J. Comput. Neurosci. paper, in which all details are given.

See also This package shows how to implement biophysical models of synaptic interactions using NEURON. Both detailed and simplified models of synaptic currents and most useful types of postsynaptic receptors (AMPA, NMDA, GABA_A, GABA_B, neuromodulators) are described in a reference paper. We provide here the complement to simulate the same models using NEURON. The reference paper is a chapter in the book “Methods in Neuronal Modeling”:

Destexhe, A., Mainen, Z.F. and Sejnowski, T.J. Kinetic models of synaptic transmission.
In: Methods in Neuronal Modeling , 2nd Edition, Edited by Koch, C. and Segev, I., MIT Press, Cambridge, MA, 1998, pp. 1-25

in which all details are given. More instructions are provided in a README file.