This chapter discusses the models at different levels of realism and computational efficiency for simulating synapses and their plasticity. It outlines the experimental data that offer the parameter values for the synapse models, concentrating on the dominant transmitter and receptor types mediating fast synaptic transmission in the mammalian central nervous system. The underlying mechanisms of synaptic transmission are analyzed, and simple stochastic descriptions of transmitter release, stochastic modeling of transmitter diffusion, and stochastic models of channel gating are presented. The chapter shows some quite simple formulations that offer decent models for the synaptic current.
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