We develop a minimal time-continuous model for use-dependent synap- tic short-term plasticity that can account for both short-term depression and short-term facilitation. It is analyzed in the context of the spike re- sponse neuron model. Explicit expressions are derived for the synaptic strength as a function of previous spike arrival times. These results are then used to investigate the behavior of large networks of highly inter- connected neurons in the presence of short-term synaptic plasticity.
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