Before revision:  We compare results of computational neuroscience on models of timing-based synaptic plasticity with our results derived from averaging principles .
After revision:  We compare results of computational neuroscience . An important sub-class of plasticity kernels with a Markovian formulation is also defined and investigated. In these models, the time evolution of cellular processes such as the neuronal membrane potential and the concentrations of chemical components created/suppressed by spiking activity has the Markov property .