Before revision:  We introduce a minimal model for synaptic integration  of action potentials and explore the basic properties of postsynaptic neurons thus defined. Our model supports two basic modes of summation that resemble the biological scenario. We compare presynaptic and postsynaptic neurons for basic noise enhancing properties such as stochastic resonance, coherence resonanceand firing rate statistics. The model can be used to investigate the response of postsynaptic neurons to different kinds of synaptic stimulation , especially in those cases where differences in synaptic connectivity are known to confer a significant functional advantage .
After revision:  We introduce a minimal model for synaptic integration of action potentials and explore the basic properties of postsynaptic neurons to two well known noise driven processes: stochastic and coherence resonance. Overall, the model offers a simple and intuitive test bed to explore various patterns of dendritic stimulation in simple neurons .