How does a neuron vary its mean output firing rate if the input change
s from random to oscillatory coherent but noisy activity? What are the
critical parameters of the neuronal dynamics and input statistics? To
answer these questions, we investigate the coincidence-detection prop
erties of an integrate-and-fire neuron. We derive an expression indica
ting how coincidence detection depends on neuronal parameters. Specifi
cally, we show how coincidence detection depends on the shape of the p
ostsynaptic response function, the number of synapses, and the input s
tatistics, and we demonstrate that there is an optimal threshold. Our
considerations can be used to predict from neuronal parameters whether
and to what extent a neuron can act as a coincidence detector and thu
s can convert a temporal code into a rate code.