  This work reports a transfer function-based approach to characterizing the
operation of single neuronal cells in terms of the instantaneous frequency of
the input and output signals. We adopt the leaky integrate-and-fire model. The
transfer relationship is obtained by performing successive
numeric-computational simulations and statistical regressions. Several
interesting results are reported, including the identification and
characterization of linearity in the transfer relationship, as well as the
identification of regions in the parameter space characterized by sharper
transfer functions. These properties can be used to facilitate simulations
under certain circumstances and to validate the model by comparison with
biological results.
