Resonance without oscillation?
Roland Mueller ane Andreas V.M. Herz
Humboldt University Berlin
Membrane potentials of single neurons often exhibit subthreshold
oscillations, either in the form of spontaneous oscillations or in the
form of damped oscillations following a pulse- or step-current input.
Similarly, many neurons exhibit subthreshold resonance patterns in
response to sine-wave or ZAP-current inputs. Both phenomena are
signatures of the same underlying biophysical processes. The specific
conditions for resonance and oscillations are, however, not the same.
In particular, a neuron may show resonance without exhibiting a
spontaneous or damped oscillations. We give a simple mathematical
explanation for this counter-intuitive finding and discuss some