Abstract
We study an integrate and fire model of an adapting neuron. Using two dynamic thresholds, we account for the complex long-term behavior of single neurons under periodic pulsed inputs. We find that the pattern of temporal response is that of a staircase of inter-spike interval values. The characteristic time scales of transitions between these ISI values are of the order of tens of seconds. The temporal behavior of our system can be described as a path through the two-dimensional phase space of dynamic thresholds.
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