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How Noisy Adaptation of Neurons Shapes Interspike Interval Histograms and Correlations
Figure 2
Diffusion approximation of adaptation current.
A Sample traces of the integrate-and-fire dynamics with two-state adaptation channels, Eq. (20), (35) (
and 
). The fraction of open channels 
(top) exhibits discontinuous jumps with directions that depend on the presence or absence of a spike as given by the activation function 
(middle panel). B Sample traces of the diffusion model, Eq. (1), with the same 1st and 2nd infinitesimal jump moments of 
as in the channel model (A). C The fraction of open channels 
can be split into the deterministic part 
, Eq. (1b), corresponding to 
, and an Ornstein-Uhlenbeck process 
, Eq. (1c), with a correlation time equal to the adaptation time constant (colored noise). The parameters are 
, 
, 
.
doi: https://doi.org/10.1371/journal.pcbi.1001026.g002